A rectangular prism has a length that is twice its width and a height that is three times its width. If the volume of the prism is 240 cubic centimeters, what is the width of the prism?
Recall that the volume $$V$$ of a rectangular prism can be calculated using the formula:
$$V = l imes w imes h$$
where $$l$$ is the length, $$w$$ is the width, and $$h$$ is the height.