Question 286889
Recall that the the volume of a cube is {{{V=s^3}}} where 's' is the side length. "If each edge of a cube is increased by 30%", then this means that the new side length is {{{s+0.3s=1.3s}}} (note: this is the same as saying that the new side is 130% of the old side length). Replace 's' with 1.3s to now get {{{V=(1.3s)^3=2.197s^3}}}


So the new volume is {{{2.197s^3}}} cubic units. Since the original volume is {{{s^3}}} cubic units, the factor 2.197 plays the role in the increase. Simply multiply this number by 100 to convert it to the percent 219.7%



So "If each edge of a cube is increased by 30%", then the volume increases by 219.7%