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

V = (2/9) s³

Step-by-step 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