Question

4.
the volume ( v ) of a rectangular prism with length ( l ), width ( w ), and height ( h ) can be determined using the formula ( v = lwh ).
solve for ( w ) in terms of ( v ), ( l ), and ( h ).
a. ( w = lwh )
b. ( w = v - l - h )
c. ( w = \frac{v}{lh} )
d. ( w = \frac{lh}{v} )

Explanation:

Step1: Start with the formula

We have the volume formula for a rectangular prism: \( V = lwh \). Our goal is to solve for \( w \), so we need to isolate \( w \) on one side of the equation.

Step2: Divide both sides by \( lh \)

To isolate \( w \), we divide both sides of the equation \( V = lwh \) by \( lh \) (assuming \( l
eq 0 \) and \( h
eq 0 \)). This gives us:

$$ \frac{V}{lh} = \frac{lwh}{lh} $$

Simplifying the right - hand side, the \( l \) in the numerator and denominator cancels out, and the \( h \) in the numerator and denominator cancels out, leaving us with \( w=\frac{V}{lh} \).

Answer:

C. \( w = \frac{V}{lh} \)