Mary has 50 earring boxes. the boxes measure 1 inch on each side. How many rectangular prisms, each with a different-sized base, could Mary make by stacking all of the earing boxes?
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Answer:
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
Step-by-step explanation:
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