Question

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

Answer 1

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