SOLUTION: The difference between the sides of two cubes is 6 and the difference of their volumes is 504. Find the sides of the cubes.
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Question 1162923: The difference between the sides of two cubes is 6 and the difference of their volumes is 504. Find the sides of the cubes. Answer by Alan3354(69443) (Show Source):
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The difference between the sides of two cubes is 6 and the difference of their volumes is 504. Find the sides of the cubes.
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(s-6)^3 = s^3 - 504
s^3 - 18s^2 + 108s - 216 = s^3 - 504
-18s^2 + 108s - 216 = -504
18s^2 - 108s + 216 = 504
18s^2 - 108s - 288 = 0
s^2 - 6s + 16 = 0
s = 8
s-6 = 2
