Question

a solid cube of side 12 cm is cut into 8 and Dindigul cubes what will be the side of new cube also find the ratio between the surface area of the original cube and total surface area of the small cube formed​

Answer 1

Given:

Side 12cm

⇒Volume of cube =12×12×12=1728cm3

⇒Volume of smaller cube 

=81 of 1728

=81×1728=216cm3

⇒Let side be S.

∴ (S)3=216

⇒S=6 cm

Ratio of SA of cubes 

=SA of smaller cubeSA of bigger cube

=(612)2=122=14

the ratio between this is 4:1