## bekah2297 3 years ago 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?

1. scarydoor

What do you mean by slant height?

2. bekah2297

i have no idea,this is on my geometry homework

3. bekah2297

736 is not an option though...

4. scarydoor

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!

5. SchoolSlacker

Can you give the options?

6. SchoolSlacker

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

7. bekah2297

224 in2 480 in2 800 in2 864 in2

8. bekah2297

this is lateral and surface area.

9. SchoolSlacker

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

10. SchoolSlacker

2x16x17+16x16

11. SchoolSlacker

=800

12. SchoolSlacker

b=base s=slant

13. phi

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

14. bekah2297

Thank you guys.

15. SchoolSlacker

Phi that is a complex formula :P

16. 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

17. phi

Take these things a little bit at a time.

18. SchoolSlacker

You must live a complicated life Phi :P

19. phi

No. Just take small steps. Can you find the area of the base (you know it is a square) with a side= 16

20. phi

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

21. SchoolSlacker

Phi who you teaching?

22. phi

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

23. SchoolSlacker

That must be i then, continue please :P

24. 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

25. 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)

26. SchoolSlacker

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

27. phi

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

28. SchoolSlacker

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

29. SchoolSlacker

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

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