Question

Сума довжин усих ребер куба доривнюэ 120 см знайдить площу його грани

Answer 1

У куба 12 рёбер.
Длина одного равна 120/12 = 10 см.
Площадь грани куба (а это квадрат) равна 10*10 = 100 см².

Answer 2

Calculation of the Total Length of the Cube's Edges

To find the total length of all the edges of a cube, we need to know the length of one edge. Let's assume the length of one edge of the cube is x.

The cube has 12 edges in total, and each edge has the same length. Therefore, the total length of all the edges can be calculated by multiplying the length of one edge by the number of edges.

Mathematically, the formula to calculate the total length of the edges of a cube is:

Total Length of Edges = Number of Edges * Length of One Edge

In this case, we are given that the total length of all the edges of the cube is 120 cm. Therefore, we can set up the equation as follows:

120 = 12 * x

To find the length of one edge, we can solve this equation for x:

x = 120 / 12

Simplifying the equation, we get:

x = 10 cm

So, the length of one edge of the cube is 10 cm.

Calculation of the Surface Area of the Cube

The surface area of a cube can be calculated by multiplying the length of one edge by itself and then multiplying the result by 6 (since a cube has 6 equal faces).

Mathematically, the formula to calculate the surface area of a cube is:

Surface Area = 6 * (Length of One Edge)^2

Using the length of one edge we found earlier (10 cm), we can calculate the surface area of the cube:

Surface Area = 6 * (10 cm)^2

Simplifying the equation, we get:

Surface Area = 6 * 100 cm^2

Surface Area = 600 cm^2

Therefore, the surface area of the cube is 600 square centimeters.

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