Here's the step-by-step solution to find the constant of variation:
Step 1: Write the joint variation equation
When varies jointly as and the cube of , we can express this relationship using the equation , where is the constant of variation that we need to find.
Step 2: Substitute the given values into the equation
We are given that , , and . Plugging these values into the equation , we obtain:
Step 3: Simplify the right side of the equation
First, calculate