192:@0.067867:0.963104:0.109245:0.963104:0.109245:0.941283:0.067867:0.941283:0.000000:0.000000:0.000000
Matemática:@0.120102:0.956142:0.204868:0.956142:0.204868:0.943479:0.120102:0.943479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
9.º EGB:@0.120102:0.967458:0.170641:0.967458:0.170641:0.954794:0.120102:0.954794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
DUA:@0.070720:0.123711:0.114363:0.123711:0.114363:0.103460:0.070720:0.103460:0.000000:0.000000:0.000000
. Representación:@0.114363:0.123082:0.246653:0.123082:0.246653:0.106182:0.114363:0.106182:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.094760:0.108604:0.183816:0.108604:0.183816:0.011516:0.094760:0.011516:0.000000:0.000000
Áreas de sólidos geométricos:@0.286308:0.079033:0.793584:0.079033:0.793584:0.042159:0.286308:0.042159:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El cálculo del área de sólidos geométricos es fundamental no solo en la resolución :@0.287495:0.153866:0.907694:0.153866:0.907694:0.137477:0.287495:0.137477:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de problemas matemáticos sino también en diversas aplicaciones. La principal: de-:@0.287495:0.170462:0.903706:0.170462:0.903706:0.154073:0.287495:0.154073:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
terminar la cantidad de superficie que recubre un objeto tridimensional, lo cual es :@0.287495:0.187059:0.907676:0.187059:0.907676:0.170670:0.287495:0.170670:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
útil en construcción, arquitectura, ingeniería, producción y diseño. Además, el cálcu-:@0.287495:0.203655:0.903640:0.203655:0.903640:0.187266:0.287495:0.187266:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
lo del área de sólidos geométricos es esencial en la resolución de problemas de física :@0.287495:0.220251:0.907622:0.220251:0.907622:0.203863:0.287495:0.203863:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y química, donde se requiere conocer la superficie de objetos tridimensionales para :@0.287495:0.236848:0.907676:0.236848:0.907676:0.220459:0.287495:0.220459:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
realizar cálculos de fuerza, presión o reacciones químicas. :@0.287495:0.253444:0.709409:0.253444:0.709409:0.237055:0.287495:0.237055:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Área de poliedros:@0.287495:0.278993:0.440275:0.278993:0.440275:0.260556:0.287495:0.260556:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El área de poliedros se obtiene de la suma de las áreas de todas las caras que confor-:@0.287495:0.298838:0.903531:0.298838:0.903531:0.282449:0.287495:0.282449:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
man el poliedro.:@0.287495:0.315434:0.406352:0.315434:0.406352:0.299045:0.287495:0.299045:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplos :@0.287495:0.339153:0.357318:0.339153:0.357318:0.322515:0.287495:0.322515:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Determina el área total de los siguientes poliedros.:@0.287495:0.359318:0.656833:0.359318:0.656833:0.342929:0.287495:0.342929:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a) :@0.294615:0.383672:0.311636:0.383672:0.311636:0.368307:0.294615:0.368307:0.000000:0.000000:0.000000
Tetraedro de lado 4 cm.:@0.318353:0.383672:0.475173:0.383672:0.475173:0.368773:0.318353:0.368773:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b) :@0.599256:0.383672:0.617466:0.383672:0.617466:0.368307:0.599256:0.368307:0.000000:0.000000:0.000000
Prisma hexagonal de 10 cm de alto :@0.622994:0.383672:0.860089:0.383672:0.860089:0.368773:0.622994:0.368773:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y de base tiene 4 cm de lado. :@0.622994:0.398759:0.820485:0.398759:0.820485:0.383860:0.622994:0.383860:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Solución:@0.287495:0.527889:0.351273:0.527889:0.351273:0.511251:0.287495:0.511251:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a) :@0.287495:0.544486:0.306218:0.544486:0.306218:0.527585:0.287495:0.527585:0.000000:0.000000:0.000000
El área total del tetraedro es la suma de las áreas de los triángulos que lo compo-:@0.311230:0.544486:0.903636:0.544486:0.903636:0.528097:0.311230:0.528097:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
nen. Hallamos el área de uno de los triángulos, mediante la fórmula de Herón :@0.311230:0.561082:0.907755:0.561082:0.907755:0.544693:0.311230:0.544693:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y multiplicaremos por 4.:@0.311230:0.577678:0.487839:0.577678:0.487839:0.561289:0.311230:0.561289:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.291107:0.606365:0.301003:0.606365:0.301003:0.590004:0.291107:0.590004:0.000000
s sa sb sc:@0.330266:0.606365:0.471440:0.606365:0.471440:0.590004:0.330266:0.590004:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
s:@0.558474:0.606365:0.564850:0.606365:0.564850:0.590004:0.558474:0.590004:0.000000
ab c:@0.583385:0.597603:0.641045:0.597603:0.641045:0.581241:0.583385:0.581241:0.000000:0.000000:0.000000:0.000000
A:@0.291107:0.638622:0.301003:0.638622:0.301003:0.622261:0.291107:0.622261:0.000000
=:@0.304136:0.605955:0.314252:0.605955:0.314252:0.589013:0.304136:0.589013:0.000000
−:@0.355751:0.605955:0.365868:0.605955:0.365868:0.589013:0.355751:0.589013:0.000000
(:@0.338590:0.607699:0.344727:0.607699:0.344727:0.586046:0.338590:0.586046:0.000000
)(:@0.378910:0.607699:0.392523:0.607699:0.392523:0.586046:0.378910:0.586046:0.000000:0.000000
−:@0.403558:0.605950:0.413674:0.605950:0.413674:0.589008:0.403558:0.589008:0.000000
)(:@0.426430:0.607699:0.440058:0.607699:0.440058:0.586046:0.426430:0.586046:0.000000:0.000000
−:@0.451093:0.605950:0.461209:0.605950:0.461209:0.589008:0.451093:0.589008:0.000000
):@0.473338:0.607699:0.479475:0.607699:0.479475:0.586046:0.473338:0.586046:0.000000
=:@0.568621:0.605950:0.578738:0.605950:0.578738:0.589008:0.568621:0.589008:0.000000
++:@0.595530:0.597188:0.630506:0.597188:0.630506:0.580246:0.595530:0.580246:0.000000:0.000000
=:@0.646729:0.605950:0.656846:0.605950:0.656846:0.589008:0.646729:0.589008:0.000000
++:@0.673638:0.597188:0.708890:0.597188:0.708890:0.580246:0.673638:0.580246:0.000000:0.000000
=:@0.725989:0.605950:0.736106:0.605950:0.736106:0.589008:0.725989:0.589008:0.000000
=:@0.304144:0.638202:0.314261:0.638202:0.314261:0.621260:0.304144:0.621260:0.000000
−:@0.359740:0.638202:0.369857:0.638202:0.369857:0.621260:0.359740:0.621260:0.000000
(:@0.340579:0.639957:0.346715:0.639957:0.346715:0.618305:0.340579:0.618305:0.000000
)(:@0.382889:0.639957:0.396502:0.639957:0.396502:0.618305:0.382889:0.618305:0.000000:0.000000
;    donde: :@0.480880:0.606365:0.558645:0.606365:0.558645:0.589976:0.480880:0.589976:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 cm:@0.749076:0.606365:0.776515:0.606365:0.776515:0.589976:0.749076:0.589976:0.000000:0.000000:0.000000
2:@0.608233:0.617208:0.617226:0.617208:0.617226:0.600819:0.608233:0.600819:0.000000
444:@0.661806:0.597603:0.721069:0.597603:0.721069:0.581214:0.661806:0.581214:0.000000:0.000000:0.000000
2:@0.686935:0.617209:0.695927:0.617209:0.695927:0.600820:0.686935:0.600820:0.000000
6:@0.739287:0.606366:0.748280:0.606366:0.748280:0.589977:0.739287:0.589977:0.000000
66 4 66464:@0.329954:0.638618:0.481153:0.638622:0.481153:0.622233:0.329954:0.622229:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
693:@0.506528:0.638622:0.538500:0.638622:0.538500:0.622233:0.506528:0.622233:0.000000:0.000000:0.000000
2:@0.565898:0.630961:0.571110:0.630961:0.571110:0.621463:0.565898:0.621463:0.000000
−:@0.409525:0.638207:0.419642:0.638207:0.419642:0.621265:0.409525:0.621265:0.000000
)(:@0.432675:0.639957:0.446288:0.639957:0.446288:0.618305:0.432675:0.618305:0.000000:0.000000
−:@0.459311:0.638207:0.469428:0.638207:0.469428:0.621265:0.459311:0.621265:0.000000
):@0.482461:0.639957:0.488598:0.639957:0.488598:0.618305:0.482461:0.618305:0.000000
=:@0.493235:0.638207:0.503352:0.638207:0.503352:0.621265:0.493235:0.621265:0.000000
,:@0.515754:0.638622:0.518960:0.638622:0.518960:0.622233:0.515754:0.622233:0.000000
cm:@0.542768:0.638622:0.566190:0.638622:0.566190:0.622233:0.542768:0.622233:0.000000:0.000000
Luego, el área total es:  :@0.287509:0.670598:0.457207:0.670598:0.457207:0.654209:0.287509:0.654209:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
At:@0.457651:0.671434:0.472928:0.671434:0.472928:0.655073:0.457651:0.655073:0.000000:0.000000
A:@0.501583:0.671434:0.511478:0.671434:0.511478:0.655073:0.501583:0.655073:0.000000
=:@0.475434:0.671379:0.485551:0.671379:0.485551:0.654436:0.475434:0.654436:0.000000
=:@0.512138:0.671379:0.522255:0.671379:0.522255:0.654436:0.512138:0.654436:0.000000
():@0.558465:0.673115:0.582403:0.673115:0.582403:0.651463:0.558465:0.651463:0.000000:0.000000
=:@0.585583:0.671375:0.595699:0.671375:0.595699:0.654433:0.585583:0.654433:0.000000
4:@0.489040:0.671790:0.498033:0.671790:0.498033:0.655401:0.489040:0.655401:0.000000
6 93 4:@0.525416:0.671790:0.575097:0.671790:0.575097:0.655401:0.525416:0.655401:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2772 cm:@0.598611:0.671790:0.666577:0.671790:0.666577:0.655401:0.598611:0.655401:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.666309:0.664119:0.671521:0.664119:0.671521:0.654621:0.666309:0.654621:0.000000
,:@0.534645:0.671790:0.537852:0.671790:0.537852:0.655401:0.534645:0.655401:0.000000
,:@0.616464:0.671790:0.619670:0.671790:0.619670:0.655401:0.616464:0.655401:0.000000
b) :@0.287502:0.697888:0.307533:0.697888:0.307533:0.680987:0.287502:0.680987:0.000000:0.000000:0.000000
El área total del prisma hexagonal es la suma de las áreas de las dos bases más :@0.311237:0.697888:0.907773:0.697888:0.907773:0.681499:0.311237:0.681499:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
las áreas de las caras laterales.:@0.311237:0.714484:0.527021:0.714484:0.527021:0.698095:0.311237:0.698095:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Calculamos el área de una de las bases::@0.287502:0.738203:0.573774:0.738203:0.573774:0.721814:0.287502:0.721814:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ap:@0.289281:0.765332:0.307709:0.765332:0.307709:0.748970:0.289281:0.748970:0.000000:0.000000
Pnl:@0.288452:0.786091:0.328053:0.786091:0.328053:0.769730:0.288452:0.769730:0.000000:0.000000:0.000000
A:@0.289281:0.815591:0.299177:0.815591:0.299177:0.799230:0.289281:0.799230:0.000000
Pap:@0.323778:0.806836:0.361518:0.806836:0.361518:0.790475:0.323778:0.790475:0.000000:0.000000:0.000000
B:@0.298024:0.817597:0.303151:0.817597:0.303151:0.808115:0.298024:0.808115:0.000000
=:@0.311845:0.764917:0.321962:0.764917:0.321962:0.747975:0.311845:0.747975:0.000000
−:@0.357173:0.764917:0.367290:0.764917:0.367290:0.747975:0.357173:0.747975:0.000000
=:@0.390328:0.764917:0.400445:0.764917:0.400445:0.747975:0.390328:0.747975:0.000000
=:@0.301489:0.785676:0.311605:0.785676:0.311605:0.768734:0.301489:0.768734:0.000000
= ⋅=:@0.332425:0.785676:0.385887:0.785676:0.385887:0.768734:0.332425:0.768734:0.000000:0.000000:0.000000:0.000000
=:@0.309026:0.815176:0.319142:0.815176:0.319142:0.798234:0.309026:0.798234:0.000000
⋅:@0.335303:0.806422:0.339910:0.806422:0.339910:0.789479:0.335303:0.789479:0.000000
=:@0.366501:0.815176:0.376618:0.815176:0.376618:0.798234:0.366501:0.798234:0.000000
⋅:@0.400851:0.806422:0.405457:0.806422:0.405457:0.789479:0.400851:0.789479:0.000000
=:@0.433523:0.815176:0.443639:0.815176:0.443639:0.798234:0.433523:0.798234:0.000000
4:@0.337975:0.765332:0.346968:0.765332:0.346968:0.748943:0.337975:0.748943:0.000000
2:@0.369597:0.765332:0.378590:0.765332:0.378590:0.748943:0.369597:0.748943:0.000000
35 cm:@0.403357:0.765332:0.453252:0.765332:0.453252:0.748943:0.403357:0.748943:0.000000:0.000000:0.000000:0.000000:0.000000
64 24 cm:@0.345715:0.786091:0.434917:0.786091:0.434917:0.769702:0.345715:0.769702:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.338326:0.826434:0.347318:0.826434:0.347318:0.810045:0.338326:0.810045:0.000000
24 35:@0.380986:0.806836:0.429395:0.806836:0.429395:0.790448:0.380986:0.790448:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.400556:0.826434:0.409548:0.826434:0.409548:0.810045:0.400556:0.810045:0.000000
42 cm:@0.447104:0.815591:0.492650:0.815591:0.492650:0.799202:0.447104:0.799202:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.347286:0.757680:0.352498:0.757680:0.352498:0.748181:0.347286:0.748181:0.000000
2:@0.378332:0.757680:0.383544:0.757680:0.383544:0.748181:0.378332:0.748181:0.000000
2:@0.492402:0.807935:0.497613:0.807935:0.497613:0.798437:0.492402:0.798437:0.000000
,:@0.411993:0.765332:0.415199:0.765332:0.415199:0.748943:0.411993:0.748943:0.000000
,:@0.415549:0.806836:0.418755:0.806836:0.418755:0.790448:0.415549:0.790448:0.000000
Hallamos el área de una de las caras laterales:  :@0.287495:0.847733:0.625397:0.847733:0.625397:0.831344:0.287495:0.831344:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.629015:0.848936:0.638910:0.848936:0.638910:0.832575:0.629015:0.832575:0.000000
b h:@0.660784:0.848936:0.687891:0.848936:0.687891:0.832575:0.660784:0.832575:0.000000:0.000000:0.000000
L:@0.637750:0.850940:0.642171:0.850940:0.642171:0.841458:0.637750:0.841458:0.000000
=⋅ =⋅:@0.647749:0.848521:0.719985:0.848521:0.719985:0.831579:0.647749:0.831579:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.741675:0.848521:0.751791:0.848521:0.751791:0.831579:0.741675:0.831579:0.000000
41040 cm:@0.704451:0.848936:0.801407:0.848936:0.801407:0.832547:0.704451:0.832547:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.801139:0.841275:0.806351:0.841275:0.806351:0.831777:0.801139:0.831777:0.000000
Luego, el área total es la suma: :@0.287479:0.875020:0.513602:0.875020:0.513602:0.858631:0.287479:0.858631:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.517216:0.876610:0.527112:0.876610:0.527112:0.860249:0.517216:0.860249:0.000000
A:@0.559987:0.876610:0.569882:0.876610:0.569882:0.860249:0.559987:0.860249:0.000000
A:@0.602131:0.876610:0.612026:0.876610:0.612026:0.860249:0.602131:0.860249:0.000000
A:@0.517216:0.899209:0.527112:0.899209:0.527112:0.882848:0.517216:0.882848:0.000000
A:@0.517216:0.922942:0.527112:0.922942:0.527112:0.906581:0.517216:0.906581:0.000000
T:@0.525813:0.878614:0.530523:0.878614:0.530523:0.869132:0.525813:0.869132:0.000000
B:@0.568746:0.878614:0.573872:0.878614:0.573872:0.869132:0.568746:0.869132:0.000000
L:@0.610888:0.878614:0.615309:0.878614:0.615309:0.869132:0.610888:0.869132:0.000000
T:@0.525813:0.901209:0.530523:0.901209:0.530523:0.891727:0.525813:0.891727:0.000000
T:@0.525813:0.924943:0.530523:0.924943:0.530523:0.915460:0.525813:0.915460:0.000000
=:@0.537488:0.876195:0.547605:0.876195:0.547605:0.859253:0.537488:0.859253:0.000000
+:@0.579116:0.876195:0.589233:0.876195:0.589233:0.859253:0.579116:0.859253:0.000000
=:@0.537488:0.898788:0.547605:0.898788:0.547605:0.881846:0.537488:0.881846:0.000000
( ):@0.560575:0.900538:0.592841:0.900538:0.592841:0.878886:0.560575:0.878886:0.000000:0.000000:0.000000
+:@0.595388:0.898788:0.605505:0.898788:0.605505:0.881846:0.595388:0.881846:0.000000
( ):@0.618999:0.900538:0.651837:0.900538:0.651837:0.878886:0.618999:0.878886:0.000000:0.000000:0.000000
=:@0.537488:0.922519:0.547605:0.922519:0.547605:0.905577:0.537488:0.905577:0.000000
2:@0.550516:0.876617:0.559509:0.876617:0.559509:0.860228:0.550516:0.860228:0.000000
6:@0.592089:0.876617:0.601082:0.876617:0.601082:0.860228:0.592089:0.860228:0.000000
242:@0.550516:0.899215:0.586100:0.899215:0.586100:0.882826:0.550516:0.882826:0.000000:0.000000:0.000000
6 40  cm:@0.608361:0.899215:0.681460:0.899203:0.681460:0.882814:0.608361:0.882826:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
324 cm:@0.550516:0.922948:0.605538:0.922936:0.605538:0.906547:0.550516:0.906559:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.681192:0.891541:0.686404:0.891541:0.686404:0.882042:0.681192:0.882042:0.000000
2:@0.605281:0.915274:0.610493:0.915274:0.610493:0.905776:0.605281:0.905776:0.000000
x:@0.192260:0.234749:0.201437:0.234749:0.201437:0.217641:0.192260:0.217641:0.000000
y:@0.166443:0.194393:0.175601:0.194393:0.175601:0.177284:0.166443:0.177284:0.000000
Los envases de alimentos :@0.100283:0.353647:0.256256:0.353647:0.256256:0.340238:0.100283:0.340238:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tienen forma de prismas :@0.106962:0.367226:0.256256:0.367226:0.256256:0.353817:0.106962:0.353817:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
rectangulares.:@0.168628:0.380805:0.252954:0.380805:0.252954:0.367396:0.168628:0.367396:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
©:@0.070380:0.326546:0.070380:0.321439:0.058298:0.321439:0.058298:0.326546:0.000000
Shutterstock:@0.070380:0.321439:0.070380:0.283721:0.058469:0.283721:0.058469:0.321439:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4 cm:@0.638679:0.794678:0.653992:0.775551:0.638677:0.768645:0.623364:0.787772:0.000000:0.000000:0.000000:0.000000
4 cm:@0.641036:0.813914:0.670768:0.813914:0.670768:0.800505:0.641036:0.800505:0.000000:0.000000:0.000000:0.000000
ap:@0.678632:0.792745:0.678632:0.781361:0.660796:0.781361:0.660796:0.792745:0.000000:0.000000
4 cm:@0.792277:0.817422:0.822009:0.817422:0.822009:0.804013:0.792277:0.804013:0.000000:0.000000:0.000000:0.000000
10 cm:@0.785955:0.783503:0.785955:0.755667:0.768088:0.755667:0.768088:0.783503:0.000000:0.000000:0.000000:0.000000:0.000000
©:@0.070380:0.840375:0.070380:0.835268:0.058298:0.835268:0.058298:0.840375:0.000000
Wikimedia Commons:@0.070380:0.835268:0.070380:0.770550:0.058469:0.770550:0.058469:0.835268:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Matemática :@0.159958:0.591840:0.248997:0.591840:0.248997:0.576476:0.159958:0.576476:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y ciencias exactas:@0.118429:0.606928:0.245527:0.606928:0.245527:0.591564:0.118429:0.591564:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En física, geometría :@0.116435:0.625574:0.249196:0.625574:0.249196:0.610675:0.116435:0.610675:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y análisis matemático,:@0.100051:0.640661:0.245527:0.640661:0.245527:0.625762:0.100051:0.625762:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 un objeto o ente :@0.129904:0.655749:0.249196:0.655749:0.249196:0.640850:0.129904:0.640850:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
es tridimensional si tiene :@0.080518:0.670837:0.249198:0.670837:0.249198:0.655938:0.080518:0.655938:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tres dimensiones. Es decir, :@0.072661:0.685924:0.249194:0.685924:0.249194:0.671025:0.072661:0.671025:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cada uno de sus puntos :@0.086281:0.701012:0.249194:0.701012:0.249194:0.686113:0.086281:0.686113:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
puede ser localizado :@0.108394:0.716100:0.249198:0.716100:0.249198:0.701201:0.108394:0.701201:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
especificando tres :@0.124861:0.731187:0.249196:0.731187:0.249196:0.716288:0.124861:0.716288:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
números dentro de :@0.116251:0.746275:0.249196:0.746275:0.249196:0.731376:0.116251:0.731376:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
un cierto rango. :@0.139687:0.761362:0.249196:0.761362:0.249196:0.746463:0.139687:0.746463:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Interdisciplinariedad:@0.090901:0.562681:0.248107:0.562681:0.248107:0.545781:0.090901:0.545781:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo: anchura, :@0.131768:0.900735:0.254363:0.900735:0.254363:0.885836:0.131768:0.885836:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
altura y profundidad.:@0.111850:0.915823:0.250692:0.915823:0.250692:0.900924:0.111850:0.900924:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Trabaja en tu autoestima :@0.080774:0.456292:0.249201:0.456292:0.249201:0.441393:0.080774:0.441393:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
reconociendo tus logros :@0.083254:0.471380:0.249201:0.471380:0.249201:0.456481:0.083254:0.456481:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y cualidades. Esto te dará :@0.079015:0.486467:0.249201:0.486467:0.249201:0.471568:0.079015:0.471568:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mayor confianza en tus :@0.090574:0.501555:0.249203:0.501555:0.249203:0.486656:0.090574:0.486656:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
decisiones y emociones.:@0.083873:0.516643:0.245531:0.516643:0.245531:0.501744:0.083873:0.501744:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
        Socioemocional:@0.095520:0.423853:0.245164:0.423853:0.245164:0.406952:0.095520:0.406952:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.4.2.20. :@0.292682:0.960547:0.341019:0.960547:0.341019:0.949792:0.292682:0.949792:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Construir pirámides, prismas, conos y cilindros a partir de patrones en dos dimensiones (redes), para calcular el área lateral :@0.340820:0.960547:0.906291:0.960547:0.906291:0.950117:0.340820:0.950117:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y total de estos cuerpos geométricos.:@0.292682:0.971108:0.466937:0.971108:0.466937:0.960679:0.292682:0.960679:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000