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What's my tank volume?

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Heh, here's a math question for you math-minded people out there!

I've got an irregular hexagonal tank with the following dimensions:

24" along the back, 10" along the straight side, 6" along the slanted side, and 15" along the front. It's 19" high.

SO: What's the litreage? (Please show your working hehe)

Oh yeah I think I know what you mean.. Just thought a hexagon had to have 6 sides...

If its what I think your talking about it which i drew a quick pic of its volume would be:

Just break it up into rectangles and triangles to get the area of the bottom and times it by the height..

If it looks like what I think I get 120.26 litres without taking any out for gravel etc and not taking into the fact you dont fill it right up..

does it look like this? (sorry crap paint pic)

tank.jpg

you can just find the total length front to back.. are you sure its 14.5" using your first measurements (triangle with sides of 4.5" and 6" remaining side is 7.5) I calculate front to back as 17.5"

first u work out the volume if the tank is an ordinary shape with the total length of the tank [front to back] then take away the volume of the corners by working out its volume if they were a small rectangle shape by putting them together. then walla

here is the basic idea [all done in cm]

back length X total length front to back x height \ 1000 = total volume

back length - front length = length of triangle front

total length front to back - side length = length of triangle side

now two triangle of the same size makes a rectangle or square. so....

length of triangle side x length of triangle front x height = volume of both triangle

total volume - volume of both triangle = volume of actual tank

i know their is a more simple way but the answer will be the same.

The two triangles cancel out one another.

The main tank part is 74.664 lts., .610 x .255 x .480 x 1000 = 74.664

the front section is 43.608 lts., .495 x .480 x .105 x 1000 = 24.948

Total = 99.612

Total is 100lts. rounded off.

Alan 104

Woops just fixed it with an edit. :oops:

Al

lol looks like we've got a bit of a vote going on here... Come on everyone else give us your calculations, is the tank empty at the moment? lol maybe you can bucket water in just to be sure?

Woops just fixed it with an edit.

i was just half way typing to correct u :D

ur one is more accurate than my i round my off as i go cuz i did it in my head. but like i said at the start around 100 litres

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