Math CentralQuandaries & Queries


Question from Bethany, a parent:

If I am filling a hole in the shape of a cube with 64 cubic yards of dirt, how many feet deep will my hole be.

Hi Bethany.

A cube has the same measurements for length, width and depth. Its volume is the product of these three. So the volume is 64 cubic feet.

That means the answer to your question is the number that when multiplied by itself twice will give 64.

For example, 2 x 2 x 2 = 8 cubic yards for a hole like yours that is 2 yards deep.

So what x what x what = 64 cubic yards?

You can also use the "cube root" function on your calculator. The cube root of 64 is your answer.

Stephen La Rocque.>

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