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?

- anonymous

- katieb

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- anonymous

What do you mean by slant height?

- anonymous

i have no idea,this is on my geometry homework

- anonymous

736 is not an option though...

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## More answers

- 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

Can you give the options?

- anonymous

What have you been learning so i know which method we are aiming for

- anonymous

224 in2
480 in2
800 in2
864 in2

- anonymous

this is lateral and surface area.

- anonymous

The formula you are looking for is 2bs+b^2

- anonymous

2x16x17+16x16

- anonymous

=800

- anonymous

b=base s=slant

- phi

Here is the formula
http://en.wikipedia.org/wiki/Pyramid_(geometry)#Surface_area

- anonymous

Thank you guys.

- anonymous

Phi that is a complex formula :P

- 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

Take these things a little bit at a time.

- anonymous

You must live a complicated life Phi :P

- 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

Can you find the perimeter of the base? 4* side = 4*16

- anonymous

Phi who you teaching?

- phi

The formula says Perimeter/2 so 64/2 = 32
*who ever is curious

- anonymous

That must be i then, continue please :P

- 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

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

A question to your Highness, Isn't my formula less time consuming

- phi

It looks fine. The important thing is (1) remember it (2) be able to use it.

- anonymous

AyeAye Capt'n, Interesting techniques yours. Reminds me of someone cant remember who ::P

- anonymous

Thanks for the intriguing method, it is easier to understand if your not into geometry

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