A cube has a volume of 27 cubic units. What is the length of one of its edges?
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Question & Answer
A cube has a volume of 27 cubic units. What is the length of one of its edges?
1 Answer
Verified archiveTo find the length of one edge of a cube when you know the volume, you can use the formula for the volume of a cube:
[ V = s^3 ]
where ( V ) is the volume and ( s ) is the length of one edge.
Given that the volume ( V = 27 ) cubic units, you can set up the equation:
[ s^3 = 27 ]
Next, take the cube root of both sides to solve for ( s ):
[ s = sqrt[3]{27} ]
Since ( 3^3 = 27 ), it follows that:
[ s = 3 ]
So, the length of one edge of the cube is 3 units.