
Ребро куба равна 12 см. Найдите объем и площадь куба Срочно помогите


Ответы на вопрос

12^3=1728см^3
Для того, чтобы найти площадь куба нужно найти площадь стороны куба.
12^2=144см^2
S куба=6 * 144=864см^2



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. In this case, the length of the cube's edge is given as 12 cm.
Volume of a Cube: The volume of a cube is calculated by cubing the length of one of its edges. Therefore, the volume (V) of the cube can be found using the formula:
V = (edge length)^3
Substituting the given edge length of 12 cm into the formula, we can calculate the volume of the cube:
V = (12 cm)^3
To find the volume, we need to calculate the cube of 12 cm.
Surface Area of a Cube: The surface area of a cube is calculated by multiplying the area of one of its faces by 6. Since all faces of a cube are identical, we can find the surface area (A) of the cube using the formula:
A = 6 * (edge length)^2
Substituting the given edge length of 12 cm into the formula, we can calculate the surface area of the cube:
A = 6 * (12 cm)^2
To find the surface area, we need to calculate the square of 12 cm and then multiply it by 6.
Calculation Results
Now, let's calculate the volume and surface area of the cube using the given edge length of 12 cm.
Volume of the Cube: V = (12 cm)^3 = 12 cm * 12 cm * 12 cm = 1728 cm³
Surface Area of the Cube: A = 6 * (12 cm)^2 = 6 * 144 cm² = 864 cm²
Therefore, the volume of the cube is 1728 cm³ and the surface area of the cube is 864 cm².
I hope this helps! Let me know if you have any further questions.


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