Question

A square prism has a height of 14 inches and a base with an area of 20 square inches. A cylinder is inscribed inside the prism. Which statement about the volume of the cylinder, V , is true?

Answer 1

Answer:

The volume would be less than that of the prism, which is 280 cubic inches.

Step-by-step explanation:

The formula for the volume of a square prism is V = L*w*h.  The base of a square prism is a square, which makes the formula for area A = L*w.  Thus we can also find the volume by multiplying the base area by the height:

V = 20(14) = 280 cubic inches

Since the cylinder is inscribed inside of the prism, this means its volume must be less.  If it were equal to or greater than that of the prism, the cylinder would not fit inside the prism.

Answer 2

The true statement of the cylinder is the height.