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?
CLEAR CHECK
There is not enough information to answer the question.
V
is greater than 280
cubic inches.
V
is less than 280
cubic inches.
V
equals 280
cubic inches.
V is greater than 280 cubic inches.
Since the base of the prism has an area of 20 square inches, the side length of the base is √20 = 4.47 inches. The volume of the prism is the base area multiplied by the height, so V = 20 x 14 = 280 cubic inches. Since the cylinder is inscribed inside the prism, the volume of the cylinder must be less than 280 cubic inches, making the statement V is greater than 280 cubic inches false.