Question

Volume of a rectangular box (cuboid) with $\mathrm{length}=2\mathrm{ab}$, $\mathrm{breadth}=3\mathrm{ac}$ and $\mathrm{height}=2\mathrm{ac}$ is

• A. $12{\mathrm{a}}^3{\mathrm{bc}}^2$
• B. $12{\mathrm{a}}^3\mathrm{bc}$
• C. $12{\mathrm{a}}^2\mathrm{bc}$
• D. $2\mathrm{ab}+3\mathrm{ac}+2\mathrm{ac}$

Answer 1

The correct option is A

$12{\mathrm{a}}^3{\mathrm{bc}}^2$

Explanation of the correct explanation

Volume of cuboid = length x breadth x height

$\begin{array}{rcl}& =& 2\mathrm{ab}\times 3\mathrm{ac}\times 2\mathrm{ac}\\ & =& (2\times 3\times 2)\times \mathrm{ab}\times \mathrm{ac}\times \mathrm{ac}\\ & =& 12{\mathrm{a}}^3{\mathrm{bc}}^2\mathrm{cubic}\mathrm{units}\end{array}$

Hence, option A is correct.