Question

directions: find the missing dimension.
$l = 4m$
$w = 12m$
$h = ______$
$v = 128m^{3}$

Explanation:

Step1: Recall the volume formula for a rectangular prism

The volume formula for a rectangular prism is \(V = l\times w\times h\).

Step2: Solve for \(h\)

We can rewrite the formula as \(h=\frac{V}{l\times w}\).
Substitute \(l = 4m\), \(w = 12m\), and \(V = 128m^{3}\) into the formula:
\(h=\frac{128}{4\times12}=\frac{128}{48}=\frac{8}{3}\approx2.67m\)

Answer:

\(h=\frac{8}{3}m\approx2.67m\)