Question

A stack of 1000 sheets of paper is 11·8 cm high what is the thicknness of each sheet of paper

Answer 1

Answer:

0.118mm

Step-by-step explanation:

Thickness of 1000 sheets =11.8cm

Then, Each sheet =118/10÷1000

=118/1000 =0.118mm

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Answer 2

The thickness of each sheet of paper is 0.0118 cm or 0.118 mm.

• There are some sheets of papers that when stacked up form a pile which will come up to some height.
• Each sheet on the stack would have some thickness associated with it.
• The resulting height formed is due to the cumulative sum of the thickness of each of the sheet in the bundle, which is given to be 11.8 cm.
• This is given to be the height of 1000 sheets of paper which means that the total number of sheets present in the stack are 1000.
• The thickness of each sheet of paper is to be found out. This can be done using the unitary method wherein similar quantities are equated to compute the value of the unknown quantity.
• The unknown measure is calculated by cross multiplying the known quantities together.
• Here, the unknown quantity is the thickness of one sheet of paper. Thus, let the height or the thickness of a single paper be x cm.

Hence, by unitary method we have:

                                          1000 sheets of paper = 11.8 cm

                                           1 sheet of paper = x cm

The equating is done in a manner where the number of sheets are on the left hand side while the their corresponding heights/thickness are on the right hand side.

On cross multiplication of both the sides we get:

                                               $\implies x\times1000=1\times11.8$

By rearranging the terms to make x as the subject we have:

                                               $\implies x=\frac{1\times11.8}{1000}$

                                               $\implies x=\frac{11.8}{1000}$

                                               $\implies x=0.0118\;cm$

This is the thickness of each sheet.

This can also be written as:

$x=1.18\times 10^{-2} \;cm$

We know that:

$1\;cm=10\;mm$

$\implies 1.18\times 10^{-2} \;cm=0.118\;mm$

Thus, the thickness of each paper is 0.0118 cm or 0.118 mm.

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