Given the volume formula V = lwh, how do you solve for w?

To solve for the variable ( w ) in the volume formula ( V = lwh ), you need to isolate ( w ) on one side of the equation. The volume ( V ) is the product of length ( l ), width ( w ), and height ( h ).

Starting with the equation:

[ V = lwh ]

To solve for ( w ), you can divide both sides of the equation by ( lh ):

[ w = \frac{V}{lh} ]

This gives you ( w ) in terms of the volume ( V ), length ( l ), and height ( h ). Therefore, this relationship accurately isolates ( w ) as it shows how the volume is distributed by the length and height.

The other choices do not correctly isolate ( w ) in relation to the volume and the other dimensions of the volume equation. Therefore, this method of division demonstrates a clear understanding of algebraic manipulation in the context of solving for a specific variable.