alleryTwelve identical cubes form a cuboid. Which arrangement gives the least surface area?
A1 × 1 × 12
B1 × 2 × 6
C1 × 3 × 4
D2 × 2 × 3
Answer & Solution
Correct answer: D. 2 × 2 × 3
1. Surface areas in unit squares: 1×1×12 gives 50, 1×2×6 gives 40, 1×3×4 gives 38.
2. 2×2×3 gives 2(4 + 6 + 6) = 32.
3. So 2 × 2 × 3 has the least.
_Source: NCERT Class 8 Mathematics, Chapter 9 Mensuration, 9.4.2 Cube_
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