Question

A regular hexagonal pyramid has a base area of 29 in2  and a lateral area of 210 in2. What is the surface area of the hexagonal pyramid?

Answer 1

A=239in²
AL Lateral surface area

in²
AB Base area

in²
h
a
h
a
a
A
b
A
f
Unit Conversion:
AL=210in²
AB=29in²
Using the formulas
A=33
2a2+3ah2+3a2
4
AB=33
2a2
AL=3ah2+3a2
4
Solving forA
A=AL2+AB=2102+29=239in²