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the sum of the lengths of all the edges of a cube is 60 cm. find the number of cubic centimeters in the volume of the cube.

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Answer:

The volume of the cube is 216 cm^3

Explanation:

A cube has all sides the same length, which we'll say is x. I will make the assumption that "all edges" means all edges, which would be for 2 faces (4 sides each) and the 4 vertical sides, for a total of 10 edges for the cube.

We can write:

(10 edges)*x = 60 cm

Thus: x = 6 cm/edge

The volume of a cube is x^3, so the volume of this cube is (6 cm)^3 or 216 cm^3

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