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Printjmc
geometry intermediate
Problem
A whole block of modeling clay is a right rectangular prism six inches by two inches by one inch. How many whole blocks need to be unwrapped to mold a cylindrical sculpture seven inches high and four inches in diameter?
Solution
The cylindrical sculpture has radius two inches and uses cubic inches of modeling clay. Each block contains cubic inches of modeling clay. If we have 7 blocks, then we have 84 cubic inches of clay which is not enough, so we need blocks of clay, and we see 96 cubic inches are indeed enough.
Final answer
8