Question

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

Answer 1

Si, si

Answer 2

What is the question?

Answer 3

Find the Total Area of the Prism:

Answer 4

@johnsonshelby

Answer 5

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?

Answer 6

Thats gross.

Answer 7

I want to find total Area

Answer 8

T.A. = ph + 2B

Answer 9

Rho as in density, right?

Answer 10

Rho?

Answer 11

Greek letter p

Answer 12

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

Answer 13

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

Answer 14

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

Answer 15

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.

Answer 16

And to find the height we use pythag theorem correct?

Answer 17

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

Answer 18

So the height would be a^2?

Answer 19

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

Answer 20

so when you plug into pythag, you would get that

Answer 21

So A= √6.75 ?

Answer 22

Yeah!

Answer 23

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

Answer 24

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

Answer 25

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

Answer 26

Area of Triangle = 1.5√6.75 correct?

Answer 27

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

Answer 28

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

Answer 29

So it would be 4.5√3 / 2 @phi ?

Answer 30

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
\[ \frac{4}{9}\sqrt{3} \]

Answer 31

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)

Answer 32

Other triangle?

Answer 33

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

Answer 34

Yeah my bad, sorry