Question

Решите задачу:Из кубиков с ребром 1 сантиметр сложен куб с ребром 8 сантиметров.Затем сняли кубики,образующие 3 грани,имеющие общую вершину.Сколько всего сняли кубиков?Помогите пожалуйста побыстрее надо срочно

Answer 1

Первым сняли слой кубиков 8 на 8 вторым 8 на 7 и третьим 7 на 7
64+56+49=169

Answer 2

Problem Analysis

We are given a cube with a side length of 1 centimeter, and we need to determine the number of cubes that can be formed by removing the cubes that make up three faces of a larger cube with a side length of 8 centimeters.

Solution

To solve this problem, we need to calculate the volume of the larger cube and divide it by the volume of the smaller cube.

The volume of a cube is calculated by raising the length of one side to the power of 3. Therefore, the volume of the larger cube is 8^3 = 512 cubic centimeters.

The volume of the smaller cube is 1^3 = 1 cubic centimeter.

To find the number of smaller cubes that can be formed, we divide the volume of the larger cube by the volume of the smaller cube:

512 cubic centimeters / 1 cubic centimeter = 512 cubes.

Therefore, a total of 512 cubes can be formed by removing the cubes that make up three faces of the larger cube.

Answer

The total number of cubes that can be formed by removing the cubes that make up three faces of the larger cube is 512.