When the dimension of the solid increase by a factor of k does the surface area change?

Answer 1

Suppose you have a cube that is 1 by 1 by 1. Find its surface area.

Now let's multiply all the edges by 3 (which is like the k in your question).

The new cube would be 3 by 3 by 3. Will the surface area also multiply by 3? Figure out the surface area and figure out what number it multiplied by compared to the surface area of the 1 by 1 by 1.