Answer:
[tex]0.00375\ \text{inches}[/tex]
Step-by-step explanation:
Volume of the stack of paper is 140.25 cubic inches
The length and width of the stack will be equal to that of a single sheet of paper so
[tex]l=11\ \text{inches}[/tex]
[tex]w=8.5\ \text{inches}[/tex]
Let [tex]h[/tex] be the height of the stack.
Volume of the stack would be
[tex]lwh=140.25\\\Rightarrow h=\dfrac{140.25}{lw}\\\Rightarrow h=\dfrac{140.25}{11\times 8.5}\\\Rightarrow h=1.5\ \text{inches}[/tex]
So the stack has a height of 1.5 inches. Now there are 400 sheet of paper in the stack.
Thickness of one sheet of paper is given by
[tex]\dfrac{1.5}{400}=0.00375\ \text{inches}[/tex]
Hence, the height of each sheet of paper is [tex]0.00375\ \text{inches}[/tex].
