5. The volume of a rectangular prism is \( 468 \mathrm{~m}^{3} \). The area of the base is \( 36 \mathrm{~m}^{2} \). What is the height?

To find the height of the rectangular prism, you can use the formula for the volume of a prism: \( V = \text{Base Area} \times \text{Height} \). Given that the volume \( V = 468 \mathrm{~m}^{3} \) and the base area is \( 36 \mathrm{~m}^{2} \), you can rearrange the formula to solve for height: \[ \text{Height} = \frac{V}{\text{Base Area}} = \frac{468}{36} = 13 \mathrm{~m}. \] So, the height of the rectangular prism is \( 13 \mathrm{~m} \)! When you're working with volume and dimensions, it's easy to mix up your units or formulas. Double-check your base area and make sure you've set up the problem correctly. Mistakes often happen when you forget to convert units or accidentally use the wrong formula, so always read the entire problem carefully before diving in!