Question

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

• A. $1.7 \times 10^{-6} \,m^3$
• B. $1.73 \times 10^{-6}\, m^3$
• C. $1.70 \times 10^{-6} \,m^3$
• D. $1.732 \times 10^{-6} \,m^3$

Answer 1

The Correct Option is A

Length of the cube, $L =1.2 \times 10^{-2} m$ $\therefore$ Volume of the cube, $V = L ^{3}=\left(1.2 \times 10^{-2}\right) \times\left(1.2 \times 10^{-2}\right) \times\left(1.2 \times 10^{-2}\right) m ^{3}$ $\Rightarrow V =1.728 \times 10^{-6} m ^{3}$ But as the length contains only $2$ significant digits, thus volume must also contain $2$ significant digits. Hence, volume of the cube is $1.7 \times 10^{-6} m ^{3}$