Acube has a volume of 1,000 cubic feet. what is the length of an edge of the cube

Volume = (side length)³

Alternatively we could say that; 

Side length = ∛volume

(we have just found the cube root of both sides here, remember we can do what we like to an equation, as long as we do the same to both sides!)

Because we cubed side length to get volume, side length must be the cubic root of the volume, the ∛.

We know that the volume is 1000 cubic feet, so;

Side length = ∛1000

∛1000 = 10

So one side length is 10 feet.