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Sunshine447

The figure below shows two similar right triangular prisms. What is the volume of Prism B rounded to the nearest hundredth cubic unit?

  • one year ago
  • one year ago

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  1. Sunshine447
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    @phi

    • one year ago
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    @Agent_Sniffles @amistre64 @jim_thompson5910 @Hero

    • one year ago
  3. phi
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    two similar right triangular prisms. SIMILAR means that the ratio of their sides are the same number for example, look at the shortest side of the big prism and divide it by the length of the shortest side in the smaller prism what do you get?

    • one year ago
  4. Sunshine447
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    .56

    • one year ago
  5. Sunshine447
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    or 1.8... idk which

    • one year ago
  6. phi
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    I meant 9/6 = 3/2 or 1.5 now look at the other leg: the longer side of the big prism is 10.5 divide this by the corresponding side of the other prism what do you get?

    • one year ago
  7. Sunshine447
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    ohhh okay

    • one year ago
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    1.5

    • one year ago
  9. phi
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    now what do you think the (unknown) height (call it h) divided by 5 is ? h/5 = 1.5 (the same ratio) now find h

    • one year ago
  10. Sunshine447
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    7.5?

    • one year ago
  11. phi
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    yes. why the ? Is your calculator broken? But now you can find the volume of the big prism volume of Prism B is the area of its base (it's a triangle) times its height (just found to be 7.5) can you find the area of the base? then multiply by the height 7.5 to get the volume

    • one year ago
  12. Sunshine447
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    how do i find the area of the base?

    • one year ago
  13. phi
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    didn't you just do the area of a triangle in the last question?

    • one year ago
  14. Sunshine447
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    is it b*h/2? My lesson isn't very clear on what's what....

    • one year ago
  15. phi
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    yes base times height divided by 2 base is one of the legs, the height (or altitude) is the line perpendicular to the base . The height makes a 90 angle with the base. In your picture, that little square in the corner of the 2 legs means 90 deg so your base and height are the 2 legs in the triangle.

    • one year ago
  16. Sunshine447
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    the base is 47.25 then. Right?

    • one year ago
  17. phi
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    Examples |dw:1349210955962:dw|

    • one year ago
  18. phi
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    base is 47.25 then. Right? I would say area of the base (of the prism) (there is also the base of the triangle, which is just 1 leg) Area of the base is 0.5*9*10.5= 47.25 now find the volume by multiplying that by the height of the prism

    • one year ago
  19. Sunshine447
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    didnt you just do that?

    • one year ago
  20. Sunshine447
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    or do i multiply 47.35*9?

    • one year ago
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    *47.25 sry typo

    • one year ago
  22. phi
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    don't lose track of what we are doing 1) we found the h using the idea of similar figures. h= 7.5 2) we found the area of the base of the prism A= 47.25 3) we find the volume by multiplying A*h

    • one year ago
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    354.375

    • one year ago
  24. Sunshine447
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    or 354.38 if we round up

    • one year ago
  25. phi
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    This question took a few steps, and you need to know a few facts...

    • one year ago
  26. Sunshine447
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    ok

    • one year ago
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