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Dominic has a block of clay that is 24.5 inches long, 12.5 inches wide, and 8 inches tall. Dominic will use the clay to make vases. If each vase requires 50 in3 of clay, what is the greatest number of vases Dominic can make?

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Answer: 49

Explanation:

Given

The dimension of the block is
24.5\ in.*12.5\ in.* 8\ in.

Each vase requires
50\ in.^3 of clay

The volume of clay block is


\Rightarrow V=24.5* 12.5* 8\\\Rightarrow V=2450\ in.^3

Number of vases that can be made


\Rightarrow n=(2450)/(50)\\\\\Rightarrow n=49\ \text{Vases}

Thus, 49 vases can be made

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