Need a little Geometry help please. I don't really understand it. The answer I get isn't shown
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OpenStudy (anonymous):
ok ask away
OpenStudy (anonymous):
When I work it out \[V = \frac{ 1 }{ 3 }(10*10)(13) = 433.33\]
OpenStudy (anonymous):
what are the awnser choices?
OpenStudy (anonymous):
A. 600 ft3
B. 33.3 ft3
C. 1200 ft3
D. 400 ft3
OpenStudy (anonymous):
im doing it eright now
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OpenStudy (anonymous):
Ok, Thank you.
OpenStudy (anonymous):
i got D
OpenStudy (anonymous):
you find surface area, the area of the 4 triangles, and the square's area
OpenStudy (anonymous):
let @iGreen check it though
OpenStudy (anonymous):
@iGreen cme check his work im not 100% sure im right
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OpenStudy (anonymous):
@iGreen
OpenStudy (anonymous):
I was thinkig it was B or D so it helped
OpenStudy (igreen):
You want to find the Volume?
OpenStudy (anonymous):
the surface area
OpenStudy (anonymous):
Find the volume of the square pyramid shown. Round to the nearest tenth if necessary.
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OpenStudy (igreen):
Okay
OpenStudy (igreen):
Oh, we can find the height by using the pythagorean theorem.
OpenStudy (anonymous):
ya, but this guy is in 6th grade so use small words for him
OpenStudy (anonymous):
Ok, Please don't assume I am a guy. I am a female and older then a 6th grader. I am doing home schooling to get my HS diploma and haven't been in school for years.
OpenStudy (igreen):
Lol
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OpenStudy (anonymous):
oh im sorry about that, just cuz i learned this back in 6th grade
OpenStudy (igreen):
|dw:1426253162549:dw|
OpenStudy (anonymous):
igreen forget the mods just give him the awnser xD
OpenStudy (igreen):
I got 10 from the base of the square pyramid.
Now plug in what we know into the Pythagorean Theorem.
\(a^2 + b^2 = c^2\)
Where 'a' an 'b' are the two legs and 'c' is the hypotenuse.
\(a^2 + 5^2 = 13^2\)
Simplify 5^2 and 13^2, what do you get?
OpenStudy (anonymous):
i dont remember it being that complex...back in...6th grade...
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OpenStudy (igreen):
Lol, who said this was 6th grade?
OpenStudy (igreen):
@bitesize007 Could you simplify 5^2 and 13^2?
OpenStudy (anonymous):
25 and 169
OpenStudy (anonymous):
(guys behave zarkon is watching)
OpenStudy (igreen):
Yes, so we have:
\(a^2 + 25 = 169\)
Subtract 25 to both sides, what's 169 - 25?
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OpenStudy (anonymous):
144 but that's not one of the answers
OpenStudy (anonymous):
its not done
OpenStudy (anonymous):
yet
OpenStudy (igreen):
^^^^
OpenStudy (anonymous):
well brb someone is calling me :)
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OpenStudy (igreen):
Yes, so we have:
\(a^2 = 144\)
Find the square root of both sides:
\(a = \sqrt{144}\)
Find the square root of 144
OpenStudy (anonymous):
12
OpenStudy (igreen):
Yes, so the height is 12.
Formula for volume of a square pyramid:
\(V = \dfrac{1}{3}bh\)
Plug in what we know:
\(V = \dfrac{1}{3}(10)(12)\)
Simplify
OpenStudy (anonymous):
43.3
OpenStudy (anonymous):
igreen remains smarter then me :3
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OpenStudy (igreen):
No, I got something else, multiply again.
OpenStudy (anonymous):
i got 33.3
OpenStudy (anonymous):
40
OpenStudy (igreen):
Oh, wait that's base squared..
OpenStudy (igreen):
Multiply 1/3 * 10 * 10 * 12
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OpenStudy (igreen):
Well, just multiply 10 * 40
OpenStudy (anonymous):
400
OpenStudy (anonymous):
wait so D was right :3, cool lol
OpenStudy (anonymous):
igreen made me have second thoughts xD
OpenStudy (anonymous):
Thank you very much for both of your help.
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OpenStudy (igreen):
Yep, that's our answer :P
OpenStudy (igreen):
I actually just found out how to solve this right now..lol.