SOLUTION: an open topped box has a square base (bottom)and a height of 7cm. if the surface area of the five sides of the box is 165cm squared, find the dimensionsof the square base?

Question 35738: an open topped box has a square base (bottom)and a height of 7cm. if the surface area of the five sides of the box is 165cm squared, find the dimensionsof the square base?
Answer by rapaljer(4671) (Show Source): You can put this solution on YOUR website!
Let x = edge of the square base.
= surface area of base
= surface area of each side, of which there are 4.

Total surface area =

This is a quadratic equation, so set it equal to zero.

These types of problems USUALLY factor, so try to find two factors of 165 such that the difference of the numbers is 28. Try 5 times 33!!

or

Reject the negative answer since a side of a box cannot be negative. This leaves x = 5 for the side of the base. The base is 5 cm. by 5 cm.

R^2 at SCC
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