The length of the edge of the cube is 1 cm 2 mm. Calculate the area of one face of the cube.

The length of the edge of the cube is 1 cm 2 mm. Calculate the area of one face of the cube. Calculate the total area of all the faces of the cube.

Given:
Cube;
a = 1 cm. 2 mm .;
S1 =?
S total =?
Solution:
A rectangular parallelepiped, all of whose faces are squares, is called a cube.
Therefore, the area of one face of a cube is equal to the area of a square with a side length equal to the length of the cube edge.
S1 = a²;
1 cm. 2 mm. = 1.2 cm.;
S1 = 1.2² = 1.44 (cm²);
A cube has six faces, then the total area of all cube faces is:
S total = S1 * 6 = 1.44 * 6 = 8.64 (cm²);
Answer: one facet – 1.44 cm²; all sides – 8.64 cm²