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Formula for working out Volume of a Triangular Prizm

jclothier
jclothier asked
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Last Modified: 2012-08-13
Hi all

Back with yet another question on working out volumes. I need a formula to work out the volume of an aquarium. This aquarium is 3 sided (a triangular prizm) but the front face is a bow. Heres a picture

http://www.clothier.org.uk/tritank.jpg

I want to be able to calculate the volume using only 4 measurements. They are marked on the picture.

D (Size of one of the sides, I'm assuming that both sides would be the smae size)
H (Height of Aquarium)
W (Width accross the Aquarium, this is where the glass would be if it wasn't bowed)
Z (The distance from the very back to the very front of the bow.

It would be usefull if extra parenthesis were used to seperarte out the equation. This is because I need to break the formula up into sections.
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Commented:
L=sqrt(D²-(W/2)²)
R=(4(Z-L)²+W²)/(8*(Z-L))
V = H*(R²sin¯¹(W/(2R))+W(L-sqrt(R²-(W/2)²))/2)

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Commented:
although I take it it should have read

V = H*(R²sin-¹(W/(2R))+W(L-sqrt(R²-(W/2)²))/2)

??
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