Question

Можно ли поверхность куба с ребром 2 см целиком оклеить 12 бумажными квадратами, каждый из которых имеет площадь 2 квадратных сантиметра ?

Answer 1

Площадь поверхности S=6*2^2=24

Площадь бумажных квадратов S=2*12=24

Ответ: да

Answer 2

Can the surface of a cube with a 2 cm edge be completely covered with 12 paper squares, each with an area of 2 square centimeters?

To determine if the surface of a cube with a 2 cm edge can be completely covered with 12 paper squares, each with an area of 2 square centimeters, we need to calculate the total surface area of the cube and compare it to the total area of the 12 paper squares.

The surface area of a cube can be calculated by multiplying the length of one side by itself and then multiplying the result by 6, since a cube has 6 equal sides. In this case, the length of one side is 2 cm, so the surface area of the cube is:

Surface Area of Cube = (2 cm) * (2 cm) * 6 = 24 square centimeters

Now, let's calculate the total area of the 12 paper squares. Each square has an area of 2 square centimeters, so the total area of the 12 squares is:

Total Area of 12 Paper Squares = 12 * 2 square centimeters = 24 square centimeters

Comparing the surface area of the cube (24 square centimeters) to the total area of the 12 paper squares (24 square centimeters), we can see that they are equal. Therefore, it is possible to completely cover the surface of the cube with the given 12 paper squares, each with an area of 2 square centimeters.

Note: The calculations above assume that the paper squares can be perfectly arranged and fitted onto the surface of the cube without any overlap or gaps.