SOLUTION: Hello I have a question about surface area. The problem has a picture of a hexagonal pyramid with a slant height of 12cm and a side length of 4cm. The question says to find the sur

Algebra ->  Surface-area -> SOLUTION: Hello I have a question about surface area. The problem has a picture of a hexagonal pyramid with a slant height of 12cm and a side length of 4cm. The question says to find the sur      Log On


   

Question 872078: Hello I have a question about surface area. The problem has a picture of a hexagonal pyramid with a slant height of 12cm and a side length of 4cm. The question says to find the surface area. I have used the formula, Google, and my parents but no one gets any of the answer options. It is A.144cm B.144+24 radical 3cm C.196cm and D.288cm. I would love some additional help!
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Each triangle has a height of 12 and a base of 4.
The area of each triangle is A=%281%2F2%29bh=%281%2F2%29%284%29%2812%29=24
There are 6 triangles.
So then,
SA=6%2824%29=144cm%5E2 That's answer a).
I'm assuming you don't include the area of the hexagonal base (?).
The hexagonal base would add A%5Bhex%5D=%283%2F2%29sqrt%283%29%2A%284%29%5E2=24%2Asqrt%283%29
SA=144%2B24%2Asqsrt%283%29
But if you add that you'll get answer b).
So I guess you need to make the choice.