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?

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) (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:
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.

RELATED QUESTIONS
A painter needs to purchase enough paint to paint a bedroom that consists of four walls.... (answered by ikleyn)

A painter needs to cover a triangular region 65 feet by 50 feet by 60 feet.If a can of... (answered by josgarithmetic,MathTherapy)

Ana wants to build a wooden box with a square base and a height of 1 foot. Then she will... (answered by josgarithmetic)

The number of gallons T of paint needed to paint a room varies directly with the number... (answered by rapaljer)

a homeowner painted her bathroom. she has a mirror that is 30 inches high and 20 inches... (answered by ikleyn,math_helper)

Damien has enough red paint to cover 60 square meters. The surface area does of the... (answered by Alan3354)

A painter needs to paint a circular floor that is 24 yards in diameter. A gallon of paint (answered by ankor@dixie-net.com)

You are going to paint the top of a circular table, but you only have enough paint to... (answered by addingup,josgarithmetic)

3. Campus Painters offers house-painting services by hiring college students to paint... (answered by benni1013)