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Work it backwards.

-- A cube has 6 faces.

-- The area of each face is (150 / 6).

-- The length of each side is sqrt(150/6).

-- The volume of the cube is (side)3 = (150/6)3/2 = 125 cubic units

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Q: How do you calculate the volume of a cube with a surface area of 150 square units?
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