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Question

If the volume of a 2-cm-by-2cm-by-2cm cube is increased by 19 cubic centimeters to form a larger cube, what is the length in centimeters of one edge of the new cube?

Accepted Answer

The volume of the 2-cm cube is 2^3=8 cubic centimeters. The volume of the larger cube is 8+19=27, so the length of one edge is [3]27=3 cm.