anonymous
  • anonymous
A square pyramid has a slant height of 17 inches and a height of 15 inches. What is its surface area if the square base has sides of length 16 inches?
Mathematics
katieb
  • katieb
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anonymous
  • anonymous
What do you mean by slant height?
anonymous
  • anonymous
i have no idea,this is on my geometry homework
anonymous
  • anonymous
736 is not an option though...

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anonymous
  • anonymous
I suggest going through your notes and figuring out what slant height is. Or searching on the internet somewhere. It's been my experience that trying to work out a maths problem when I don't know what the words mean is very hard!
anonymous
  • anonymous
Can you give the options?
anonymous
  • anonymous
What have you been learning so i know which method we are aiming for
anonymous
  • anonymous
224 in2 480 in2 800 in2 864 in2
anonymous
  • anonymous
this is lateral and surface area.
anonymous
  • anonymous
The formula you are looking for is 2bs+b^2
anonymous
  • anonymous
2x16x17+16x16
anonymous
  • anonymous
=800
anonymous
  • anonymous
b=base s=slant
phi
  • phi
Here is the formula http://en.wikipedia.org/wiki/Pyramid_(geometry)#Surface_area
anonymous
  • anonymous
Thank you guys.
anonymous
  • anonymous
Phi that is a complex formula :P
phi
  • phi
Find the area of the base (the bottom) which is a square 16*16 find the area of the sides. this is Perimeter of the base/2 times slant height Perimeter is 4 times the base side= 4*16= 64 64/2= 32 so 32*17 for the sides
phi
  • phi
Take these things a little bit at a time.
anonymous
  • anonymous
You must live a complicated life Phi :P
phi
  • phi
No. Just take small steps. Can you find the area of the base (you know it is a square) with a side= 16
phi
  • phi
Can you find the perimeter of the base? 4* side = 4*16
anonymous
  • anonymous
Phi who you teaching?
phi
  • phi
The formula says Perimeter/2 so 64/2 = 32 *who ever is curious
anonymous
  • anonymous
That must be i then, continue please :P
phi
  • phi
Area = Base area + P*S/2 where we already figured out Base area= 256 P is perimeter , we got 4*16= 64 P/2 =32 S is given as 17 so Area = 256 + 32*17 = 800
phi
  • phi
It is no harder than following a recipe to cook a meal (actually easier, because you can't hurt yourself when dicing up the food)
anonymous
  • anonymous
A question to your Highness, Isn't my formula less time consuming
phi
  • phi
It looks fine. The important thing is (1) remember it (2) be able to use it.
anonymous
  • anonymous
AyeAye Capt'n, Interesting techniques yours. Reminds me of someone cant remember who ::P
anonymous
  • anonymous
Thanks for the intriguing method, it is easier to understand if your not into geometry

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