The perimeter of a cube face is 32 cm. Find the surface area of the cube. Find the volume of the cube.

Find the length of the edge of the cube.
Let’s denote it by x.
According to the condition of the problem, the perimeter of the cube face is 32 cm.
Since the face of a cube is a square with a side equal to the edge of the cube, we can write the following equation:
4 * x = 32.
We solve the resulting equation and find the length of the edge of the cube:
x = 32/4;
x = 8 cm.
Find the area s of the cube face:
s = 8² cm² = 64 cm².
Find the area S of the surface of the cube.
Since the surface of a cube is made up of 6 cube faces, the surface area of ​​this cube is:
S = 6 * 64 = 384 cm².
We find the volume V of the cube by raising the length of the edge of the cube to the third power:
V = 8³ = 512 cm³.
Answer: the surface area of ​​the cube is 384 cm², the volume of the cube is 512 cm³.