The volume of a cube is #729# #cm^3#. What is the side length of the cube?

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Answer 1 · 2017-03-10T07:54:20

The length of the side of the cube is #9cm#.

The formula for volume of a cube is:

#V=a^3#, where #V=#volume, and #a=#length of any side, all sides being equal in a cube.

With the given data, we write:

#729=a^3#

To determine the cube root of #729#, we separate the factors.

#3*3*3*3*3*3=a^3#

#(3*3)^3=a^3#

#3*3=a#

#:.a=9#