A solid cube of side 8 cm is melted and recast into smaller cubes of side 2 cm each. The ratio of the total surface area of all small cubes to the surface area of the original cube is:
Correct: A
Original cube surface area = 6(8^2) = 384 cm². Number of small cubes = 8³/2³ = 64. Total surface area of small cubes = 64×6×(2²) = 1536 cm². Ratio = 1536/384 = 4:1. The correct answer is 4:1.