Question

the volume of this rectangular prism is 8.58 cubic millimeters. what is the value of z? 6.6 mm 1 mm z = millimeters

Explanation:

Step1: Recall volume formula

The volume formula for a rectangular prism is $V = l\times w\times h$. Here, $l = 6.6$ mm, $w = 1$ mm, $h=z$ mm and $V = 8.58$ $mm^{3}$. So, $V=6.6\times1\times z$.

Step2: Solve for z

We have the equation $8.58=6.6\times1\times z$. To find $z$, we use the formula $z=\frac{V}{l\times w}$. Substitute $V = 8.58$, $l = 6.6$ and $w = 1$ into the formula: $z=\frac{8.58}{6.6\times1}$.
$z = 1.3$

Answer:

$1.3$