kaylarose9681 kaylarose9681
  • 08-06-2021
  • Mathematics
contestada

¿ cuál será el volumen de una pirámide hexagonal si las aristas de la base miden 8cm, la apotema vale9.93cm y su altura es de 28cm?

Respuesta :

adefunkeadewole adefunkeadewole
  • 10-06-2021

Answer:

2224.32 cm³

Step-by-step explanation:

La fórmula para el volumen de una pirámide hexagonal = 1/3 (1/2 × P × a) × h

Donde a = Apotema = 9,93 cm

P = Perímetro =

Pirámide hexagonal = 6 × Bordes de la base = 6 × 8 cm = 48 cm

h = Altura = 28 cm

Por eso,

Volumen de la pirámide hexagonal = 1/3 (1/2 (48 × 9.93) × 28 cm

= 1/3 × 238.32 × 28 cm

= 2224.32 cm³

Volumen de la pirámide hexagonal = 2224.32 cm³

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