SOLUTION: A rectangular box has an open top and square base. Volume: 18 cu. in. Outside surface: 33 sq. in. Determine box dimensions. Not sure how to solve.

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Question 1158633: A rectangular box has an open top and square base.
Volume: 18 cu. in.
Outside surface: 33 sq. in.
Determine box dimensions.

Not sure how to solve.
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
height y
bottom, x and x

Most Important: Be able to form these two equations based on the description.

VOLUME, x%5E2%2Ay=18

SURFACE AREA, x%5E2%2B4xy=33
(done as, the "outside surface" includes the bottom of the box.)

You can decide what to do next.
You now have two equations in the two unknown variables. Solve the system!