Question

Сумма длин всех ребер равна 72 смНАЙДИТЕа)обьем кубаб)площадь поверхности кубаПомогите

Answer 1

72/12=6 длина ребра
v=6²=216
S=6*6*6-216 

Answer 2

а)Сумма длин всех ребер куба=72 см=12*а(где а-ребро, а 12-число ребер у куба)

Отсюда,а=6 см

б)Площадь поверхности куба=6*а во 2 степени=6*6*6=216 см в кубе

Answer 3

Calculation of the Volume and Surface Area of a Cube

To find the volume and surface area of a cube, we need to know the length of one of its edges. However, in this case, we are given the sum of the lengths of all the edges, which is 72 cm.

Let's denote the length of one edge of the cube as x. Since a cube has 12 edges of equal length, the sum of the lengths of all the edges can be expressed as:

12x = 72 cm.

To find the value of x, we can divide both sides of the equation by 12:

x = 72 cm / 12 = 6 cm.

Now that we know the length of one edge of the cube is 6 cm, we can proceed to calculate its volume and surface area.

Volume of the Cube

The volume of a cube is given by the formula:

Volume = (edge length)^3.

Substituting the value of the edge length, we have:

Volume = (6 cm)^3 = 6 cm * 6 cm * 6 cm = 216 cm^3.

Therefore, the volume of the cube is 216 cubic centimeters.

Surface Area of the Cube

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

Surface Area = 6 * (edge length)^2.

Substituting the value of the edge length, we have:

Surface Area = 6 * (6 cm)^2 = 6 * 36 cm^2 = 216 cm^2.

Therefore, the surface area of the cube is 216 square centimeters.

To summarize: - The volume of the cube is 216 cubic centimeters. - The surface area of the cube is 216 square centimeters.

I hope this helps! Let me know if you have any further questions.