A solid cube of side 12 cm is cut into eight cubes of equal volume. What will be the side of the new cube? Also, find the ratio between their surface areas
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 = (
)
= 216 cm3
(a1)3 = 216 cm3
a1 = 6 cm
Ratio = 
= 
= 
Ratio = 4: 1
13