SOLUTION: How many solid wood cubes, each of total surface area of 96 sq cm can be cut from a solid cube with a total surface area of 2400 sq cm if no wood is lost in the cutting?

Question 1036222: How many solid wood cubes, each of total surface area of 96 sq cm can be cut from a solid cube with a total surface area of 2400 sq cm if no wood is lost in the cutting?
Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
A cube with surface area of 96 sq cm has a side length of 4 cm (since 4^2 * 6 = 96), and a volume of 64 cm^3.

The given solid cube has a side length of 20 cm (20^2 * 6 = 2400), and a volume of 8000 cm^3.

8000 cm^3 / 64 cm^3 = 125, so 125 cubes can be formed.

Alternatively, you may do 20/4 = 5, then cube the result.
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