SOLUTION: The surface area of a cube is 36cm square.find its volume of this cube

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Question 610793: The surface area of a cube is 36cm square.find its volume of this cube
Answer by fcabanski(1391) About Me  (Show Source):
You can put this solution on YOUR website!
The area of a face of a cube is s^2. A cube has 6 sides, so its surface area is 6 times the area of one face. Volume of a cube is the length of a side cubed.


Undo those operations, starting from the surface area. Surface area divided by 6 is area of a face. Square root of the area of a face is the length of a side. Volume is side cubed.


%28sqrt%2836%2F6%29%29%5E3+=+sqrt%286%29%5E3+=+6%2Asqrt%286%29