Question

A pyramid has a square base with sides of length s. The height of the pyramid is equal to of the length of a side on the base. Which formularepresents the volume of the pyramid?OA. V = ¹8³OB. V=¹8³OC. V=8³OD. V=35³OE V=65³

Answer 1

Given,

The measure of the length of the side of square is s.

The height of the pyramid is 1/2 of the length of the side.

Required

The volume of the square pyramid.

The formula for the volume of the square pyramid is,

`Volume\text{ =}(side* side* height)/(3)`

Substituting the values then,

`\begin{gathered} Volume\text{ =}(s* s* s)/(3*2) \\ =(s^3)/(6) \end{gathered}`

Hence, the volume of the pyramid is s^3/6.