Question

I got this answer wrong,, please help mewhat is the volume of the pentagonal pyramid if apothem = 10round to the nearest tenth.

Answer 1

Remember that the volume of a pyramid is:

`V=(1)/(3)A_{}h`

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:

`5\cdot(14\cdot10)/(2)=350`

Using this in the formula, we get:

`V=(1)/(3)\cdot350\cdot35=4083.33`

Thereby, the volume of the pentagonal pyramid is 4083.33 cubic milimeters.