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29 August, 10:59

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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  1. 29 August, 11:25
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    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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