Mathematics
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OpenStudy (anonymous):
Surface area of triangular prism
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OpenStudy (anonymous):
OpenStudy (anonymous):
@e.mccormick ?
jimthompson5910 (jim_thompson5910):
can you identify or spot the individual faces of this 3D figure?
OpenStudy (anonymous):
Uhmmm what do you mean?
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jimthompson5910 (jim_thompson5910):
can you picture this as a real object that you can pick up and rotate around?
OpenStudy (anonymous):
I guess?
jimthompson5910 (jim_thompson5910):
how many faces does this 3D figure have?
OpenStudy (anonymous):
5
jimthompson5910 (jim_thompson5910):
correct, are you able to find the area of each face?
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OpenStudy (anonymous):
No that's where I need help at @jim_thompson5910
jimthompson5910 (jim_thompson5910):
ok let's just focus on the triangles for now
jimthompson5910 (jim_thompson5910):
The two triangles are the same (ie congruent) so we only need to find the area of 1 triangle and double it
jimthompson5910 (jim_thompson5910):
what is the area of one of the triangles?
OpenStudy (anonymous):
I'm honestly completely lost as to what to do to even find the area.
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jimthompson5910 (jim_thompson5910):
Area of triangle = (base*height)/2
jimthompson5910 (jim_thompson5910):
|dw:1425947901193:dw|
OpenStudy (anonymous):
I can't tell which is base and which is height in the triangles either though-
jimthompson5910 (jim_thompson5910):
it really doesn't matter as long as the base and height are perpendicular
jimthompson5910 (jim_thompson5910):
the base is ALWAYS perpendicular to the height (they meet at a right angle)
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OpenStudy (anonymous):
??
jimthompson5910 (jim_thompson5910):
|dw:1425947969567:dw|
jimthompson5910 (jim_thompson5910):
|dw:1425947985139:dw|
jimthompson5910 (jim_thompson5910):
do you see how I came up with that?
OpenStudy (anonymous):
not really-but ok
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OpenStudy (anonymous):
oh wait now i do
jimthompson5910 (jim_thompson5910):
again you kinda have to imagine picking this object and rotating it around (as if it were a real object in 3D space)
OpenStudy (anonymous):
yeah but how do i get the answer because I need to get this done asap ;-;
jimthompson5910 (jim_thompson5910):
what's the area of the triangle I drew last?
OpenStudy (anonymous):
24?
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jimthompson5910 (jim_thompson5910):
correct
jimthompson5910 (jim_thompson5910):
1 triangle area = 24
2 triangles area = 48
OpenStudy (anonymous):
so what do I do now?
jimthompson5910 (jim_thompson5910):
now we move onto the rectangles
jimthompson5910 (jim_thompson5910):
the top most face, what is the area of that face?