Answer:
180 cubic millimeters
Step-by-step explanation:
The volume of a hexagonal prism can be found with the following formula:
[tex]V=\frac{3\sqrt{3}}{2} a^{2} h[/tex]
The area of a hexagon is:
[tex]A= \frac{3\sqrt{3}}{2}a^{2}[/tex]
Upon, closer inspection, you'll notice that the formula for area of a hexagon is in the formula for volume of a hexagonal prism.
We already know the area of the hexagon base, so we can just plug it in into the volume formula.
V=30h
We ale aso know the height, which we can plug in.
V=30(6)
Simplify.
V=180
