From the equation V = lwh, how can you isolate l when given V, w, and h?

To isolate l in the equation V = lwh, you want to express l as a function of the other variables, V, w, and h. We begin with the equation in its original form.

Since V represents the volume of a rectangular prism, which can be defined by the product of its length (l), width (w), and height (h), we can rearrange the equation to solve for l. This can be done by dividing both sides of the equation by the product of w and h.

Starting from the equation:

[ V = l \cdot w \cdot h ]

To isolate l, divide both sides by (w * h):

[ l = \frac{V}{w \cdot h} ]

This shows that when you know the volume (V) and the dimensions (w and h), you can find the length (l) by dividing the volume by the product of width and height. Thus, the expression that effectively isolates l is indeed l = V / (wh).

This reasoning aligns perfectly with the choice that has been identified as correct. The other options do not express l accurately in terms of V, w, and h, as they either fail to include both width and height