Question

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.
flowing at the rate of 2 km per hour. How much water
S​

Answer 1

Given:

Side 12cm

⇒Volume of cube =12×12×12=1728cm

3

⇒Volume of smaller cube

=

8

1

of 1728

=

8

1

×1728=216cm

3

⇒Let side be S.

∴ (S)

3

=216

⇒S=6 cm

Ratio of SA of cubes

=

SA of smaller cube

SA of bigger cube

=(

6

12

)

2

=

1

2

2

=

1

4

∴ Ratio between their surface areas 4:1