Question

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

Answer 1

C

Explanation:

The volume of the regular pyramid is
`V=(1)/(3)A_(base)H.`

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

`A_(base)=6\cdot (1)/(2)\cdot 12\cdot 10.4=374.4\ cm^2.`

Hence, the volume of the pyramid is

`V=(1)/(3)\cdot 374.4\cdot 36=4,492.8\ cm^3.`