SOLUTION: The surface area of a rectangular prism is 48 square feet. The area of its front is 4 square feet and the area of one side is 10 square feet. what is the are of the top of the pris

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Question 1006380: The surface area of a rectangular prism is 48 square feet. The area of its front is 4 square feet and the area of one side is 10 square feet. what is the are of the top of the prism?
Answer by josgarithmetic(39617) About Me  (Show Source):
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This may help.

Draw the rectangular prism, at front lower left corner, x to the right, y upward, z depth. Those are the three dimensions.

Front or back is xy=4, and left or right side is yz=10.

Sum of sides is given area of 48.
2xy+2xz+2yz=48

System of Equations
system%28xy=4%2Cyz=10%2C2xy%2B2xz%2B2yz=48%29



highlight%28xz=10%29