The lengths of sides of a cuboid are a , 2 a and 3 a . If the relative percentage error in the measurement of a is 1 % , then what is the relative percentage error in the measurement of the volume of the cube.

Question

The lengths of sides of a cuboid are a , 2 a and 3 a . If the relative percentage error in the measurement of a is 1 % , then what is the relative percentage error in the measurement of the volume of the cube.,

MARKS App · Accepted Answer

V = a × 2 a × 3 a ⇒ V = 6 a 3 ⇒ ΔV V = 3 Δa a = 3 %

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