A pile of 240 cardboard sheets will be ____ cm thick if a pile of 12 cardboard sheets is 45 mm thick.

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Detailed Solution

A pile of 240 cardboard sheets will be 90 cm thick if a pile of 12 cardboard sheets is 45 mm thick.
It is given that a pile of 12 cardboard sheets is 45 mm thick.
We know that if two quantities

x

and

y

vary in the same way while maintaining a constant ratio between their respective values, then the two quantities are said to be in direct proportion.
i.e.

x y = k,

where k is a constant positive number.
Let’s assume the thickness of 240 cardboard sheets is

x .

∵ 1 mm = 110 cm ⇒ 45 mm = 4510 = 4 .5 cm

From the given data, we can draw the following table as,
Question Image

Since, on increasing the number of cardboard sheets, there will be an increase in the thickness of cardboard sheets therefore this is a case of direct proportion. Thus,