chocolate1817 chocolate1817
  • 22-01-2021
  • Mathematics
contestada

DETERMINA EL VOLUMEN DE UN PRISMA PENTAGONAL QUE TIENE LAS SIGUIENTES MEDIDAS: LADO 6.1 CM, APOTEMA 4.5, ALTURA 12.5CM DEL PRISMA

Respuesta :

adefunkeadewole adefunkeadewole
  • 24-01-2021

Answer:

837.23 cm³

Step-by-step explanation:

La fórmula para el volumen de un prisma pentagonal se da como:

1/2 (5 s × a) × h

Dónde:

s = longitud lateral

a = Apotema

h = altura

De la pregunta anterior:

s = largo de lado = 6.1 cm

a = Apotema = 4.5 cm

h = Altura = 12.5 cm

Por lo tanto:

El volumen del prisma pentagonal =

1/2 (5 × 6.1 × 4.5) × 12.5

= 1/2 × 137.25 × 12.5

= 837.225 cm³

Aproximadamente = 837.23 cm³

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