Answer:
The force is [tex]F = 1397 lb[/tex]
Explanation:
From the question we are told that
The length of the box is [tex]l = 19 \ in[/tex]
The width of the box is [tex]w = 5 \ in[/tex]
The height is [tex]h = 4\ in[/tex]
The pressure experience on one of the sides is mathematically represented as
[tex]p = \frac{F}{A}[/tex]
Where A is the area of the box which is mathematically evaluated as
[tex]A = l * w[/tex]
substituting values
[tex]A = 5 *19[/tex]
[tex]A = 95 \ in^2[/tex]
This pressure is equivalent to the atmospheric pressure which has a constant value of [tex]p = 14.7 pi[/tex]
This implies that
[tex]14.7 = \frac{F}{95}[/tex]
=> [tex]F = 14.7 *95[/tex]
=> [tex]F = 1397 lb[/tex]
