Solving Pressure & Force Homework Problem

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To solve the homework problem regarding the force required to lift a lid from a box with an inner pressure of 7.2e4 Pa, the relevant equation is P=F/A. The dimensions of the box were converted from centimeters to meters, which is necessary for accurate calculations. The initial attempt calculated the force using a simplified atmospheric pressure of 100,000 Pa, resulting in an incorrect answer of 448 N. The correct approach involved using a more precise atmospheric pressure value, leading to the correct solution. Accurate atmospheric pressure is crucial for determining the force needed to lift the lid.
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Homework Statement



"A lid is put on a box that is 10 cm long, 16 cm wide, and 8.0 cm tall and the box is then evacuated until its inner pressure is 7.2e4 Pa."

How much force is required to lift the lid at sea level?

Homework Equations



I know that I have to use P=F/A
I changed my centimeters to meters also, although I'm not sure you have to.

The Attempt at a Solution



I used F = PA
F= (Atmospheric pressure - inner pressure)(lxw)
F=(100000 - 72000)(.10x.16)
F=(28000)(.016)
F=448 N

I tried this answer but got it wrong. Can someone please point me in the right direction? Thanks!
 
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I figured it out! I just used a more accurate number for my atmospheric pressure instead of simply 10000.
 
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