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

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

• A. w = V / l
• B. w = V / lh
• C. w = l / V
• D. w = V × lh

Answer: (B)

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.

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.