If the thickness of a pile of 12 cardboards is 65 mm,

Question:

If the thickness of a pile of 12 cardboards is 65 mm, find the thickness of a pile of 312 such cardboards.

Solution:

Let x mm be the required thickness. Then, we have:

Thickness of cardboard (in mm) 65 x
No. of cardboards 12 312

Clearly, when the number of cardboard is more, the thickness will also be more.

So, it is a case of direct proportion.

Now, $\frac{65}{12}=\frac{x}{312}$

$\Rightarrow x=\frac{65 \times 312}{12}$

$\Rightarrow x=1690$

Therefore, the thickness of the pile of 312 cardboards is 1690 mm.

 

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