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anonymous

  • one year ago

Find the volume of the prism. 192 cu. ft. 64√(13) cu. ft. 96 cu. ft.

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  1. anonymous
    • one year ago
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    are those dimensions, or multiple choice answers?

  2. anonymous
    • one year ago
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    multi choice

  3. anonymous
    • one year ago
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  4. mathstudent55
    • one year ago
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    \(\Large V_{prism} = Bh\) where B = the area of the base, and h = height of the prism

  5. mathstudent55
    • one year ago
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    You have a triangular prism. The base is a triangle. To find the volume of the prism, you need to find the area of the triangular base and multiply it by the height of the prism.

  6. anonymous
    • one year ago
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    okay

  7. anonymous
    • one year ago
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    so From what i can see of it, it is 28 but I'm most likely wrong

  8. mathstudent55
    • one year ago
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    It's not 28. We'll do it together. Look at the triangular base. What is the area of the triangle below? |dw:1438106362527:dw|

  9. anonymous
    • one year ago
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    13?

  10. mathstudent55
    • one year ago
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    \(\Large A_{triangle} = \dfrac{bh}{2} \) How did you get 13? What operations did you do?

  11. mathstudent55
    • one year ago
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    That's why we are working together, so you'll understand it.

  12. anonymous
    • one year ago
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    operations? Guess I really missed a lot on this subject.....)

  13. mathstudent55
    • one year ago
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    The area of a triangle is the base times the height divided by 2. In your triangle, the base is 4 ft, and the height is 6 ft. What is 4 * 6 = ?

  14. anonymous
    • one year ago
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    24

  15. mathstudent55
    • one year ago
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    Operations are addition, subtraction, multiplication, division. Somehow you arrived at 13. I was just wondering how you got that number. Yes, 24 is correct. That is the base times the height. Now we divide that by 2. What is 24/2 = ?

  16. anonymous
    • one year ago
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    I added lol, i got 12

  17. mathstudent55
    • one year ago
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    Ok. 12 ft^2 is correct. The area of the base is 12 square feet.

  18. mathstudent55
    • one year ago
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    Now we have the area of the base, 12 ft^2. Now we use that number in the formula for the volume. The volume of a prism is the area of the base times the height of the prism. The area of the base is 12 ft=^2. The height of the prism is 8 ft. What is 12 ft^2 * 8 ft ?

  19. anonymous
    • one year ago
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    umm 1152??

  20. mathstudent55
    • one year ago
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    How did you get that? All you need to do is multiply 12 * 8 Then ft^2 * ft = ft^3, which are proper cubic units for a volume. Just multiply 12 * 8

  21. anonymous
    • one year ago
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    ohh i thought 12 was squared

  22. anonymous
    • one year ago
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    Im REALLY bad at this

  23. mathstudent55
    • one year ago
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    No. The units ft^2 are squared because 12 ft^2 is an area. Remember, we found the area of the base to be 12 ft^2.

  24. anonymous
    • one year ago
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    96

  25. anonymous
    • one year ago
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    so what do I do now with 96?

  26. mathstudent55
    • one year ago
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    Correct. Since it's a volume, and we are dealing with ft, the answer is V = 96 ft^3

  27. mathstudent55
    • one year ago
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    You can also write 96 ft^3 as 96 cu ft. It just means 96 cubic feet.

  28. anonymous
    • one year ago
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    okay thanks.. One more ?

  29. mathstudent55
    • one year ago
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    You're welcome. Sure, but pls start a new post.

  30. anonymous
    • one year ago
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    okay

  31. anonymous
    • one year ago
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    NM I have to later not working right now...

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