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How can prime factorization help you design a rectangular prism with a given volume?
Wiki User
∙ 12y ago
It cannot except in the highly restricted and totally artificial situation where all sides are of integer measure (in some units).
If you were required to find a prism with measure 30 cubic metres then you are meant to say:
"Oh, I know! The prime factorisation of 30 is 2*3*5 and so the prism is 2 m * 3 m * 5 m."
Yes, that is certainly possible, but what about
1 m * 2 m * 15 m?
or 1 m * 4 m * 7.5 m?
or (worse still) sqrt(2) m * sqrt(2) m * 15 m?
For any given volume, there are infinitely many possible triplets of measures for suitable prisms and prime factorisation is of help in only a small number of cases. A finite number out of an infinite number = precisely 0%!
Wiki User
∙ 9y ago
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