A hall is of length l, breadth b and height h. The maximum distance between any two points (say P and Q) inside the hall is 14 m, whereas the maximum distance between two points (say P and R) on the floor is 6√5 m. What is h equal to?
A.3·5 m
B.4 m✓ Correct
C.4·5 m
D.5 m
Explanation
Max distance inside hall (space diagonal) = √(l² + b² + h²) = 14, so l² + b² + h² = 196. Max distance on floor (diagonal) = √(l² + b²) = 6√5, so l² + b² = 180. Therefore h² = 196 - 180 = 16, h = 4 m.
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