Remember that the volume of a pyramid is:
[tex]V=\frac{1}{3}A_{}h[/tex]
Where A is the area of the base.
Now, we have a pentagon as a base. let's calculate the area by dividing it into 5 triangles, as following:
This way, the area is:
[tex]5\cdot\frac{14\cdot10}{2}=350[/tex]
Using this in the formula, we get:
[tex]V=\frac{1}{3}\cdot350\cdot35=4083.33[/tex]
Thereby, the volume of the pentagonal pyramid is 4083.33 cubic milimeters.
