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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?

Respuesta :

Answer:

61.973

Step-by-step 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

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