Mary has 50 earring boxes the boxes measure 1 inch on each side. How many rectangular prisms all with a different size base could Mary make with stacking all of the earring boxes

Given:

50 earring boxes with a measure of 1 inch each side

volume of boxes = a³ = 1³ = 1 in³

total volume of boxes = 1 in³ * 50 boxes = 50 in³

volume of a rectangular prism = length * width * height

50 in³ = length * width * height

Let us assume that the height is 1 in.

length and width can be factored:

50 x 1

25 x 2

10 x 5

I can only make 3 rectangular prisms