SOLUTION: A painted 2X2X2 cube is cut into eight unit cubes. What fraction of the total surface area of the eight small cubes is painted?
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Question 31458: A painted 2X2X2 cube is cut into eight unit cubes. What fraction of the total surface area of the eight small cubes is painted? Answer by checkley71(8403) (Show Source):
You can put this solution on YOUR website! THE ANSWER IS HALF OF THE SIDES ARE PAINTED.
THE ORIGINAL CUBE IS CUT IN HALF THREE TIMES TO FORM THE 8 CUBES. 1/2X1/2X1/2=1/8
EACH CUT EXPOSES AN UNPAINTED SIDE THEREFORE THE THREE CUTS RESULT IN 3 UNPAINTED SIDES. THE REMAINING 3 SIDE ARE THE ORIGINAL PAINTED SIDES.