Q. A cuboid has dimensions 6 cm × 8 cm × 10 cm. The ratio of its length to its space diagonal is:
✅ Correct Answer: (A)
3 : 5
Explanation: Diagonal = √(36 + 64 + 100) = √200 = 10√2. Ratio = 6 : 10√2 = 3 : 5√2, so this exact ratio is not among the options. In exams, such questions should use dimensions giving an integer diagonal.
Explanation by: Mahesh Chandra
Diagonal = √(36 + 64 + 100) = √200 = 10√2. Ratio = 6 : 10√2 = 3 : 5√2, so this exact ratio is not among the options. In exams, such questions should use dimensions giving an integer diagonal.