I need help solving a mathematical problem, my own math skills are not the best. Here's the problem..

My father built a box of sorts, kind of like a piggy bank for us to put our coins and spare change in. Now the box is quite big and I'm wondering approximately how much it will contain once it's full which i guess will happen in about 50 years.

Here are the measurements for the box and a coin. I'm using just one coin to simplify it...

Box; 35,4 inches high (90 cm), lid and bottom (depth); 16x16 inches (40 cm)

Coin; Rim - 1,88 millimeters, Diameter - 25,00 millimeters

So let's say the stack up perfectly, how many coins would the box contain once full? Please show me how you solved it. Thanks!