Question

Ребро куба равно 4 см. Найдите площадь его боковой поверхности( сумму площадей всех боковых граней

Answer 1

S бок. куба  =  4а^2,  где  а  ---  ребро  куба.
S бок. куба  =  4 * 4^2  =  4 * 16  =  64 (см^3) 

Answer 2

Calculating the Surface Area of a Cube

To find the surface area of the cube, we can use the formula: surface area = 6 * (side length)^2.

Given that the length of each side of the cube is 4 cm, we can calculate the surface area as follows:

Surface Area = 6 * (4 cm)^2 Surface Area = 6 * 16 cm^2 Surface Area = 96 cm^2

So, the surface area of the cube is 96 square centimeters.

Sum of the Areas of All the Lateral Faces

The sum of the areas of all the lateral faces of the cube can be calculated by adding the areas of all the lateral faces.

Using the formula for the lateral surface area of a cube, which is 4 * (side length)^2, we can calculate the sum of the areas of all the lateral faces as follows:

1) 4 * (4 cm)^2 = 4 * 16 cm^2 = 64 cm^2 2) 4 * (4 cm)^2 = 4 * 16 cm^2 = 64 cm^2 3) 4 * (4 cm)^2 = 4 * 16 cm^2 = 64 cm^2 4) 4 * (4 cm)^2 = 4 * 16 cm^2 = 64 cm^2

Sum of the areas of all the lateral faces = 64 cm^2 + 64 cm^2 + 64 cm^2 + 64 cm^2 = 256 cm^2

Therefore, the sum of the areas of all the lateral faces of the cube is 256 square centimeters.

I hope this helps! If you have any more questions, feel free to ask.