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 "=(1728/8)cm^3=216cm^3`

(a₁)³ = 216 cm³

⇒ a₁ = 6 cm

Therefore, the side of the smaller cubes will be 6 cm.

`"Ratio between surface areas of cubes "="Surface area of bigger cube"/"Surface area of smaller cube"`

                                                          `=(6a^2)/(6a_1^2) = 12^2/6^2 = 4/1`

Therefore, the ratio between the surface areas of these cubes is 4:1.