GATE_AE_2027_MOCK_01_Q03 GATE 2027 Aerospace Engineering All-India Master Mock 01 (Foundation & Standard Core Calibration) NAT · 1 Mark
General Aptitude • Quantitative Aptitude • Arithmetic & Numerical Estimation

In a wind tunnel test facility, a technician notices that a model wing scaled at $1:20$ requires $12.5\text{ liters}$ of resin. How many liters of resin would be required to produce a geometrically similar model scaled at $1:10$?

Answer Key:
100

Step-by-Step Verified Solution

### Solution: Volume scales with the cube of linear dimension: $V_2 / V_1 = (scale_2 / scale_1)^3 = ((1/10) / (1/20))^3 = 2^3 = 8$. Therefore $V_2 = 12.5 \times 8 = 100\text{ liters}$. Correct: 100.
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