Answer:
The volume of the pyramid is 450√3 cm^3
Step-by-step explanation:
The first thing to do here is calculate the area of the regular hexagon
Mathematically, the area of regular hexagon is;
A = 3 √3/2 * a^2
Here, a = 5cm
Thus, A = 3 √3/2 * 25
A = 75 √3/2 cm^2
Volume of pyramid = Area of hexagonal base * height
A = 75√3/2 * 12
A = 75√3 * 6
A = 450 √3
A = 450√3 cm^3
