The surface area of a prism is 224', so what are the dimensions of the prism?

Question

Bob Jones curriculum.  my son has a problem we have worked on all evening.

the question is:  What are the dimensions of the prism?  The surface area is 224'.

That's all we have to go on!  please help.  we understand that S=L+2B.

I have the answer book and even know the answer is that the base is 4'x4' and the L is 12'.   I just don't know how to get there!

Answer 1

There needs to be more information regarding this problem. what kind of prism (rectangular, triangular etc.)  Also, is there a diagram with any dimensions give as variables?

it appears that from the answer, it is a square prism, but there should be some information regarding out the height relates to the base.

Answer 2

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