Question

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

V = 2s2

Answer 1

`(1)/(3) s^(3)`

Explanation:

Volume of a pyramid =
`(1)/(3) *base area * height`

Given: A pyramid has a square base with side s. The height of the pyramid is that of its side.

Base area is a square.

Area of the square = s*s =
`s^(2)`

Height = s (the height of the pyramid is that of its side)

Now plug in base area =
`s^(2)` and height = s in the volume formula.

The volume of the pyramid =
`(1)/(3) *s^2 *s`

The volume of the pyramid =
`(1)/(3) s^(3)`

Answer 2

The question is asking to state the expression for the volume of the pyramid base on the side of the pyramid, in my further research and calculation, I would say that the answer would be V= 1/2s^3. I hope you are satisfied with my answer and feel free to ask for more