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Dallasb22

  • 3 years ago

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

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  1. johnsonshelby
    • 3 years ago
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    Si, si

  2. johnsonshelby
    • 3 years ago
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    What is the question?

  3. Dallasb22
    • 3 years ago
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    Find the Total Area of the Prism:

  4. Dallasb22
    • 3 years ago
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  5. Dallasb22
    • 3 years ago
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    @johnsonshelby

  6. johnsonshelby
    • 3 years ago
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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?

  7. Dallasb22
    • 3 years ago
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    Thats gross.

  8. Dallasb22
    • 3 years ago
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    I want to find total Area

  9. Dallasb22
    • 3 years ago
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    T.A. = ph + 2B

  10. johnsonshelby
    • 3 years ago
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    Rho as in density, right?

  11. Dallasb22
    • 3 years ago
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    Rho?

  12. johnsonshelby
    • 3 years ago
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    Greek letter p

  13. Dallasb22
    • 3 years ago
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    perimeter of the base times height of the prism + 2Base = Total Area

  14. johnsonshelby
    • 3 years ago
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    Well the 2B part is easy. 2(area of the triangles)

  15. Dallasb22
    • 3 years ago
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    Area of Triangle : 1/2 times 9 "correct" ?

  16. johnsonshelby
    • 3 years ago
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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.

  17. Dallasb22
    • 3 years ago
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    And to find the height we use pythag theorem correct?

  18. johnsonshelby
    • 3 years ago
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    So your new base would be 1.5 and the hypo would still be 3, yep

  19. Dallasb22
    • 3 years ago
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    So the height would be a^2?

  20. johnsonshelby
    • 3 years ago
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    c= 3, b=1.5, and yep a= a

  21. johnsonshelby
    • 3 years ago
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    so when you plug into pythag, you would get that

  22. Dallasb22
    • 3 years ago
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    So A= √6.75 ?

  23. johnsonshelby
    • 3 years ago
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    Yeah!

  24. johnsonshelby
    • 3 years ago
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    I have to get to my orgo class in 10 minutes, can you take it from here?

  25. Dallasb22
    • 3 years ago
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    So i find the area of the triangle and multiply it by 2 Then i add ?

  26. johnsonshelby
    • 3 years ago
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    add that to the (perimeter of the base x height), which would be (3+3+3)(6)

  27. Dallasb22
    • 3 years ago
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    Area of Triangle = 1.5√6.75 correct?

  28. phi
    • 3 years ago
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    btw, people would write \[\sqrt{6.75} \] as \[ \frac{3 \sqrt{3}}{2}\]

  29. Dallasb22
    • 3 years ago
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    Okay i got it. Thanks so much!! I just needed a refresh it's been awhile :)

  30. Dallasb22
    • 3 years ago
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    So it would be 4.5√3 / 2 @phi ?

  31. phi
    • 3 years ago
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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 \[ \frac{4}{9}\sqrt{3} \]

  32. phi
    • 3 years ago
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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)

  33. Dallasb22
    • 3 years ago
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    Other triangle?

  34. phi
    • 3 years ago
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    you have two triangles (the ends) and 3 "side faces" right?

  35. Dallasb22
    • 3 years ago
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    Yeah my bad, sorry

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