The sum of the lengths of all edges of a cube is 45.6 cm. Find the area of one of its faces.

First, we find the length of the edge of the cube. To do this, we need to divide the sum of the lengths of all edges by the number of edges that the cube has 12.

45.6 / 12 = 3.8 cm.

Since the faces of a cube are squares, to find the area of a square, you need to raise the length of the side to the second power.

S = 3.82 = 14.44 cm2.

Answer: the area of a cube face is 14.44 cm2.