Problem:
Marla has a large white cube that has an edge of feet. She also has enough green paint to cover square feet. Marla uses all the paint to create a white square centered on each face, surrounded by a green border. What is the area of one of the white squares, in square feet?
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Solution:
The surface area of the cube is square feet. The green paint covers square feet, so the total area of the white squares is square feet. There are white squares, so each has area square feet.
Answer: .
The problems on this page are the property of the MAA's American Mathematics Competitions