A cube of edge 4 cm is cut into cubes each of edge of 2 cm. The ratio of the total surface area of one of the small cubes to that of the large cube is equal to:
Show answer & explanation
Correct answer: C
Explanation
The correct answer is Option 3 i.e. 1 : 4.
The total surface area of a cube(SA) = 6a2
here, a = side
For the large cube with an edge of 4 cm
⇒ SA = 6 × 42 = 96 cm2
For one small cube with an edge of 2 cm
⇒ SA = 6 × 22 = 24 cm2
Ratio = SA of small cube/SA of large cube = 24/96 = 1/4 = 1 : 4