First slide

Accuracy; precision of instruments and errors in measurements

Question

Find, volume of a cube of side $a = 1.4 \times 10^{- 2} m$ .

Moderate

A

$2.7 \times 10^{- 6} m^{3}$
B

$2.7 \times 10^{- 3} m^{3}$
C

$7.2 \times 10^{- 6} m^{3}$
D

None of these

Solution

Volume $V = a^{3}$
$= (1.4 \times 10^{- 2}) \times (1.4 \times 10^{- 2}) \times (1.4 \times 10^{- 2}) = 2.744 \times 10^{- 6} m^{3}$
Since, each value of a has two significant figures. Hence, we will round off the result to two significant figures,
$V = 2.7 \times 10^{- 6} m^{3}$

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