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eroshea

  • 2 years ago

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.

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  1. Shadowys
    • 2 years ago
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    Is the wet portion a ratio? or does it simple mean wet portion= volume?

  2. eroshea
    • 2 years ago
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    wet portion = volume

  3. Shadowys
    • 2 years ago
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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.

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

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

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

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

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

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

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

  11. Chlorophyll
    • 2 years ago
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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 :/ )

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

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