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?

Question

A. There is not enough information to answer the question
B. V is greater than 280 cubic inches
C. V is less than 280 cubic inches
D. V equals 280 cubic inches

Answer 1

C. V is less than 280 cubic inches

Since the cylinder is inscribed inside the prism, its volume will be less than the volume of the prism. The volume of the prism is equal to the base area times the height, which is 20 square inches times 14 inches, equal to 280 cubic inches. Therefore, the volume of the cylinder will be less than 280 cubic inches.