Question

If two cardboard boxes occupy 500 cubic centimetres space, then how much space is required to keep 200 such boxes?

• A. 25,000 cc
• B. 50,000 cc
• C. 75,000 cc
• D. 1,00,000 cc

Answer 1

The correct option is B

50,000 cc

As the number of boxes increases, the space required to keep them also increases. So, this is a case of direct proportion.
$\begin{array}{ccc}Numberofboxes& 2& 200\\ Spaceoccupied& 500& x\\ \left(incubiccentimetres\right)& & \end{array}$
$\therefore \frac{2}{500}=\frac{200}{x}2x=500\times 200x=\frac{\left(500\right)\left(200\right)}{2}x=50,000$
Thus, the required space is 50,000 cubic centimetres.