SOLUTION: The volume of a cube is given by V = s3, where s is the length of a side. Find the length of a side of a cube if the volume is 800 cm3. Round the answer to three decimal places. I

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Question 122339: The volume of a cube is given by V = s3, where s is the length of a side. Find the length of a side of a cube if the volume is 800 cm3. Round the answer to three decimal places.
I took 3square root of 800 and the solution I came up with was
266.66?

Found 2 solutions by Earlsdon, solver91311:
Answer by Earlsdon(6294)   (Show Source): You can put this solution on YOUR website!
I don't quite understand how you arrived at your answer of 266.66 as the cuberoot of 800.
The volume of a cube with side s, is given by:

Take the cuberoot of both sides:
cm.
Check:


cu.cm

Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!

I'm not sure what you meant by '3square root of 800' but your answer, which is
actually , is incorrect.


Since ,  or in this case, 


Just to give a sense of proportion, consider the product  and
the product .  Since , we know that
 which is to say  -- putting it into words,
the cube root of 800 is somewhere between 9 and 10.


Using the Windows calculator, I get  (plus a bunch
more digits that are meaningless) which rounds to .



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