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anonymous

  • one year ago

1. Describe the process for calculating the volume of a pyramid. Use complete sentences. 2. Pyramid A is a square pyramid with a base side length of 18 inches and a height of 9 inches. Pyramid B has a volume of 3,136 cubic inches. How many times bigger is the volume of pyramid B than pyramid A? Give your answer as a percent. Provide an explanation and proof for your answer to receive full credit.

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  1. anonymous
    • one year ago
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    3. The coordinates A(0, 0), B(0, 3), C(4, 3) and D(4, 0) are graphed and connected together. What 3-dimensional shape will be created when this shape is rotated about the y-axis? Provide an explanation and proof for your answer to receive full credit.

  2. princeharryyy
    • one year ago
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    |dw:1434744254112:dw|

  3. princeharryyy
    • one year ago
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    h = height; l= slant length; say base = b; let area of base = A, perimeter of the figure be p

  4. princeharryyy
    • one year ago
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    the the volume of the figure is given by Volume of pyramid = 1/3 * area of base *slant height Volume of pyramid =1/3 *A*l

  5. princeharryyy
    • one year ago
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    are you getting it @emilybbydoll

  6. anonymous
    • one year ago
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    yes just taking notes! @princeharryyy

  7. princeharryyy
    • one year ago
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    |dw:1434744708965:dw|

  8. anonymous
    • one year ago
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    okay so I'm trying to plug everything in but it says the pyramid is squared, it wouldn't really have five points like how you drew o: I'm a little confused on that

  9. princeharryyy
    • one year ago
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    ok no big deal change the base to square

  10. princeharryyy
    • one year ago
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    still the concept remains same

  11. princeharryyy
    • one year ago
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    |dw:1434744852537:dw|

  12. princeharryyy
    • one year ago
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    just the figure changes a little bit I was giving you an example

  13. princeharryyy
    • one year ago
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    base can be any figure like rectangle or square or rhombus doesn't matter the area of the base changes according to the base figure

  14. princeharryyy
    • one year ago
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    even this pyramid will have a height H(can be given in a question) and slant height l(that might be given in a question)

  15. princeharryyy
    • one year ago
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    I hope u are getting it

  16. princeharryyy
    • one year ago
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    so for the second part we need to calculate the area of the base that is area of the square

  17. princeharryyy
    • one year ago
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    first

  18. princeharryyy
    • one year ago
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    as side length is given so area of base of pyramid A = 18*18 = 324

  19. anonymous
    • one year ago
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    |dw:1434744835196:dw|

  20. princeharryyy
    • one year ago
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    volume of pyramid A = 324 *9 =2916cc

  21. princeharryyy
    • one year ago
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    i.e. area*h

  22. princeharryyy
    • one year ago
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    so, (2916/3,136)*100 will give the required percentage = 92.98%

  23. princeharryyy
    • one year ago
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    so, pyramid B is approximately 7% bigger than pyramid A

  24. princeharryyy
    • one year ago
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    @emilybbydoll

  25. princeharryyy
    • one year ago
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    wait wait wait @emilybbydoll

  26. princeharryyy
    • one year ago
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    I forgot to divide the area of the pyramid by 3 that was in the formula

  27. princeharryyy
    • one year ago
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    so, volume of pyramid A will be 972 cc not 2916, so, pyramid A/ Pyramid B = (972/3,136 )*100 = 31% so, final answer is => pyramid B hass 69% bigger volume than pyramid A @emilybbydoll

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