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eroshea Group Title

A flower vase, in the form of a hexagonal prism, is to be filled with 512 cubic inches of water. Find the height of the water if the wet portion of the flower vase and its volume are numerically equal.

  • one year ago
  • one year ago

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  1. Shadowys Group Title
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    Is the wet portion a ratio? or does it simple mean wet portion= volume?

    • one year ago
  2. eroshea Group Title
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    wet portion = volume

    • one year ago
  3. Shadowys Group Title
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    Is there any more numbers? The volume of a hexagonal prism is \(V=\frac{\sqrt 3}{4}r^2 H\) where r is the side of the hexagon.

    • one year ago
  4. eroshea Group Title
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    that's all..

    • one year ago
  5. Shadowys Group Title
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    Hmmm....strange question this one. Well, it might mean that H=r.

    • one year ago
  6. eroshea Group Title
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    the answer was 34.88 inches but i want to know how to get it..

    • one year ago
  7. Shadowys Group Title
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    Either I misunderstood the question or it lacks something. Sorry, Idk why it is 34.88. Though I can show how to calc the volume of the prism|dw:1352974254691:dw| As such the volume is area of six triangles x height. \(V=(6)(\frac{1}{2} r^2 sin 60)(h)\) \(V=(\frac{3 \sqrt 3}{4} r^2)(h)\)

    • one year ago
  8. eroshea Group Title
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    ok.. thank you.. i'll try answering it again

    • one year ago
  9. Shadowys Group Title
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    You're welcome :) sorry I can't be of more help.

    • one year ago
  10. eroshea Group Title
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    that's fine.. thanks for the help :))

    • one year ago
  11. Chlorophyll Group Title
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    V = SA = 512 V = ( 3 √3 /2 ) a² * H 512 = 2.6 a² * H ->H = 197.1 / a² SA = 2.6 a² + 6a h 512 = 2.6 a² + 6a ( 197.1 / a²) = 2.6 a² + 1,182.6 / a 512a = 2.6a³ + 1,182.6 ( plug into your calculator to solve it :/ )

    • one year ago
  12. Shadowys Group Title
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    So the area=volume? wow.

    • one year ago
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