Question

A square prism has a height of 12 inches and a base with an area of 30 square inches. A cylinder is inscribed inside the prism. Which statement about the volume of the cylinder, V, is true?

a) V equals 360 cubic inches
b) V is less than 36 cubic inches
c) V is greater than 360 cubic inches
d) There's not enough information.

Answer 1

we know that

[volume of a square prism]=[area of the base]*h-----> 30*12-----> 360 in³

if a cylinder is inscribed inside the prism
then
the volume of the cylinder is V < 360 in³
therefore

the answer is
the option V is less than 360 cubic inches