SOLUTION: given that the area of a cube is twice it's volume.find the value of the edge length in meters.

Algebra ->  Surface-area -> SOLUTION: given that the area of a cube is twice it's volume.find the value of the edge length in meters.      Log On


   

Question 878964: given that the area of a cube is twice it's volume.find the value of the edge length in meters.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Surface Area: SA = 6s^2

Volume: V = s^3

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"given that the area of a cube is twice it's volume" ---> SA+=+2%2AV ---> 6s%5E2+=+2%2As%5E3

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6s%5E2+=+2%2As%5E3

0+=+2%2As%5E3+-+6s%5E2

2%2As%5E3+-+6s%5E2+=+0

2s%5E2%28s+-+3%29+=+0

2s%5E2+=+0 or s+-+3+=+0

s+=+0 or s+=+3

Ignore s+=+0 as it's a trivial solution.

The only practical solution is s+=+3

So the cube has a side length of 3 meters.