Question

Paper sheets each of thickness 1.4×10^−2 cm are stacked such that the total thickness of the stack is 4.2 cm. Find the number of paper sheets.

Answer 1

The number of paper sheets in the given stack is 3000.

Given,

Paper sheets are stacked.

Each sheet thickness = 1.4 × 10⁻² cm,

Total stack thickness = 4.2 cm.

To find,

The number of paper sheets.

Solution,

Here, it can be seen that some sheets of paper are stacked in such a way that,

the thickness of the stack = 4.2 cm.

Further, each sheet of paper has a thickness of 1.4 × 10⁻² cm.

This can be written as

1.4 × 10⁻² cm = 0.0014 cm.

Now, let the total number of sheets be 'n'.

It may be observed that,

$n \times (thickness \hspace{3} of \hspace{3} 1 \hspace{3} sheet) = total \hspace{3} stack \hspace{3} thickness \hfill ...(1)$

Substituting the respective values in (1), we get,

$n \times 0.0014 = 4.2$

Rearranging,

$n=\frac{4.2}{0.0014} =3000$

⇒ n = number of paper sheets = 3000.

Therefore, the number of paper sheets in the given stack is 3000.

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Answer 2

Answer:

3000

Step-by-step explanation:

it is an expert verified answer