Question

Масса деревянного кубика с ребром 10 см равна 800 г . Его распилили на кубики с ребром 2 см. Сколько кубиков с ребром 2 см получилось? Какова масса одного кубика с ребром 2 см.

Answer 1

10/2=5 кубиков на 1 ребре

объем получившихся кубиков = 5^3=125 кубиков

800/125=6,4 г масса 1 кубика

Answer 2

Calculation of the Number of Cubes

To calculate the number of cubes with an edge length of 2 cm that can be obtained from a wooden cube with an edge length of 10 cm, we need to determine the volume of the larger cube and divide it by the volume of the smaller cube.

The volume of a cube can be calculated using the formula: volume = edge length^3.

The volume of the larger cube with an edge length of 10 cm is: volume_large_cube = (10 cm)^3 = 1000 cm^3.

The volume of the smaller cube with an edge length of 2 cm is: volume_small_cube = (2 cm)^3 = 8 cm^3.

To find the number of smaller cubes that can be obtained, we divide the volume of the larger cube by the volume of the smaller cube: number_of_small_cubes = volume_large_cube / volume_small_cube.

Substituting the values, we get: number_of_small_cubes = 1000 cm^3 / 8 cm^3 = 125.

Therefore, 125 cubes with an edge length of 2 cm can be obtained from the wooden cube with an edge length of 10 cm.

Calculation of the Mass of One Cube

To calculate the mass of one cube with an edge length of 2 cm, we need to determine the mass of the larger cube and divide it by the number of smaller cubes.

Given that the mass of the larger cube with an edge length of 10 cm is 800 g, we can calculate the mass of one smaller cube using the formula: mass_of_one_small_cube = mass_of_large_cube / number_of_small_cubes.

Substituting the values, we get: mass_of_one_small_cube = 800 g / 125 = 6.4 g.

Therefore, the mass of one cube with an edge length of 2 cm is 6.4 g.

Please note that the calculations provided above are based on the assumption that the density of the wooden cube remains constant throughout.