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

For plato users is OPTION D

Explanation:

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

Answer 2

`\large\boxed{V=(2)/(9)s^3}`

Explanation:

`\text{The formula of a volume of a pyramid:}\\\\V=(1)/(3)BH\\\\B-base\ area\\H-height\\\\\text{The base of the pyramid os athe square with side length}\ s.\\\text{Therefore the base area}\ B=s^2.\\\\\text{The height of the pyramid is}\ (2)/(3)\ \text{that of it's side:}\ H=(2)/(3)s.\\\\\text{Substitute:}\\\\V=(1)/(3)(s^2)\left((2)/(3)s\right)=(2)/(9)s^3`