Question

A certain rectangular prism has a length that is 8 inches more than the width and a height that is 1 inch less than the length. The largest possible width for this rectangular prism is 20 inches. The volume of a rectangular prism is V=lwh..

Answer 1

The largest possible volume of the rectangular prism is 15120 inches³

Volume of a rectangular prism

• v = lwh

where

l = length

w = width

h = height

Therefore,

Largest possible width = 20 inches

length = 8 = 20 = 28 inches

height = 28 - 1 = 27 inches

Therefore,

v = lwh

v = 28 × 20 × 27

v = 15120 inches³

The largest possible volume is 15120 inches³

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