Side of a large cube(a) = 12cm
volume of the cube = (12³)cm³
=> 1728 cm³
eight small cubes of equal volumes are cut from the larger one
∴volume of larger cube = 8* volume of one small cube.
=>1728 = 8 * volume of small cube
=>1728/8 = volume of small cube
∴volume of one small cube = 216.
then side of the smaller cube = ∛216 = 6cm
The ratio of surface area of larger cube and small cube = 864:216 = 4:1