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

Shadowys
 2 years ago
Best ResponseYou've already chosen the best response.2Is 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.

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

eroshea
 2 years ago
Best ResponseYou've already chosen the best response.0the answer was 34.88 inches but i want to know how to get it..

Shadowys
 2 years ago
Best ResponseYou've already chosen the best response.2Either 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. \(V=(6)(\frac{1}{2} r^2 sin 60)(h)\) \(V=(\frac{3 \sqrt 3}{4} r^2)(h)\)

eroshea
 2 years ago
Best ResponseYou've already chosen the best response.0ok.. thank you.. i'll try answering it again

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

eroshea
 2 years ago
Best ResponseYou've already chosen the best response.0that's fine.. thanks for the help :))

Chlorophyll
 2 years ago
Best ResponseYou've already chosen the best response.1V = 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 :/ )

Shadowys
 2 years ago
Best ResponseYou've already chosen the best response.2So the area=volume? wow.
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