Answer:
2.78 inches
Step-by-step explanation:
Given,
Total pages = 70,
Thickness of each page = [tex]\frac{1}{28}[/tex],
Thus, the total thickness of 70 pages = [tex]70\times (\frac{1}{28})=\frac{35}{14}[/tex]
Also, each 2 sided page is preceded by a protective [tex]\frac{1}{70}[/tex] inches,
So, the total thickness of protective pages = [tex]\frac{1}{70}\times 2[/tex]
[tex]=\frac{1}{35}[/tex]
Now, the each side of the book is bound by 1/8 inch cover,
So, the total thickness of the cover = [tex]2\times \frac{1}{8}[/tex]
[tex]=\frac{1}{4}[/tex]
Hence, the total thickness of the book = thickness of 70 pages + thickness of protective pages + thickness of cover
[tex]=\frac{35}{14}+\frac{1}{35}+\frac{1}{4}[/tex]
[tex]=\frac{350 + 4+35}{140}[/tex]
[tex]=\frac{389}{140}[/tex]
[tex]=2.77857[/tex]
≈ 2.78 inches