How will the surface area of a cube change if its edge is increased 5 times?

A cube is a regular rectangular parallelepiped, has six faces, each of which is a square.

The surface area of a cube is equal to the sum of the areas of all six of its faces.

Formula for the area (S) of a cube surface:

S = 6 * a ^ 2;

where a is the height of the edge of the cube.

The area of the cube after the rib length has been increased 5 times is equal to:

S2 = 6 * (5a) ^ 2 = 6 * 25a ^ 2;

To find how the surface area of a cube will change, we find the ratio of the area of the cube after increasing the edge to the original area of the cube;

S2 / S = 6 * 25a ^ 2/6 * a ^ 2 = 25 (times);

Answer: will increase 25 times.