Question

The diagram shows a pyramid whose base is a regular hexagon with the sides of length 3m, and the height of the pyramid is 6m. What is the volume of the pyramid?

A. 36m


B. 46.8m

C. 51.4m


D. 54m

Answer 1

B. 46.8m is the correct answer

Explanation:

Answer 2

B.
`46.8\ \text{m}^3`

Explanation:

a = Hexagonal edge length = 3 m

h = Height of pyramid = 6 m

Volume of right hexagonal pyramid is given by

`V=(√(3))/(2)a^2h`

`\Rightarrow V=(√(3))/(2)* 3^2* 6`

`\Rightarrow V=46.76\approx 46.8\ \text{m}^3`

The volume of the pyramid is
`46.8\ \text{m}^3`