Problema Solution

What is the total area of a hexagonal prism having an altitude of 6 feet and has edge on the base 3 feet?

Answer provided by our tutors

Given:

Altitude or Hight = 6ft

Base 3ft

 

First we need to find the apothem:


a = 3/2tan(3.14/6)

a= 3/1.15

a = 2.61

 

Using the formula, we will solve for the total area:

SA = 6as + 6sh

SA = 6(2.61)(3) + 6(3)(6)

SA = 46.98 + 108

SA = 154.98 square feet

 

Where:

a = apothem length

s = side length

n = #sides

h = height