I don't know how to find the area of the base for this pyramid, and without the area of the base, I can't find the volume.

I dont know how to find the area of the base for this pyramid and without the area of the base I cant find the volume class=


Answer :

Answer:

V = 205 Km³

Step-by-step explanation:

The volume (V) of a pyramid is calculated as

• V = [tex]\frac{1}{3}[/tex] Ah ( A is the area of the base and h the height )

The area (A) of a regular polygon is

• A = [tex]\frac{1}{2}[/tex] pa ( p is the perimeter and a the apothem )

An apothem is a segment that joins the polygon's centre to the midpoint of any side and is perpendicular to that side.

here perimeter p = 5 × 6 Km = 30 Km and apothem = 4.1 Km

Then

A = [tex]\frac{1}{2}[/tex] × 30 × 4.1 = 15 × 4.1 = 61.5 Km² and h = 10 Km

Then

V = [tex]\frac{1}{3}[/tex] × 61.5 × 10 = [tex]\frac{1}{3}[/tex] × 615 = 205 Km³