The original cube’s surface area is 6 × 4² = 96 cm². Cutting it yields 64 unit cubes with total surface area 64 × 6 = 384 cm². The ratio is 96 : 384, simplifying to 1 : 4.
Class 9 Maths Ganita Manjari Part 2 Solutions
Class 9 maths ganita manjari part 2 chapter 14 question answer
The surface area of the original cube of side 4 cm is 6 × 4² = 96 cm². Cutting it into 1 cm cubes produces 4³ = 64 small cubes. Each small cube has a surface area of 6 × 1² = 6 cm², making the total area 64 × 6 = 384 cm². Therefore, the ratio of their surface areas is 96 : 384 = 1 : 4.
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