Problem:
A cube with -inch edges is made using cubes with -inch edges. Nineteen of the smaller cubes are white and eight are black. If the eight black cubes are placed at the corners of the larger cube, what fraction of the surface area of the larger cube is white?
Answer Choices:
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B.
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Solution:
Four black and five white squares are visible on each of the six faces of the cube. So of the surface will be white.
Answer: .
The problems on this page are the property of the MAA's American Mathematics Competitions