Question

A cube has a side of length 1.2 x ${10}^{-2}$. Its volume upto correct significant figures is

• A. 1.7 x ${10}^{-6}{m}^3$
• B. 1.73 x ${10}^{-6}{m}^3$
• C. 1.78 x ${10}^{-6}{m}^3$
• D. 1.732 x ${10}^{-6}{m}^3$

Answer 1

The correct option is A 1.7 x ${10}^{-6}{m}^3$

Here

Length of the cube, $L=12x{10}^{-2}m$

Volume of the cube, $V=(1.2\times {10}^{-2}m{)}^3=1.728\times {10}^{-6}{m}^3$

As the result can have only two significant figures, therefore, on rounding off, we get, $V.1.7\times {10}^{-6}{m}^3$