Mathematics
7 Online
OpenStudy (anonymous):
A pyramid has a height of 17 in. and a surface area of 30 in^2. Find the surface area of another pyramid with a height of 13 in.
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OpenStudy (anonymous):
Medal will be given to whoever has right answer!
OpenStudy (mertsj):
180
OpenStudy (anonymous):
Thank you! How did you get that?
OpenStudy (mertsj):
Well, the faces of the pyramid are triangles. The area of a triangle is 1/2 bh. If the height is doubled, the area will be doubled.
OpenStudy (anonymous):
Thank you!
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OpenStudy (mertsj):
yw
OpenStudy (anonymous):
I think it is 180, @jim_thompson5910
jimthompson5910 (jim_thompson5910):
if each dimension is doubled, then the area is quadrupled
jimthompson5910 (jim_thompson5910):
so the new area will be 4 times the original area
OpenStudy (anonymous):
Okay cool! So the answer is 180!
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jimthompson5910 (jim_thompson5910):
no
OpenStudy (anonymous):
what! So it has to be 360, then
jimthompson5910 (jim_thompson5910):
the original surface area is 90
the new surface area is 4 times that
jimthompson5910 (jim_thompson5910):
yeah 360
OpenStudy (anonymous):
okay good. Thank you!
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OpenStudy (anonymous):
Sorry I cannot give you a medal! I already gave it to you.
jimthompson5910 (jim_thompson5910):
its fine
OpenStudy (anonymous):
**I meant someone else! Sorry!
OpenStudy (mertsj):
I gave him one because he is right and I was wrong. I overlooked the similar to part.
Thanks jim.
jimthompson5910 (jim_thompson5910):
yw