The surface of a cube with an edge of 9 cm was painted with paint weighing 117 g.

The surface of a cube with an edge of 9 cm was painted with paint weighing 117 g. How many grams of paint would be required to paint the surface of a cube with an edge of 3 cm?

The area of one face of a cube with an edge of 9 cm will be S = 9 * 9 = 81 cm2.
The cube has 6 faces, which means that the surface area of the cube will be 81 * 6 = 486 cm2.
117 g of paint were spent on painting the cube, therefore 117: 486 = 0.24 g of paint is consumed per 1 cm2.
Find the surface area of a 3cm cube. S = 3 * 3 * 6 = 54 cm2.
Thus, to paint a cube with a 3 cm edge, you will need 0.24 * 54 = 12.96 g of paint.
Answer: 12.96 g of paint.



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