Question

The total surface area of a rectangular solid is the sum of the areas of the six faces. If each dimension of a given rectangular solid is doubled, what effect does this have on the total surface area?

Answer 1

if the dimensions are scaled by a factor of f, then the area grows by a factor of f^2

This is easy to see, since
area = length * width
if each is doubled, then the
newarea = (2*length)*(2*width) = 2^2 * (length*width) = 2^2 * area

Answer 2

unknown

Answer 3

Thanks much!