Question

which is the correct substitution for finding the length of the prism?
$v = lwh$
$230 = lcdot8\frac{1}{2}cdot3\frac{1}{2}$
$v = lwh$
$v = 230cdot8\frac{1}{2}cdot3\frac{1}{2}$
$v = lwh$
$v = lcdot8\frac{1}{2}cdot3\frac{1}{2}$
$v = lwh$
$230 = lcdot8\frac{1}{2}cdot3\frac{1}{2}$

Explanation:

Step1: Analyze the volume formula

The volume formula of a rectangular prism is \(V = lwh\) (where \(V\) is volume, \(l\) is length, \(w\) is width, and \(h\) is height).

Step2: Substitute the known values

Given \(V = 230\), \(w=8\frac{1}{2}\), \(h = 3\frac{1}{2}\). Substituting into \(V=lwh\) gives \(230=l\times8\frac{1}{2}\times3\frac{1}{2}\)

Answer:

\(230 = l\times8\frac{1}{2}\times3\frac{1}{2}\) (the fourth option)