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Here's good news: It can't be done, and you can stop worrying about it.

The volume doesn't tell you the dimensions. There are an infinite number of

different-shape boxes with different dimensions that all have the same volume.

Here are a few. All of these have volume of 70:

Length x width x height . . .

1 x 2 x 35

1 x 35 x 2

1 x 5 x 14

1 x 14 x 5

1 x 7 x 10

1 x 10 x 7

2 x 31/2 x 10

2 x 5 x 7

2 x 7 x 5

2 x 21/2 x 14

21/2 x 31/2 x 8

4 x 5 x 31/2

.

.

etc.

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Q: How do you find the dimensions of box when volume is 70?
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