Question

Фигурка большого куба собрана из 8 одинаковых малых кубов. Найди длину ребра малого куба, если объем большого равен 216 см. А. 2см В. 3 см С. 9 см 20 СРОЧНО!!​

Answer 1

Ответ:

В . 3 сантиметра

Пошаговое объяснение:

³√216=6

6÷2=3

Answer 2

Calculating the Length of the Small Cube's Edge

To find the length of the edge of the small cube, we can use the formula for the volume of a cube, which is given by:

Volume = (Edge Length)^3

Given that the volume of the large cube is 216 cm³ and it is made up of 8 identical small cubes, we can calculate the length of the edge of the small cube.

Let's proceed with the calculation:

Step 1: Calculate the volume of the small cube. Step 2: Use the volume of the large cube to find the length of the edge of the small cube.

Calculation

Step 1: Calculate the volume of the small cube. The volume of the large cube is 216 cm³, and it is made up of 8 identical small cubes. Therefore, the volume of each small cube is: \[ \frac{216 \, \text{cm}^3}{8} = 27 \, \text{cm}^3 \]

Step 2: Use the volume of the small cube to find the length of the edge. We can use the formula for the volume of a cube to find the length of the edge of the small cube: \[ \text{Volume} = \text{Edge Length}^3 \] \[ 27 \, \text{cm}^3 = \text{Edge Length}^3 \]

Taking the cube root of both sides gives us: \[ \sqrt[3]{27 \, \text{cm}^3} = \text{Edge Length} \] \[ 3 \, \text{cm} = \text{Edge Length} \]

Conclusion

The length of the edge of the small cube is 3 cm (Option B).