Answer :
The thickness of each sheet in a book that is 2.6 cm thick with 328 pages is calculated by dividing the total book thickness by half the number of pages to account for each sheet having two pages. After the division and conversion from millimeters to centimeters, the thickness per sheet is approximately 0.016.
To predict the thickness of each sheet in the book, we first need to consider that the book is 2.6 cm thick and contains 328 pages. Since each sheet consists of two pages, the book has 164 sheets. We can calculate the thickness of each sheet by dividing the total thickness of the book by the number of sheets.
The calculation is as follows:
Convert the book's thickness to millimeters:
2.6 cm = 26 mm (since 1 cm = 10 mm).
Divide this number by the number of sheets:
26 mm / 164 sheets
= 0.158536585 mm per sheet.
Convert the sheet thickness back to centimeters:
0.158536585 mm = 0.0158536585 cm per sheet.
Therefore, the predicted thickness of each sheet is approximately 0.016 when rounded to three decimal places.