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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.

  • 2 years ago
  • 2 years 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?

    • 2 years ago
  2. eroshea Group Title
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    wet portion = volume

    • 2 years 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.

    • 2 years ago
  4. eroshea Group Title
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    that's all..

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

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

    • 2 years 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. \(V=(6)(\frac{1}{2} r^2 sin 60)(h)\) \(V=(\frac{3 \sqrt 3}{4} r^2)(h)\)

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

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

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

    • 2 years 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 :/ )

    • 2 years ago
  12. Shadowys Group Title
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    So the area=volume? wow.

    • 2 years ago
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