Question

A solid cube of side 12cm is cut into 8 cubes of equal volume. What will be the side of the new
cube? What will happen to the volume of a cube if its edge is doubled ????

Answer 1

Side (a) of cube = 12 cm

Volume of cube = (a)3 = (12 cm)3 = 1728 cm3

Let the side of the smaller cube be a1.

Volume of 1 smaller cube

Answer 2

according to question.
side of the original cube = 12 cm
then it's volume is going to be. 12^3
=1728 cm^3
then it is cut in 8 equal parts,
then the volume of a smaller cube = 1728/8
=216 cm^3
then the side of new cube
= ^3√216
= 6 cm
if the edge is doubled
volume will be
(edge×2)^3
=edge × 8 cm^3