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jmc

geometry intermediate

Problem

A two-inch cube () of silver weighs 3 pounds and is worth \200$. How much is a three-inch cube of silver worth? Round your answer to the nearest dollar.
Solution
The volume of a two-inch cube is cu inches, while that of a three-inch cube is 27 cu inches. Therefore, the weight and value of the larger cube is times that of the smaller. \200(\frac{27}{8})=\boxed{\675}.
Final answer
\$675