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Q: How is cube root 1728 equals 12?

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the cube root of 1728 is 12

The Answer Is 12 12 x 12 x 12 = 1728 12 x 12 = 144 144 x 12 = 1728

The volume of a cube is found by cubing the length of an edge. To find the measure of an edge of a cube of a known volume, simply find the cube root of the volume. In this case, the cube root of 1728 is 12. It's actually plus or minus 12, but we drop the minus 12 because shapes can have negative dimensions. Given a cube of known volume, the length of an edge can be found by finding the cube root of the cube's volume.

It is 12 because 12*12*12 = 1728

Out of the factor pairs of 1728, only 144 and 12 have a square/square root relationship. 12 has to be the cube root of 1728. (1728,1)(864,2)(576,3)(432,4)(288,6)(216,8)(192,9)(144,12)(108,16)(96,18)(72,24)(64,27)(54,32)(48,36)

Volume of cube: 12*12*12 = 1728 cubic inches

The volume would be 12 inches cubed or 12*12*12 inches which equals 1728 inches.

It is: 12*12*12 = 1728

1728 cubic inches

1728

A cubic foot measures 12" x 12" x 12", so it contains 1728 cubic inches. Therefore, half a cubic foot is 1728/2, or 864 cubic inches. But the implication of the original question is PROBABLY meant to be -- what are the dimensions of a cube if its volume is one-half of a cubic foot? The exact answer, expressed in inches, is: (the cube root of 864) x (the cube root of 864) x (the cube root of 864); or, for practical purposes, just a little larger than 9.5" x 9.5" x 9.5".

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