SOLUTION: The surface area of a cube has 1.5 times as many cm as the volume of the cube has cubic cm. what is the measure of a side of the cube? Please help! Thank you!

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Question 1029263: The surface area of a cube has 1.5 times as many cm as the volume of the cube has cubic cm. what is the measure of a side of the cube? Please help! Thank you!
Found 2 solutions by ikleyn, Alan3354:
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
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The surface area of a cube has 1.5 times as many cm as the volume of the cube has cubic cm.
What is the measure of a side of the cube? Please help! Thank you!
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Let "a" be the cube edge length.

Then the surface area of the cube is 4%2Aa%5E2 cm%5E2, while its volume is a%5E3 cm%5E3.

According to the condition,

1.5%2A4%2Aa%5E2 = a%5E3,

Hence, 

6a%5E2 = a%5E3  --->  a = 6 cm.

Answer.  The cube edge dimension is 6 cm.


Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
The surface area of a cube has 1.5 times as many cm as the volume of the cube has cubic cm. what is the measure of a side of the cube?
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s = side length
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Vol = s^3 cc
SA = 6s^2 sq cms
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1.5s^3 = 6s^2
s^3 = 4s^2
s = 0
s = 4