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Question

A solid box is 15 cm by 10 cm by 8 cm. A new solid is formed by removing a cube 3 cm on a side from each corner of this box. What percent of the original volume is removed?

Accepted Answer

The total volume of the eight removed cubes is 8 3^3=216 cubic centimeters, and the volume of the original box is 15 10 8 = 1200 cubic centimeters. Therefore the volume has been reduced by (2161200)(100%) = 18%.