SOLUTION: A painter has enough paint to cover 600 square feet of area. What is the largest square- bottom box that could be painted(including the top,bottom and all sides?

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Question 941545: A painter has enough paint to cover 600 square feet of area. What is the largest square- bottom box that could be painted(including the top,bottom and all sides?
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
A cube (square bottom box) has six faces: top, bottom, and four sides, all consisting of equal squares.With paint to cover 600 sq ft, each face could be 100 sq ft maximum. Since the sides of a square are equal, the formula for area is:
Area=%28side%29%5E2 and each edge would equal the square root of the area of the face. The square root of 100 sq ft is 10 feet, so the largest box is a cube 10 feet on each edge.