Question

Вычислите сумму площадей всех граней куба,если сумма длин всех его рёбер равна 144 см.Математика-5 класс.

Answer 1

Так как у куба 12 рёбер, поэтому длина 1 ребра равна 144/12=12. Чтобы найти сумму площадей всех граней куба надо 12*12*6=864

Answer 2

Calculating the Sum of the Areas of All Faces of a Cube

To calculate the sum of the areas of all faces of a cube, we can use the fact that the sum of the lengths of all its edges is given as 144 cm.

Let's denote the length of each edge of the cube as a. The cube has 12 edges, and the sum of their lengths is given as 144 cm. Therefore, we can express this as:

12a = 144

Solving for a: a = 144 / 12 = 12 cm

Now that we know the length of each edge, we can calculate the area of each face of the cube and then sum them up.

The area of each face of the cube is given by a^2. Therefore, the sum of the areas of all faces of the cube is:

6a^2 = 6 * (12 cm)^2 = 6 * 144 cm^2 = 864 cm^2

So, the sum of the areas of all faces of the cube is 864 square centimeters.

Conclusion

The sum of the areas of all faces of the cube is 864 square centimeters.