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Q. A cube has a side of length $1.2 \times 10^{ - 2 }\, m$. Calculate its volume.

IIT JEEIIT JEE 2003Physical World, Units and Measurements

Solution:

$ V =l^{3}=\left(1.2 \times 10^{-2} m \right)^{3} $
$=1.728 \times 10^{-6} m ^{3} $
$\because$ Length $(l)$ has two significant figures, the volume $(V)$ will also have two significant figures.
Therefore, the 'correct answer is
$V=1.7 \times 10^{-6} m ^{3}$