Answer:
Area of hexagonal pyramid = 113.57 unit²
Step-by-step explanation:
Area of hexagonal pyramid = Area of base + Area of six triangular slanting face.
Area of base = 6 x Area of equilateral triangle with side 4.
[tex]\texttt{Area of base = }6\times \frac{\sqrt{3}}{4}a^2=6\times \frac{\sqrt{3}}{4}\times 4^2=24\sqrt{3}unit^2[/tex]
[tex]\texttt{Area of six triangular slanting face = }6\times \frac{1}{2}\times ah=3\times 4\times 6=72unit^2[/tex]
Area of hexagonal pyramid = Area of base + Area of six triangular slanting face.
Area of hexagonal pyramid = 24√3 + 72 = 113.57 unit²
