SOLUTION: The volume of a cube is given by V = s^3. Find the length of a side of a cube if the Volume is 729 cm^3. "^" Means it is cubed Answer: Show work in this space.

Algebra ->  Algebra  -> Volume -> SOLUTION: The volume of a cube is given by V = s^3. Find the length of a side of a cube if the Volume is 729 cm^3. "^" Means it is cubed Answer: Show work in this space.       Log On

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Question 72552: The volume of a cube is given by V = s^3. Find the length of a side of a cube if the Volume is 729 cm^3. "^" Means it is cubed
Answer:
Show work in this space.

Answer by jim_thompson5910(28550) About Me  (Show Source):
You can put this solution on YOUR website!
In order to solve for s (the side), just take the cube root of 729.
V=s%5E3
729=s%5E3
3sqrt%28729%29=3sqrt%28s%5E3%29Solve for s by taking the cube root of both sides (this undoes the exponent of 3)Note: the 3 in front of the root should be higher signifying its a cube root.
s=9So the side's length is 9 cm
Check:
If you multiply 9 by itself 3 times (to find the volume) you'll get 729
%289%29%5E3=729Answer works