Question

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

• A. $1.7x{10}^{-6}{m}^3$
• B. $1.73x{10}^{-6}{m}^3$
• C. $1.70x{10}^{-6}{m}^3$
• D. $1.728x{10}^{-6}{m}^3$

Answer 1

The correct option is D

$1.728x{10}^{-6}{m}^3$

An explanation for the correct answer:

Find the volume of a cube:

We have been given, a cube has a side length $1.2x{10}^{-2}m$

Let $a$represents the side length of a cube.

$\Rightarrow a=1.2x{10}^{-2}m$

$\begin{array}{rcl}V& =& a^3\\ & =& {(1.2x{10}^{-2})}^3\\ & =& 1.728\mathrm{x}{10}^{-6}{\mathrm{m}}^3\end{array}$

Therefore, option (D) is the correct answer.