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Each face of the cube has 1/6 of the area = 78/6 = 13 in2 .

Each side of the face = square root of the area = sqrt(13) inches .

The volume of the cube is (side length)3 = [ sqrt(13) ]3 = 46.872 in3 (rounded)

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Q: What is the volume of a cube if the surface area is 78in?
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