The volume of the cube is 125m3, you need to find the sum of the lengths of all edges and the sum of the areas of all faces.

A cube is a regular polyhedron, each face of which is represented by a square, and the edges are equal.

Its volume is calculated by the formula:

V = a³.

Provided that this value is 125 m³, first of all we find the length of the edge of such a figure:

a = ³√125 = 5 m.

Since it has 12 edges, the sum of their lengths is:

L = 12 * a = 12 * 5 = 60 m.

There are 6 faces, hence the area of the entire surface:

S = 6 * a² = 6 * 5² = 6 * 25 = 150 m².