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anonymous

  • one year ago

Find the length of the base of a square pyramid if the volume is 576 cubic inches and has a height of 3 inches. 4 inches 8 inches 16 inches 24 inches

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  1. Jack1
    • one year ago
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    Volume of a pyramid = ( Length x Width x Height ) / 3 if the base is a square: Length = width so Volume of a pyramid = ( Length x Length x Height ) / 3 \(\Large V = \frac{L \times L \times H}3\) if you have the volume and the height... can you solve this for Length?

  2. anonymous
    • one year ago
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    would the length be 576 and the height 3?

  3. Jack1
    • one year ago
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    no, V = 576 and h = 3

  4. anonymous
    • one year ago
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    oh ok sorry um.. im just wondering idk what length would be because i only have volume and height

  5. Jack1
    • one year ago
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    sók... yep, we're trying to solve the length if u plug the values for volume and height into the above equation... you should be left with L^2 = ... a number

  6. anonymous
    • one year ago
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    ok 576/3 would be 192 right ??

  7. Jack1
    • one year ago
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    \(\Large V = \frac{L \times L \times H}3\) \(\Large 576 = \frac{L \times L \times 3}3\) \(\Large 576 = \frac{L \times L \times \color{red}{3}} {\color{red}{3}}\) \(\Large 576 = L \times L \) \(\Large 576 = L^2 \) \(\Large \sqrt{576} = \sqrt{L^2} \) \(\Large \sqrt{576} = L \)

  8. Jack1
    • one year ago
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    sorry does this make it clearer tho?

  9. anonymous
    • one year ago
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    a little bit im still kinda confused bu ti some what understand

  10. Jack1
    • one year ago
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  11. Jack1
    • one year ago
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    does the picture help? where abouts are you getting stuck and I'll try to explain it better

  12. anonymous
    • one year ago
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    i was just confused at the part of where we had to find the length. but that chart u showed does help a little

  13. Jack1
    • one year ago
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    cools... so how'd u go at solving, did u get an answer for L = ...?

  14. anonymous
    • one year ago
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    no i was still figuring it out

  15. anonymous
    • one year ago
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    @Jack1 i dont understand what to next in the equation i keep getting confused

  16. Jack1
    • one year ago
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    ok, well lets back it up, and you tell me which step ur having trouble with and we'll go through it together so just say yes or no after each step, and well either keep going or explain more so 1. \(\Large V = \frac{L \times W \times H}3\) 2. "base of a square pyramid"... so from question, we know it's a square pyramid so the base is a square Length = Width new equation: \(\Large V = \frac{L \times L \times H}3\) all cool so far?

  17. anonymous
    • one year ago
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    got it (:

  18. Jack1
    • one year ago
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    nice 3. from the question again: "Find the length .... if the volume is 576 cubic inches and has a height of 3 inches. " so find L if V = 576 and h = 3 put the values of V and H into our equation new equation: \(\Large V = \frac{L \times L \times H}3\) \(\Large 576 = \frac{L \times L \times 3}3\) still with me?

  19. anonymous
    • one year ago
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    sorry i was away from my computer but i understand still (:

  20. Jack1
    • one year ago
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    all good 4. there's a 3 top and bottom in the fraction, so it's times 3 and then divide by 3... so they cancel eachother out \(\Large 576 = \frac{L \times L \times \color{red}{3}} {\color{red}{3}}\) \(\Large 576 = \frac{L \times L \times 1} 1\) \(\Large 576 = L \times L \) \(\Large 576 = L^2 \) all cool still?

  21. anonymous
    • one year ago
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    ohhh ok i understand thats were i was confused before (:

  22. Jack1
    • one year ago
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    got it then, sweet! so are you ok to solve from here?

  23. anonymous
    • one year ago
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    yea i think so um.. for the last where it say 576=L/2 would then be 576= 2x2?

  24. Jack1
    • one year ago
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    no, that's L squared, so 576 = L x L so if you take the square root of both sides you're left with : ____ (number?) = L

  25. anonymous
    • one year ago
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    oooh ok im sorry i feel like a dork now the 24=L correct (:

  26. Jack1
    • one year ago
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    yep, perfect! ;)

  27. Jack1
    • one year ago
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    and only dorks use the word dork :P

  28. anonymous
    • one year ago
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    lol thanks ^w^ you dont mind helping me with a few more questions do you ??

  29. Jack1
    • one year ago
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    sure there's a lot of LaTex in this post tho, so maybe open a new one so it's faster?

  30. anonymous
    • one year ago
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    oh ok (:

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