The bases of the prism below are rectangles. If the prism's height measures 3 units and its volume is 126 unitscubed 3 , solve for xx.

To solve for $x$, follow these steps:

1. Understand the formula for the volume of a prism: The volume $V$ of a rectangular prism is given by the formula: $V = \text{Base Area} \times \text{Height}$

2. Identify the given values:

   • The height of the prism $h$ is 3 units.
   • The volume $V$ is 126 cubic units.

3. Express the base area in terms of $x$: Let the dimensions of the rectangular base be $x$ and $y$. Therefore, the base area $A$ is: $A = x \times y$

4. Substitute the known values into the volume formula: $126 = (x \times y) \times 3$

5. Solve for the base area: Divide both sides of the equation by 3 to isolate $x \times y$: $x \times y = \frac{126}{3} = 42$

6. Conclusion: The product of the dimensions of the rectangular base $x$ and $y$ is 42. Without additional information about the specific values of $x$ and $y$, we can only conclude that: $x \times y = 42$

If more information about the dimensions of the base is provided, you can solve for the specific value of $x$.