Question

Solve for the indicated variable. Volume of a Rectangular Prism Solve for \(h: V=\ell w h\)

Short answer

The isolated variable \(h\) in the volume formula for a rectangular prism is \(h = \frac{V}{\ell w}\)

Step-by-step solution

Understand the Formula

Firstly, the formula for the volume of a rectangular prism; \(V = \ellwh\), needs to be understood. In the formula, \(V\) stands for Volume, \(\ell\) for Length, \(w\) for Width, and \(h\) for Height. We are required to isolate \(h\) in this equation.

Divide Both Sides by \(\ell w\)

To isolate \(h\), we must eliminate other variables from the left side, where \(h\) is currently located. We can achieve this by dividing both sides of the equation by \(\ell w\). This operation will give \(h = \frac{V}{\ell w}\).

Writing Down the Final Solution

After successfully isolating \(h\) in the equation, the final step is to record the new expression for \(h\), which is \(h = \frac{V}{\ell w}\). This is the expression for height in terms of volume, length, and width.