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The dimensions of a cuboid cannot be determined from its volume. You could, for example, double the length and halve the width: that would leave the volume unchanged but the dimensions will be different.
Any one dimension increased by 3, or any two dimensions increased by the square root of 3 or all three dimensions increased by the cube root of 3.
Just knowing the volume in centimeters cubed of a rectangular prism would not allow you to find the dimensions.
the most typical dimensions would be 2cm x 3cm X 3cm
As long as the cubes are 1x1x1 then any box with an equivalent volume would hold the same number of cubes. The volume of the 3x4x10 box is 120. So a box with the dimensions 1x1x120 would work just as well as a box with the dimensions 12x10x1 or 2x5x12.