The sum of the lengths of all the edges of the cube is 45.6 cm. Find the area of one face.

1. From the data presented in the problem statement, we know that the sum of the lengths of all the edges of the cube is 45.6 cm, so we can determine what is the length of one edge of the cube. To do this, the sum of the lengths of all edges must be divided by the number of edges, and there are 8 of them in a cube, we get:

45.6 / 8 = 5.7 cm.

2. Now let’s calculate what is the area of one face of this cube. To do this, find the product of the two sides of the face, we get:

5.7 * 5.7 = 32.49 cm ^ 2.

Answer: The area of one face in a given cube is 32.49 cm ^ 2.