The volume of the larger prism is 64 times the volume of the smaller prism.
Let L be the sides of the smaller prism and L' be the sides of the larger prism. Since the sides of the larger prism are 4 times the sides of the smaller prism, we have that L'/L = 4.
Let V be the volume of the smaller prism and V' be the volume of the larger prism.
We know that V'/V = (L'/L)³
= 4³
= 64
So, the volume of the larger prism is 64 times the volume of the smaller prism.
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