Question

Two rectangular boxes have the same height and length, but different widths as shown in the figure.



The difference in the volume of the boxes is 360 $c{m}^3$. Find the height of the box.

• A. 18 cm
• B. 15 cm
• C. 16 cm
• D. 14 cm

Answer 1

The correct option is B

15 cm

We know that volume of a cuboidal box
$=length\times width\times height$

Let the heights of the boxes be $h_1$ and $h_2$ and the difference be $h$.

Difference in the volume of the boxes
$=360c{m}^3$

Now,

$\Rightarrow (12\times 8\times h_1-9\times 8\times h_2)c{m}^3=360c{m}^3\Rightarrow 24(h_1-h_2)=360\Rightarrow 24h=360\Rightarrow h=15cm$

$\therefore$ The difference between the height of the boxes is 15 cm.