What will happen to the volume of the cube, if its edge is (a) tripled (b) reduced to one-fourth ?
Volume of cube ∝ (edge)3
Case 1: If edge is tripled.
VoldVnew=(edgeold)3(3 edgeold)3
Vnew=27 Vold
Volume will increase by 27 times.
Case 2: If edge is reduced to one-fourth.
VoldVnew=(edgeold)3(edgeold4)3
Vnew=164 Vold
Volume will be decreased by 164 times.