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AP EAMCET · PHYSICS · Units and Dimensions

The length of the side of a cube is \(1.2 \times 10^{-2} \mathrm{~m}\). Its volume up to correct significant figures is

  1. A \(1.732 \times 10^{-6} \mathrm{~m}^3\)
  2. B \(1.73 \times 10^{-6} \mathrm{~m}^3\)
  3. C \(1.70 \times 10^{-6} \mathrm{~m}^3\)
  4. D \(1.7 \times 10^{-6} \mathrm{~m}^3\)
Verified Solution

Answer & Solution

Correct Answer

(D) \(1.7 \times 10^{-6} \mathrm{~m}^3\)

Step-by-step Solution

Detailed explanation

Length of cube, \(1=1.2 \times 10^{-2} \mathrm{~m}\) \(\therefore \quad\) Volume \(=1^3=\left(1.2 \times 10^{-2}\right)^3=1.728 \times 10^{-6} \mathrm{~m}^3\) \(\therefore\) The volume of cube upto correct significant figure is \(\mathrm{V}=1.7 \times 10^{-6} \mathrm{~m}^3\)
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