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This might be a long answer, but let's try.

Suppose the width, height, and length of the box are l, w, and h.

The area of one face is l*w.

The area of the second face is w*h.

The area of the third face is l*h.

Multiply these three equations together. Whatever the product is will be equal to l2w2h2.

Take the square root of this product to get lwh, the volume of the box.

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Q: How do you find the dimensions of a box when given the area of each face?
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