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NTA Abhyas 2020
Exam
NTA Abhyas
Year
2020
Subject
Physics
Chapter
Units and Dimensions

NTA Abhyas 2020 · Physics · Units and Dimensions

The lengths of sides of a cuboid are a , 2a and 3a . If the...

The lengths of sides of a cuboid are aa, 2a2a and 3a3a. If the relative percentage error in the measurement of a is 11 %, then what is the relative percentage error in the measurement of the volume of the cube.

Correct answer

3

Step-by-step solution

V=a×2a×3aV = a \times 2a \times 3a

⇒V=6a3⇒ V = 6{a}^{3}

⇒ΔVV=3Δaa=3⇒ \dfrac{\Delta V}{V} = 3\dfrac{\Delta a}{a} = 3%

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