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07-05-2020
Mathematics

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A crate has the shape of a rectangular prism. The area of the base of the crate is 252 square inches. The length of the crate is 4 inches greater than the width. The height is 2 inches less than the width.
What is the volume of the crate in cubic inches?

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07-05-2020

Answer:

3024 in^3

Step-by-step explanation:

let width=x

length=x+4

height=x-2

A=W×L

252=(x)(x+4)

252=x^2 +4x

0=x^2 +4x -252

use quadratic formula

x=14

W=14

L=18

H=12

V=W×L×H

V=(14)(18)(12)

V=3024 in^3

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