Question

A pyramid has a square bade 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

V = (2/9)s³

Explanation:

The general formula for the volume of a pyramid is:

V = (1/3)(base area)(height).

Here, the length of a side of the square base is s, and so the area is A = s². For the height we use (2/3)s. Then the volume of the pyramid is:

V = (1/3)(s²)(2/3)s, or V = (2/9)s³