Dallasb22
I need some help with Geometry, Finding Total Area in Prisms.
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johnsonshelby
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Si, si
johnsonshelby
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What is the question?
Dallasb22
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Find the Total Area of the Prism:
Dallasb22
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Dallasb22
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@johnsonshelby
johnsonshelby
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Find the area of each side and add together... that's surface area
I'm having a brain fart haha
What is it you want to find?
Dallasb22
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Thats gross.
Dallasb22
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I want to find total Area
Dallasb22
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T.A. = ph + 2B
johnsonshelby
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Rho as in density, right?
Dallasb22
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Rho?
johnsonshelby
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Greek letter p
Dallasb22
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perimeter of the base times height of the prism + 2Base = Total Area
johnsonshelby
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Well the 2B part is easy. 2(area of the triangles)
Dallasb22
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Area of Triangle : 1/2 times 9 "correct" ?
johnsonshelby
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1/2 time base of the triangle times the height of the triangle. Because you are only given the base, you need to find the height.
Dallasb22
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And to find the height we use pythag theorem correct?
johnsonshelby
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So your new base would be 1.5 and the hypo would still be 3, yep
Dallasb22
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So the height would be a^2?
johnsonshelby
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c= 3, b=1.5, and yep a= a
johnsonshelby
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so when you plug into pythag, you would get that
Dallasb22
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So A= √6.75 ?
johnsonshelby
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Yeah!
johnsonshelby
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I have to get to my orgo class in 10 minutes, can you take it from here?
Dallasb22
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So i find the area of the triangle and multiply it by 2
Then i add ?
johnsonshelby
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add that to the (perimeter of the base x height), which would be (3+3+3)(6)
Dallasb22
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Area of Triangle = 1.5√6.75 correct?
phi
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btw, people would write
\[\sqrt{6.75} \]
as
\[ \frac{3 \sqrt{3}}{2}\]
Dallasb22
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Okay i got it. Thanks so much!! I just needed a refresh it's been awhile :)
Dallasb22
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So it would be 4.5√3 / 2 @phi ?
phi
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generally you don't mix decimals and fractions i.e. 4.5/2
If you have a multiple choice you probably would see the answer as a pure fraction
\[ \frac{4}{9}\sqrt{3} \]
phi
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double that for the other triangle
now you have 3 faces that all look the same size 3x6
3 faces each 18 = 54
plus the two triangles
8/9 sqrt(3)
Dallasb22
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Other triangle?
phi
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you have two triangles (the ends) and 3 "side faces" right?
Dallasb22
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Yeah my bad, sorry