A solid right pyramid has a square base with an edge length of s units and a height of h units. Which expression represents the volume of the pyramid? s2h units3 s2h units3 s2h units3 3s2h units3

Respuesta :

The correct answer is not listed; it is:
V=
[tex] \frac{1}{3} s^2h[/tex] units³.

Explanation:
The volume of a right prism is given by:
the area of the base * the height.

However, this is a pyramid; since it comes to a point, the volume is:
[tex] \frac{1}{3} [/tex] * the area of the base * the height.

Since the base is a square, the area is s*s=s
². The height is h.
This gives us:
V=
[tex] \frac{1}{3} s^2h[/tex] units³.

Answer:

V= \frac{1}{3} s^2h units³.

Step-by-step explanation: