Mr. rodriguez works wants to arrange 12 toys in a display shaped like a rectangular prism. the toys are in cube shaped boxes. how many rectangular prisms with a different-size base can he make with the boxes?

Question

Bryan Hunt

Mathematics

12 January, 01:56

Mr. rodriguez works wants to arrange 12 toys in a display shaped like a rectangular prism. the toys are in cube shaped boxes. how many rectangular prisms with a different-size base can he make with the boxes?

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Adonis · Answer 1

(Might need more details on this one, correct me if I misinterpreted this problem)

I assume that what is required here is the number of possible rectangular prisms that can be made using cube-shaped objects.

A "mathy" solution to this is using the formula for the volume of a prism: V=l*w*h

The volume of the prism made should be equal to that occupied by 1 toys. Thus, the formula is now: 12=l*w*h, where l is how many toys long, w is how many toys wide, and h how many toys high the prism is.

Using this formula, I can see three ways to make the prism:

Arrange them all in a straight line (12 toys long, one toy wide, one toy high)

Place them flat, 4 toys long, 3 toys wide and 1 toy high.

Stack them, 3 toys long, 2 toys high, and 2 toys wide.