The volume of an octagonal prism is 486 cubic millimeters, If the area
of the base is 54 square millimeters, what is the height of the prism?

Hi again!!

For every regular prism its Volume is the product between the area of
the base and its height:

Volume = Base area x Height

From this formula we have that:

Height = Volume / Base area =
       = 486 mm^3 / 54 mm^2 =
       = 9 mm

The height of the octagonal prism is 9 milimeters.


I hope this helps. Feel free to request for a clarification if it is needed.

Regards.
livioflores-ga