A cube with an edge of 1 dm was cut into small cubes with an edge of 1 cm and all their faces were painted with paint.

A cube with an edge of 1 dm was cut into small cubes with an edge of 1 cm and all their faces were painted with paint. It takes 0.02 g paint to paint one face of a small cube, how much paint is required to paint all the cube?

By hypothesis, we are given that a cube with an edge of 1 dm. cut into small cubes with an edge of 1 cm. And all the faces of all the resulting small cubes were painted with paint. At the same time, for painting one face of a small cube, 0.02 grams of paint is required. We need to find how much paint is needed to paint all the faces of all the cubes.

First, let’s find how many small cubes have turned out.

1 decimeter = 10 cm.

10 * 10 * 10 = 1000 (cm3) volume of a large cube.

1 * 1 * 1 = 1 (cm3) volume of a small cube.

1000: 1 = 1000 (cubes) in total it turned out to be small cubes.

As you know, any cube has 6 faces.

1000 * 6 = 6000 (faces) in total faces for all small cubes.

6000 * 0.02 = 120 (grams) of paint will be needed to paint all the edges.

Answer: 120 grams of paint.