SOLUTION: can someone please help me with this problem? The volume of a cube is given by V = s3. Find the length of a side of a cube if the Volume is 729 cm3.

Question 24890: can someone please help me with this problem?
The volume of a cube is given by V = s3. Find the length of a side of a cube if the Volume is 729 cm3.
Found 2 solutions by music974, rapaljer:
Answer by music974(43) (Show Source): You can put this solution on YOUR website!
Subsitute v with 729. Then you get 729=s3. Then divide each side by three to get 243=s. one of your sides therefore is 243cm3.
Answer by rapaljer(4671) (Show Source): You can put this solution on YOUR website!
Oops!! I think the previous solution is in error! The formula for Volume is , so
.

To solve this, you'll need to take the cube root of each side. A calculator would be helpful, since this number 729 is fairly large. If you don't have a calculator, then what you will need to do is find a number that you can cube (that is, multiply times itself and times itself again!) and get 729. You probably know that , and . Since 729 is between 125 and 1000, the number you need must be between 5 and 10.

Try 9! , so the answer is s= 9 cm.

R^2 at SCC
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