Question

Click the trashcan to clear all your answers. A pyramid has a regular hexagonal base with side lengths of 4 and L. A. =a slant height of 6. Find the total area of the pyramid.

Answer 1

Total area of pyramid = 113.57 sq units

Explanation:

Given that

Pyramid has a regular hexagonal with side, a = 4 units

Slant height = 6 units

To find: Total Area of pyramid = ?

Solution:

Total area of pyramid = Area of hexagon + Area of each triangular face

Area of hexagon is given as:

`A = 6 * (\sqrt3)/(4)a^2\\\Rightarrow A = 6 * (\sqrt3)/(4)4^2\\\\\Rightarrow A = 41.57\ sq\ units`

There are 6 triangular faces with base = 4 units and height as 6 units.

Area of 6 triangular faces:

`6 * (1)/(2) * Base* Height\\\Rightarrow 6 * (1)/(2) * 4* 6\\\\\Rightarrow 72\ sq\ units`

Total area of pyramid = 41.57 + 72 = 113.57 sq units