Question

The base of a regular pyramid is a hexagon

12 cm 30°
a
What is the area of the base of the pyramid?

Answer 1

Below in bold.

Explanation:

The hexagon is made up of 6 equilateral triangles.

So the Base = 12 cm.

Height a = 12 cos 30 = 10.392 cm

So area of 1 triangle = 1/2 * 12 * 10.392 cm^2

- and total area = 6 * 1/2 * 12 * 10.392

= 36 * 10.392

= 374.11 cm^2 to the nearest hundredth.