Question

A cube has a side of length $1.2\times 10^{-2}m$. Its volume up to correct significant figures is

• 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

Answer: (A)

Here
Length of the cube, $L = 1.2 \times 10^{-2} m$
Volume of the cube, $V=\left(1.2\times10^{-2}m\right)^{3}$
$= 1.728 \times 10^{-6}m^{3}$
As the result can have only two significant figures
therefore, on rounding off, we get
$V=1.7 \times 10^{-6}m^{3}$