The sum of the areas of the two sides of the cube is 50 cm2. find the sum of the lengths of all edges of the cube.

Consider a cube as a geometric figure. A cube has 6 faces, 8 vertices, and 12 edges.

All the faces of the cube are equal to each other. Also, all the edges of the cube are equal to each other.

Thus, if the area of two faces is 50 square centimeters, we find the area of one face:

50/2 = 25 (cm²);

We find the length of the side of the face, since the face of the cube is a square:

Square root of 25 (cm²) = 5 (cm);

Since a cube has 12 edges of the same length, the sum of the lengths of all edges will be:

5 (cm) * 12 = 60 (cm).