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anonymous

  • one year ago

The two square pyramids are similar. Find the total volume of both pyramids if the ratio of their surface areas is 9/16. A. 545 inches cubed B. 546 inches cubed C. 554 inches cubed D. 564 inches cubed

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  1. anonymous
    • one year ago
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  2. anonymous
    • one year ago
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    @Hero @nincompoop

  3. anonymous
    • one year ago
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    please help

  4. Hero
    • one year ago
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    @pooja195, are you going to help?

  5. anonymous
    • one year ago
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    I really need desperate help. I'm horrible at ratios and anything having to do with similar figures.

  6. Hero
    • one year ago
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    It's getting a bit late for me.

  7. pooja195
    • one year ago
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    V1 / V2 = (L1 / L2)^3

  8. anonymous
    • one year ago
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    uhhhhhhh

  9. anonymous
    • one year ago
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    drawing a blank :(

  10. pooja195
    • one year ago
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    lol v=volume l=length of a dimension

  11. anonymous
    • one year ago
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    i know that i just dont know how to put the numbers and that formula together

  12. pooja195
    • one year ago
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    gimmie a sec...

  13. anonymous
    • one year ago
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    ok

  14. pooja195
    • one year ago
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    Let's use volume formula of pyramid V = 1/3 * base area * height

  15. pooja195
    • one year ago
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    V = 1/3 * base area * height V1 = 1/3 * (x)^2 * 6 V2 = 1/3 * (12)^2 * y

  16. anonymous
    • one year ago
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    so what would be y?

  17. pooja195
    • one year ago
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    look http://prntscr.com/837zqu

  18. pooja195
    • one year ago
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    x is the side length of the base of the small pyramid y is the height of the larger pyramid

  19. anonymous
    • one year ago
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    okay so how do i figure out the y then, im sorry i sound dumb im just confused. i know the formula but how do i do it wen i dont know the y

  20. pooja195
    • one year ago
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    lol you're not dumb! :) Here see if you understand this :) Let's use volume formula of pyramid Volume = 1/3 * base area * height Given: V1 = 1/3 * (x)^2 * 6 V2 = 1/3 * (12)^2 * y We can find the scale factor A1 / A2 = (L1 / L2 ) ^2 = 9/16 L1 / L2 = √ 9/16 = 3/4

  21. anonymous
    • one year ago
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    ok so the scale factor is 3/4. what's next

  22. pooja195
    • one year ago
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    lol you're not dumb! :) Here see if you understand this :) Let's use volume formula of pyramid Volume = 1/3 * base area * height Given: V1 = 1/3 * (x)^2 * 6 V2 = 1/3 * (12)^2 * y We can find the scale factor A1 / A2 = (L1 / L2 ) ^2 = 9/16 L1 / L2 = √ 9/16 = 3/4 L1 = 3/4 * L2 Let L2 = y , then L1= 3/4* L2 x= 3/4*y V1 = 1/3 * (3/4 *y ) * 6 V2 = 1/3 * (12)^2 * y

  23. pooja195
    • one year ago
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    The scale factor is 3/4 to go from the bigger pyramid to the smaller pyramid

  24. pooja195
    • one year ago
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    understood so far?

  25. anonymous
    • one year ago
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    No... i'm sorry. everything is confusing me..

  26. pooja195
    • one year ago
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    We can find the scale factor A1 / A2 = (L1 / L2 ) ^2 = 9/16 L1 / L2 = √ 9/16 = 3/4 The scale factor is 3/4 to go from the bigger pyramid length dimension to the smaller pyramid length dimension. The scale factor is 4/3 to go from the smaller pyramid length dimension to the bigger pyramid length dimension. V1 = 1/3 * (3/4 * 12) ^2 * 6 V2 = 1/3 * (12)^2 * (6 * 4/3)

  27. pooja195
    • one year ago
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    Is that better?

  28. anonymous
    • one year ago
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    I got 384

  29. anonymous
    • one year ago
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    for V2

  30. pooja195
    • one year ago
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    good how bout V1?

  31. anonymous
    • one year ago
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    24

  32. pooja195
    • one year ago
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    Not quite... V1 = 1/3 * (3/4 * 12) ^2 * 6= 162

  33. anonymous
    • one year ago
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    okay so what do i do after that

  34. anonymous
    • one year ago
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    if you don't mind kind of fast forwarding a little bit im on a timed assignment. i dont mean to sound rushy :(

  35. pooja195
    • one year ago
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    dont worry :-) we're almost done! :D 384+162=?

  36. anonymous
    • one year ago
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    546

  37. pooja195
    • one year ago
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    good job and that would be our final answer :)

  38. anonymous
    • one year ago
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    thank you so much

  39. pooja195
    • one year ago
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    ;) no probs ^-^

  40. pooja195
    • one year ago
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    \(~~~~~~~~~~~~~~~~~~~~~~~~~~\Huge{\color{red}{\heartsuit}\color{orange}{\bigstar}\color{yellow}{\heartsuit}\color{green}{\bigstar}\color{blue}{\heartsuit}\color{purple}{\bigstar}\color{hotpink}{\heartsuit}}\)\(\Huge\bf\color{#FF0000}W\color{#FF4900}e\color{#FF9200}l\color{#FFDB00}c\color{#FFff00}o\color{#B6ff00}m\color{#6Dff00}e\color{#24ff00}~\color{#00ff00}t\color{#00ff49}o\color{#00ff92}~\color{#00ffDB}O\color{#00ffff}p\color{#00DBff}e\color{#0092ff}n\color{#0049ff}S\color{#0000ff}t\color{#2400ff}u\color{#6D00ff}d\color{#B600ff}y\color{#FF00ff}!\)\(~~~~~~~~~~~~~~~~~~~~~~~~~~\Huge{\color{red}{\heartsuit}\color{orange}{\bigstar}\color{yellow}{\heartsuit}\color{green}{\bigstar}\color{blue}{\heartsuit}\color{purple}{\bigstar}\color{hotpink}{\heartsuit}}\)\(\Large\bf\color{Lime}{Please,\ don't\ hesitate\ to\ ask\ questions!}\)\(\Large\bf\color{magenta}{We're\ here\ to\ help!}\Large\color{magenta}{\ddot\smile}\)

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