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.

Algebra ->  Algebra  -> Square-cubic-other-roots -> 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.      Log On

Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!
Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!

   

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) About Me  (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(4667) About Me  (Show Source):
You can put this solution on YOUR website!
Oops!! I think the previous solution is in error! The formula for Volume is V=+s%5E3, so
s%5E3+=+729.

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 5%5E3=+125, and 10%5E3+=+1000. Since 729 is between 125 and 1000, the number you need must be between 5 and 10.

Try 9! 9%5E3+=+729, so the answer is s= 9 cm.

R^2 at SCC