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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
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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ShadowysBest ResponseYou've already chosen the best response.2
Is the wet portion a ratio? or does it simple mean wet portion= volume?
 one year ago

ShadowysBest ResponseYou've already chosen the best response.2
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

ShadowysBest ResponseYou've already chosen the best response.2
Hmmm....strange question this one. Well, it might mean that H=r.
 one year ago

erosheaBest ResponseYou've already chosen the best response.0
the answer was 34.88 inches but i want to know how to get it..
 one year ago

ShadowysBest ResponseYou've already chosen the best response.2
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 prismdw: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

erosheaBest ResponseYou've already chosen the best response.0
ok.. thank you.. i'll try answering it again
 one year ago

ShadowysBest ResponseYou've already chosen the best response.2
You're welcome :) sorry I can't be of more help.
 one year ago

erosheaBest ResponseYou've already chosen the best response.0
that's fine.. thanks for the help :))
 one year ago

ChlorophyllBest ResponseYou've already chosen the best response.1
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

ShadowysBest ResponseYou've already chosen the best response.2
So the area=volume? wow.
 one year ago
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