You can't. The possibilities are infinite.
could be
2 x 12 x 10
3 x 8 x 10
2 x 15 x 8
These are just some of the whole numbers. If you use fractions, it goes on literally for ever.
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take the cubed root if you want the box to be a cuboid. answer = each side and height of box are 60
That depends on the dimensions of the shoe box, now doesn't it? It's the product of the three dimensions.
No box can have a volume of 81 ft because volume cannot be measured in feet.A box with a volume of 81 CUBIC feet could be 1 ft * 1.5 ft * 54 feet.
Length x Width x Height is the formula to find the volume of a juice box.
There is not an instrument designed to measure the volume of a rectangular box. You would use a ruler or tape measure or similar to measure its linear dimensions and a brain to multiply them together.