I need some help with Geometry, Finding Total Area in Prisms.

- anonymous

I need some help with Geometry, Finding Total Area in Prisms.

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- anonymous

Si, si

- anonymous

What is the question?

- anonymous

Find the Total Area of the Prism:

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- anonymous

##### 1 Attachment

- anonymous

@johnsonshelby

- anonymous

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?

- anonymous

Thats gross.

- anonymous

I want to find total Area

- anonymous

T.A. = ph + 2B

- anonymous

Rho as in density, right?

- anonymous

Rho?

- anonymous

Greek letter p

- anonymous

perimeter of the base times height of the prism + 2Base = Total Area

- anonymous

Well the 2B part is easy. 2(area of the triangles)

- anonymous

Area of Triangle : 1/2 times 9 "correct" ?

- anonymous

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.

- anonymous

And to find the height we use pythag theorem correct?

- anonymous

So your new base would be 1.5 and the hypo would still be 3, yep

##### 1 Attachment

- anonymous

So the height would be a^2?

- anonymous

c= 3, b=1.5, and yep a= a

- anonymous

so when you plug into pythag, you would get that

- anonymous

So A= √6.75 ?

- anonymous

Yeah!

- anonymous

I have to get to my orgo class in 10 minutes, can you take it from here?

- anonymous

So i find the area of the triangle and multiply it by 2
Then i add ?

- anonymous

add that to the (perimeter of the base x height), which would be (3+3+3)(6)

- anonymous

Area of Triangle = 1.5√6.75 correct?

- phi

btw, people would write
\[\sqrt{6.75} \]
as
\[ \frac{3 \sqrt{3}}{2}\]

- anonymous

Okay i got it. Thanks so much!! I just needed a refresh it's been awhile :)

- anonymous

So it would be 4.5√3 / 2 @phi ?

- phi

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

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)

- anonymous

Other triangle?

- phi

you have two triangles (the ends) and 3 "side faces" right?

- anonymous

Yeah my bad, sorry

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