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The question asks for the correct formula to solve for the height \( h \) of a rectangular prism, given its volume \( V \), length \( \ell \), and width \( w \).

The original formula for the volume of a rectangular prism is:

\[
V = \ell w h
\]

To isolate \( h \), we can rearrange this equation by dividing both sides by \( \ell w \):

\[
h = \frac{V}{\ell w}
\]

This means the correct equation for finding the height is \( h = \frac{V}{\ell w} \), which matches the third option that is highlighted.

Would you like any further details or clarification?

Here are five follow-up questions based on this problem:
1. How would the formula change if you wanted to solve for the width \( w \) instead of the height \( h \)?
2. What happens to the height \( h \) if the volume \( V \) is doubled but the length \( \ell \) and width \( w \) stay the same?
3. Can this formula be applied to other types of prisms, or is it specific to rectangular prisms?
4. What would the formula look like if we had a cube instead of a rectangular prism?
5. How would you calculate the length \( \ell \) if you know the volume, height, and width?

**Tip**: When rearranging formulas, always check that units on both sides match to ensure your equation is consistent.

The volume, V, of a rectangular prism is V = lwh, where l is the length, w is the width, and h is the height. What is the equation for finding the height, h, of the rectangular prism based on the given formula?

Learn how to find the height of a rectangular prism using the volume formula V = lwh. Understand how to rearrange the equation and solve for h. Suitable for students in Grades 7-9.

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