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## Dallasb22 Group Title I need some help with Geometry, Finding Total Area in Prisms. one year ago one year ago

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1. johnsonshelby Group Title

Si, si

2. johnsonshelby Group Title

What is the question?

3. Dallasb22 Group Title

Find the Total Area of the Prism:

4. Dallasb22 Group Title

5. Dallasb22 Group Title

@johnsonshelby

6. johnsonshelby Group Title

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?

7. Dallasb22 Group Title

Thats gross.

8. Dallasb22 Group Title

I want to find total Area

9. Dallasb22 Group Title

T.A. = ph + 2B

10. johnsonshelby Group Title

Rho as in density, right?

11. Dallasb22 Group Title

Rho?

12. johnsonshelby Group Title

Greek letter p

13. Dallasb22 Group Title

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

14. johnsonshelby Group Title

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

15. Dallasb22 Group Title

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

16. johnsonshelby Group Title

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.

17. Dallasb22 Group Title

And to find the height we use pythag theorem correct?

18. johnsonshelby Group Title

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

19. Dallasb22 Group Title

So the height would be a^2?

20. johnsonshelby Group Title

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

21. johnsonshelby Group Title

so when you plug into pythag, you would get that

22. Dallasb22 Group Title

So A= √6.75 ?

23. johnsonshelby Group Title

Yeah!

24. johnsonshelby Group Title

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

25. Dallasb22 Group Title

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

26. johnsonshelby Group Title

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

27. Dallasb22 Group Title

Area of Triangle = 1.5√6.75 correct?

28. phi Group Title

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

29. Dallasb22 Group Title

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

30. Dallasb22 Group Title

So it would be 4.5√3 / 2 @phi ?

31. phi Group Title

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 $\frac{4}{9}\sqrt{3}$

32. phi Group Title

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)

33. Dallasb22 Group Title

Other triangle?

34. phi Group Title

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

35. Dallasb22 Group Title

Yeah my bad, sorry