Question

What is the total surface area of the pyramid?

Answer 1

Right Regular Pyramid Surface Area = (½ * Perimeter of Base * Slant Height) + Base AreaArea of a polygon = # sides * side^2 / 4 * tan(180 / #sides)Area = 6 * 9 / [4 * tan(30)]
Area = 54 / [4 * 0.57735]

Hexagon Area= 23.38 square meters

Lateral Area = (½ * Perimeter of Base * Slant Height)

Lateral Area = (.5* 6*3 * 6.54)

Lateral Area = .5* 6*3 * 6.54

Lateral Area = 58.86 square meters
TOTAL Area = 23.38 + 58.86 =82.24 square meters
Answer is D
Source:http://www.1728.org/volpyrmd.htm