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