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Three faces of a rectangular box have areas 6, 8, 12.  Find the volume of the box.

 Jun 14, 2020
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So let the width, height, and length be x, y, and z. We are trying to find the volume, which is xyz. 

xy = 6

xz = 8

yz = 12

Multiply all these equations together. 

\((xyz)^2 =12*8*6\)

Take the square root of both sides, which is our final answer.

\(xyz=24\)

 Jun 14, 2020

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