Find the surface area of a right regular hexagonal pyramid with 2cm sides and 7cm slant height.  I've been trying to figure this out for days. I just don't get it.  Please help!
in Geometry Answers by

Your answer

Your name to display (optional):
Privacy: Your email address will only be used for sending these notifications.
Anti-spam verification:
To avoid this verification in future, please log in or register.

2 Answers

Each side of the pyramid is divided into two right triangles with base = 3/2 and hypotenuse of slant height. The height of the triangle is foung using the pythagorean theorem:

7^2 = 1^2 + h^2

49 - 1 = 48 = h^2

h = 6.93cm

Area of each triangle:

A = 1/2(b)(h)

A = 1/2(1)(6.93) = 3.46cm^2

There are 12 of these triangles in the surface of the pyramid:

12(3.46) = 41.6cm^2 = Surface Area

If you wish to find the area of the base:

A = (3SQR3/2)s^2   where s = side length

A ~ 2.598(2 ^2) = 10.4cm^2 = Base Area
by Level 6 User (23.1k points)
use the formula bxhx6= 2x6x7 = 84 cm2
by

Related questions

1 answer
asked Nov 22, 2011 in Algebra 1 Answers by anonymous | 1.3k views
1 answer
asked Apr 30, 2013 in Algebra 1 Answers by anonymous | 1.1k views
Welcome to MathHomeworkAnswers.org, where students, teachers and math enthusiasts can ask and answer any math question. Get help and answers to any math problem including algebra, trigonometry, geometry, calculus, trigonometry, fractions, solving expression, simplifying expressions and more. Get answers to math questions. Help is always 100% free!
87,551 questions
99,628 answers
2,417 comments
441,186 users