SOLUTION: The ratio between the volumes of two cubes is 125 to 216. What is the ratio between their respective surface areas? A) 5:6 B) 25:36 C) 125:216 D) 250:432

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Question 731535: The ratio between the volumes of two cubes is 125 to 216. What is the ratio between their respective surface areas?
A) 5:6
B) 25:36
C) 125:216
D) 250:432

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
If the sides of each cube is +s%5B1%5D+ and s%5B2%5D+
+s%5B1%5D%5E3+%2F+s%5B2%5D%5E3+=+125%2F216+
+s%5B1%5D%5E3+%2F+s%5B2%5D%5E3+=+5%5E3+%2F+6%5E3+
+%28+s%5B1%5D+%2F+s%5B2%5D+%29%5E3+=+%28+5+%2F+6+%29%5E3+
+s%5B1%5D+%2F+s%5B2%5D+=+5%2F6+
------------------
+A%5B1%5D+%2F+A%5B2%5D+=+%28+6%2As%5B1%5D%5E2+%29+%2F+%28+6%2As%5B2%5D%5E2+%29+
+A%5B1%5D+%2F+A%5B2%5D+=+%28+6%2A5%5E2+%29+%2F+%28+6%2A6%5E2+%29+
+A%5B1%5D+%2F+A%5B2%5D+=+25%2F36+
(B) is correct