Question

В кубе с ребром 3 сантиметра проделали 3 сквозных квадратных отверстия со стороной 1 сантиметр Найдите объем оставшейся части

Answer 1

Объем куба формула V = a³     V = 3³ = 27 cм³

Обем вырезанного параллепипеда (формула)   V = S L     
Площадь квадратика со стороной 1 см будет равной 1 см²  Так как отверстия сквозные, то длина L параллепипеда 3 см. Отсюда объем вырезанной фигуры будет V = 1 × 3 = 3 cм³

Таких фигурок в кубе вырезали 3 штуки, значит в сумме их объем составит 3 × 3 = 9 см³   Объем оставшейся части куба V = 27 - 9 = 18 cм³

Answer 2

Calculation of the Remaining Volume in a Cube

To find the volume of the remaining part of a cube after three square holes with a side length of 1 centimeter have been made, we need to subtract the volume of the holes from the total volume of the cube.

The volume of a cube is calculated by cubing the length of its side. In this case, the side length of the cube is 3 centimeters, so the total volume of the cube is:

Volume of the cube = (side length)^3 = 3^3 = 27 cubic centimeters.

Now, let's calculate the volume of the three square holes. Each hole has a side length of 1 centimeter, so the volume of one hole is:

Volume of one hole = (side length)^3 = 1^3 = 1 cubic centimeter.

Since there are three holes, the total volume of the holes is:

Total volume of the holes = 3 * (volume of one hole) = 3 cubic centimeters.

To find the volume of the remaining part of the cube, we subtract the total volume of the holes from the total volume of the cube:

Volume of the remaining part = Volume of the cube - Total volume of the holes = 27 - 3 = 24 cubic centimeters.

Therefore, the volume of the remaining part of the cube is 24 cubic centimeters.

Please note that the sources provided did not contain specific information about this particular calculation. The calculation is based on the general formula for finding the volume of a cube and the given dimensions of the cube and the holes.