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Suppose you have a book on the counter, and you decide to estimate the thickness of each sheet.

You take a ruler that is graduated into millimeters and determine the length from the front cover to the back cover is 2.8 cm. Furthermore, you look down at the last page and conclude the book has 313 pages.

How thick do you predict each sheet of the book is?

*Jargon Alert:* The number of "sheets" is the number of "leaves" or physical pieces of paper that are bound to make the book. Remember that each sheet or each piece of paper has both a front side and a backside. Each side is a unique page. This means that each "sheet" consists of two pages. For this problem, assume the front cover and the back cover are equal in thickness to the sheet thicknesses in between.

Give your answer in units of centimeters; however, **do not include** the letters "cm" in your answer. Only include the numerical portion in the answer box; otherwise, the answer (even if correct) will be counted as incorrect. Keep three decimal places in your answer.

Answer :

The thickness of each sheet in the book is approximately 0.018.

[tex]\[ \text{Answer: } 0.018 \][/tex]

In summary, by dividing the total thickness of the book by the number of sheets, we estimate that each sheet is approximately 0.018 cm thick.

To estimate the thickness of each sheet in the book, we can use the fact that each sheet consists of two pages (a front and a back). The total number of pages in the book is 313, so the number of sheets is half of that, which is 156.5 (313 pages ÷ 2).

Now, the total thickness of the book from the front cover to the back cover is measured as 2.8 cm. This total thickness includes the front and back covers, as well as the thickness of all the sheets in between.

To find the thickness of each sheet, we divide the total thickness by the number of sheets:

[tex]\[ \text{Thickness of each sheet} = \frac{\text{Total thickness}}{\text{Number of sheets}} \][/tex]

[tex]\[ \text{Thickness of each sheet} = \frac{2.8 \, \text{cm}}{156.5} \][/tex]

Calculating this gives us the thickness of each sheet. Rounding to three decimal places, the thickness of each sheet is approximately 0.018 cm.

The question probable maybe :-

Suppose you have a book on the counter and you decide to estimate the thickness of each sheet .You take ruler that is graduated into millimeters and determine the length from the front cover to the back cover is 2.8 cm. Furthermore, you look down at the last page and conclude the book has 313 pages. How thick do you predict each sheet of the book is? Jargon Alert: The number of "sheets" is the number of "leaves" or physical pieces of paper that are bound to make the book. Remember that each sheet or each piece of paper has both a front side and a backside. Each side is a unique page. This means that each "sheet" consists of two pages. For this problem assume the front cover and the back cover are equal in thickness to the sheet thicknesses in between. Give your answer in units of centimeters, however DO NOT include the letters "cm" in your answer.

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