SOLUTION: It takes a colony of termites one day to devour a block of wood that is 2 inches wide, 2 inches long and 2 inches high. How long will it take them to devour a block of wood that is

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Question 151310: It takes a colony of termites one day to devour a block of wood that is 2 inches wide, 2 inches long and 2 inches high. How long will it take them to devour a block of wood that is 4 inches wide, 4 inches long and 4 inches high. Assume they keep eating at the same rate.
Answer by Earlsdon(6294) About Me  (Show Source):
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In a 2X2X2 block of wood there are 2%5E3+=+8 cubic inches of wood, so the termites devour 8 cubic inches of wood in a day.
In a 4X4X4 block of wood there are 4%5E3+=+64 cubic inches of wood, so the termites will take 8 days (8 times 8 = 64) to devour the 4X4X4 block.