Geometry help?

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A hexagonal right prism has a volume of 500 cu in. If the base is a regular hexagon with a side 4in., what is the altitude of the prism?

2007-04-05 02:44:14 · 3 answers · asked by elson7997 1 in Science & Mathematics ➔ Mathematics

Area of the hexagon is : 24(sqrt 3)

Volume is
(area of base) * (Height)

Note: height = altitude

500 = 24(sqrt 3) * height
12.03 = height

2007-04-05 02:50:14 · answer #1 · answered by Mathematica 7 · 0⤊ 0⤋

The base surface is perimeter*apothem /2 = 6*4*4sqrt3/4=24*sqrt3
altitude = 500/24*sqrt3=12.03 in

2007-04-05 10:17:18 · answer #2 · answered by santmann2002 7 · 0⤊ 0⤋

12.02813061

2007-04-05 10:20:02 · answer #3 · answered by Anonymous · 0⤊ 0⤋