if the edge changes from x to nx, then
the volume changes from x^3 to (nx)^3, or n^3 * x^3
so, if n^3 * x^3 = 27*x^3, n^3 = 27, so n=3
Just remember:
If the linear dimension changes by a factor of n,
area grows by n^2
volume grows by n^3
By what factor should each edge of a cube be increased in order to increase its volume by a factor of 27?
a.) 27 b.) 9 c.) 3 d.) 2
1 answer