Question

A Pyramid has a square base with side s. The height of the pyramid is 2/3 that of its side. What is the expression for the volume of the pyramid?

Answer 1

Option D

Explanation:

`v=(2)/(9) s^(3)`

Answer 2

correct choice is option d
`v=2/9*s^3`

Explanation:

volume of pyramid is given by 1/3(Area of base* height)

Given base of pyramid is square with length of each side s

area of square is given by
`side^2`

Thus, area of base of pyramid =
`s^2`

Height of pyramid = 2/3 of side of base of pyramid = 2/3* s = 2s/3

Therefore volume of pyramid = 1/3(area of base of pyramid *Height of pyramid)

=
`1/3(s^2*2s/3)`

=
`2/9*s^3`

Thus, correct choice is option d
`v=2/9*s^3`