Question

If two cardboard boxes occupy 300 cubic centimetres space, then how much space is required to keep 150 such boxes?
[2 marks]

Answer 1

As the number of boxes increases [B], the space [S] required to keep them also increases.
So, this is a case of direct proportion.
$\Rightarrow \frac{B}{S}=constant$
$\Rightarrow \frac{B_1}{S_1}=\frac{B_2}{S_2}$

[0.5 mark]

Let the space occupied by $150$ card board boxes be $x$ cubic centimetres .

Space (in cubic centimetres)	$300$	$x$
Number of cardboard boxes	$2$	$150$

[0.5 mark]

$\Rightarrow \frac{2}{300}=\frac{150}{x}$
$\Rightarrow x=\frac{150\times 300}{2}=22500$

Thus, the required space for packing $150$ card boxes is $22500$ cubic centimetres.

[1 mark]