Question

Чему равен объём куба площадь каждой грани которого в 4 раза меньше площади квадрата на рисунке Дениса.У Дениса площадь 16 см2.

Answer 1

1) Площадь одной грани равна 16/4 =4 см2
2) длина грани равна такому числу, которое при умножении само на себя дает 4
 это число 2
3) объем куба = 2 x 2 x2 =8см3

Answer 2

Calculation of the Cube's Volume and Surface Area

To find the volume and surface area of a cube, we need to know the length of one side of the cube. In this case, the area of the square on Denis's drawing is given as 16 cm². Let's calculate the length of one side of the square first.

The formula for the area of a square is:

Area of a square = side length × side length

Given that the area of the square is 16 cm², we can solve for the side length:

16 = side length × side length

Taking the square root of both sides, we get:

side length = √16 = 4 cm

Now that we know the side length of the square, we can calculate the volume and surface area of the cube.

Volume of the Cube

The volume of a cube is given by the formula:

Volume = side length × side length × side length

Substituting the side length of the square (4 cm) into the formula, we get:

Volume = 4 cm × 4 cm × 4 cm = 64 cm³

Therefore, the volume of the cube is 64 cm³.

Surface Area of the Cube

The surface area of a cube is given by the formula:

Surface Area = 6 × side length × side length

Substituting the side length of the square (4 cm) into the formula, we get:

Surface Area = 6 × 4 cm × 4 cm = 96 cm²

Therefore, the surface area of the cube is 96 cm².

To summarize: - The volume of the cube is 64 cm³. - The surface area of the cube is 96 cm².

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