To solve for this, we need to multiply all of our dimensions by each other, and then divide that product by the volume of a piece of the average popcorn.
5 x 3 = 15;
15 x 7 = 105.
105 / 1.125 = 93.33~.
This means that 93 (whole) pieces of popcorn will fit in a bag of 105 inches.
I hope this helps!