Question

A cylinder has a radius of 14 inches and a height of 10 inches. A rectangular prism has

square bases with side lengths of 8 inches. The two figures have the same surface
area. What is the approximate height of the rectangular prism?

Answer 1

61.973

Explanation:

let the unknow side be x

surf of prism = 2*(8*8+8x+8x) = 2*(64+16x) = 128+ 32x

again, surface of cylinder = 2pi*r*(r+h) = 2 * pi * 14 * (14+10) = 672pi

now solve for x, when

128+32x = 672pi