Calcula el volumen de un piramide con base un hexágono regular de lado 5 cm y altura 12 cm.

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