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.

Question

anonymous · Answer

Is the wet portion a ratio? or does it simple mean wet portion= volume?

anonymous · Answer

wet portion = volume

anonymous · Answer

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.

anonymous · Answer

that's all..

anonymous · Answer

Hmmm....strange question this one. Well, it might mean that H=r.

anonymous · Answer

the answer was 34.88 inches
but i want to know how to get it..

anonymous · Answer

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