A large cube is formed from the material obtained by melting three smaller cubes of 3, 4 and 5 cm side. What is the ratio of the total surface areas of the smaller cubes and the large cube?
Q1. A large cube is formed from the material obtained by melting three smaller cubes of 3, 4 and 5 cm side. What is the ratio of the total surface areas of the smaller cubes and the large cube?
Answer: 25:18:00
Explanation: Volume 3³+4³+5³ = 216 = 6³, so the large cube has side 6 cm; total SA of small cubes = 6(9+16+25) = 300 cm² vs. large cube 216 cm²; ratio = 25:18.