anonymous
  • anonymous
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.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
Is the wet portion a ratio? or does it simple mean wet portion= volume?
anonymous
  • anonymous
wet portion = volume
anonymous
  • anonymous
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.

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anonymous
  • anonymous
that's all..
anonymous
  • anonymous
Hmmm....strange question this one. Well, it might mean that H=r.
anonymous
  • anonymous
the answer was 34.88 inches but i want to know how to get it..
anonymous
  • anonymous
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. \(V=(6)(\frac{1}{2} r^2 sin 60)(h)\) \(V=(\frac{3 \sqrt 3}{4} r^2)(h)\)
anonymous
  • anonymous
ok.. thank you.. i'll try answering it again
anonymous
  • anonymous
You're welcome :) sorry I can't be of more help.
anonymous
  • anonymous
that's fine.. thanks for the help :))
anonymous
  • anonymous
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 :/ )
anonymous
  • anonymous
So the area=volume? wow.

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