SOLUTION: The volume of a cube is given by V=s cubed. Find the length of a side of a cube if the Volume is 729 cm cubed.

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Question 24594: The volume of a cube is given by V=s cubed. Find the length of a side of a cube if the Volume is 729 cm cubed.

Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
V+=+s%5E3
729+=+s%5E3

Do you happen to know what number you can cube and get 729? Do you have a calculator? If so, you can take the cube root of 729. That is +root%283%2C729%29.

If you are NOT allowed to use calculators, then you will have to start cubing numbers, like 1%5E3=+1, 2%5E3=8, 3%5E3=27, and so on, then try 10%5E3+=+1000. OOPS!! That number is larger than 729, so back off and try 9! I think you will find that 9%5E3=+729, so the answer you need is 9 cm. Final answer!

R^2 at SCC

P.S. The calculator is a LOT easier, if your teacher will allow you to use it on big numbers like this!! Tell them R^2 at SCC likes calculators!!