GabinoG514458 GabinoG514458
  • 03-11-2022
  • Mathematics
contestada

queremos hacer una tetra brik de base cuadrada de 8cm de lado y con capacidad de 2l¿cuanto cartón necesitaremos ?

Respuesta :

KingdomI507938 KingdomI507938
  • 03-11-2022

transformamos las unidades de litros a centimetros cubicos, esto es:

1 L = 1000 cm3

2L = 2000 cm3

hallamos el area de la base

[tex]A=L^2=8^2=64cm^2[/tex][tex]\begin{gathered} V=A\times h \\ 2000=64\times h \\ \frac{2000}{64}=\frac{64h}{64} \\ h=31.25 \end{gathered}[/tex]

hallamos el area lateral

[tex]Alateral=P\times h=(4\times8)\times31.25=32\times31.25=1000cm^2[/tex]

luego el area total

[tex]\text{Atotal}=2Abase+Alateral=2(64)+1000=128+1000=1128\operatorname{cm}[/tex]

respuesta: se necesitan 1128 cm2 de carton

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