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

The total volume of clay Dominic has is the volume of the block; length⋅width⋅height.  That's 24.5 ⋅ 12.5 ⋅ 8 = 2450 inches cubed.

We'll divide the total volume of clay Dominic has by the required clay per vase to find how many vases he can make: 2450 ÷ 50 = 49 vases.

Dominic can make a maximum of 49 vases.

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