Question

I NEED HELP FAST PLEASE!!! A pyramid has a regular hexagonal base with the side lengths of 4 and a slant height of 6. Find the total area of the pyramid.

Answer 1

The Total area would = 41.57 + 72 = 113.57
so that means 113.57 is the answer

Answer 2

The area of a hexagonal pyramid can be calculated as follows ;
Total Area = area of hexagonal base + area of lateral faces
Lateral faces are - 6 triangular faces
Area of lateral faces = 1/2 x perimeter x slant height
Perimeter = sum of the sides of hexagon
= 4 + 4 + 4 + 4 + 4 + 4
= 24
Slant height - 6
Area of lateral faces = 1/2 x 6 x 24
= 72
Area of base is area of the hexagon
Area of hexagon can be calculated using the following equation ;
Area = 3(√3)/2 side²
= 41.57


Total area = 41.57 + 72
= 113.57