GATE_AE_2027_MOCK_02_Q10 GATE 2027 Aerospace Engineering All-India Master Mock 02 (Compressible Aerodynamics & High-Speed Propulsion) NAT · 2 Marks
General Aptitude • Analytical & Spatial Aptitude • Spatial Reasoning & Patterns

A payload bay cube has side length $L = 4.0\text{ m}$. What is the maximum length (in meters) of a rigid straight sensor boom that can be packed inside this bay diagonally? (Round off to two decimal places).

Answer Key:
6.93

Step-by-Step Verified Solution

### Solution: Space diagonal $D = \sqrt{L^2 + L^2 + L^2} = L\sqrt{3} = 4\sqrt{3} \approx 4 \times 1.73205 = 6.9282 \approx 6.93\text{ m}$. Correct: 6.93 (range 6.90 to 6.95).
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