Question

A square prism has a height of 10 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? V is less than 200 cubic inches. V equals 200 cubic inches. V is greater than 200 cubic inches. There is not enough information to answer the question.

Answer 1

we know that

[volume of a square prism]=[area of the base]*h-----> 20 x 10-----> 200 in³

if a cylinder is inscribed inside the prism

then

the volume of the cylinder is V < 200 in³

therefore

the answer is the option

V is less than 200 cubic inches