Online resources – Santa's problem: web application that shows if the boxes fit in a larger box (luggage)

I am looking for a web application that can essentially show if the smaller boxes will fit into a larger box (ideally also visualize it, give recommendations on the effective placement of the boxes).

I need it because I am flying back home and I want to take gifts with me to the children of my close relatives. The size of my luggage is 60 cm x 43 cm x 25 cm. I have already ordered many online gifts that will be sent out during the next week. The dimensions of the package of those present are the following:

  • 42cm x 36cm x 5cm
  • 27 cm x 27 cm x 11 cm
  • 26 cm x 12 cm x 9 cm
  • 30 cm x 20 cm x 3 cm
  • 30 cm x 8 x 8 cm
  • … about 10 more packages …

Now, I wonder if the small gift boxes will fit in my luggage. If not, I can buy smaller or larger gifts (the sum of 3 dimensions of my current luggage is 128 cm, while the limit is 158 cm) or find some other solution.

I feel that there has to be an online resource (although I could not find it on Google) and it seems too much work to use a plain 3D rendering software that does not give me recommendations on how to effectively place smaller items in the luggage.