Question

Сумма длин всех рёбер куба =51,6 см. Найдите площадь поверхности куба. Ответ округлите до целых.

Answer 1

6*(51,6\12)^2=110,94см кв

Answer 2

У куба 12 ребер.
Длина отдельного ребра:
51,6 / 12 = 4,3 см

Площадь поверхности куба:
6 * 4,3 * 4,3 = 110,94 = 111 см2

Ответ: 111 см2

Answer 3

Calculation of the Surface Area of a Cube

To find the surface area of a cube, we need to know the length of one of its edges. In this case, we are given that the sum of the lengths of all the edges of the cube is 51.6 cm.

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

12x = 51.6 cm.

To find the length of one edge, we can divide both sides of the equation by 12:

x = 51.6 cm / 12.

Now, we can calculate the length of one edge:

x = 4.3 cm.

The surface area of a cube is given by the formula: 6x^2, where x is the length of one edge. Plugging in the value we found for x, we can calculate the surface area:

Surface Area = 6(4.3 cm)^2.

Calculating this expression, we find:

Surface Area ≈ 104.04 cm^2.

Therefore, the approximate surface area of the cube is 104 cm^2 when rounded to the nearest whole number.