allieick
allieick allieick
  • 19-03-2019
  • Mathematics
contestada

What is the volume of the regular pyramid?

A. 6739.4cm^3

B. 8985.6cm^3

C. 4492.8cm^3

D. 13,478.4cm^3


What is the volume of the regular pyramid A 67394cm3 B 89856cm3 C 44928cm3 D 134784cm3 class=

Respuesta :

frika
frika frika
  • 19-03-2019

Answer:

C

Step-by-step explanation:

The volume of the regular pyramid is [tex]V=\dfrac{1}{3}A_{base}H.[/tex]

The base of given pyramid is regular hexagon with side 12 cm. The are of this hexagon consistsof area of 6 equilateral triangles and is equal to

[tex]A_{base}=6\cdot \dfrac{1}{2}\cdot 12\cdot 10.4=374.4\ cm^2.[/tex]

Hence, the volume of the pyramid is

[tex]V=\dfrac{1}{3}\cdot 374.4\cdot 36=4,492.8\ cm^3.[/tex]

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