Tank Size

paulypaul182

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Hi all,

A few weeks ago I posted a question about the size of my tank. Its a hexagon of unequal sized sides so I was having difficulty in working out the capacity. Someone actually said it was 300 litres so i took their word for it but I am now thinking he may have been wide of the mark. Ive looked on google to see if there is a basic formula for this but i cant seem to find one.

The tanks exact dimensions are from front to clockwise 69.5 x 15.3 x 26.6 x91.4 x 26.6 x 15.3cm and the height from the gravel to surface is 41.5cm.

Can anyone help because if the tank is 125 litres which Im concerned that it is, I will be over stocked. Also, I need to work out my tap safe and plant food doseages.

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easiest thing i can think of is to do a 50% water change using something you know the volume of like say a 10 litre bucket . count the buckets til you have taken out half the water then double that to get the volume. say for example half the water takes 10 bucketss at 10 litres each would give a tank volume of 200 litres . there must be a formula you can use to work it out but i dont know it and thats the best i can come up with hope this helps
 
easiest thing i can think of is to do a 50% water change using something you know the volume of like say a 10 litre bucket . count the buckets til you have taken out half the water then double that to get the volume. say for example half the water takes 10 bucketss at 10 litres each would give a tank volume of 200 litres . there must be a formula you can use to work it out but i dont know it and thats the best i can come up with hope this helps


Thanks Mark, Ill try that when I do my next water change which will be at the weekend
 
Worked it out as 145 litres from gravel top to surface so its a 150 litre tank. With rocks and other stuff, Ive probably got about 130 litres in there. Im thinking Im over stocked and tad but also over filtered which is lucky!! Vastly overfiltered as I have a Fluval 4 plus and a 2 plus. Ive got to many heaters in there though as their is 2 200 watt filters in there.
Slightly gutted but it was all free anyway.
 
Déjà vu...

Anyway :)

With the latest set of figures from you the calcs go as per below, (this time with a diagram to try and explain):

HexTank.jpg


Figures in BLACK are taken from your post above, figures in RED-ish are calculated as per below :)
The BLUE area with the solid outline is your aquarium and the RED-ish areas with the dotted outline are the pieces I have 'added' as per below.

So the red figures;

2 Possible ways to calculate the length of the 'sides' of the red triangles. We will do both to double check our calculations.

1)
Pythagoras;

"On an equalateral right angle triangle the sum of the square of the two sides is equal to the sum of the hypotenuse"

Basically the length of the 'sides' of the triangle we will assume to be equal, and if you square those, and add them together, it will give the same value, as if you take the length of the diagonal and square that.

To 'fit' this rule, the sides of the triangle HAVE to be 10.8cm

2)
To Double check the calculations in 1), we will again assume that the 'front' and the 'side' of the triangles are equal lengths.
The 'flat' front of the tank is 69.5 cm, and the rear is 91.4 cm.
The difference between these 2 measurements is 21.9 cm. This is the length of front face taken up by the triangles.
As there are 2 triangles, we must divide this figure by 2.

This gives the triangle 'front' the dimension of 21.9 / 2 = 10.95 cm

Allowing for initial measurement errors these figures are close enough to be considered correct.
As can be seen from the diagram red figures, I have used the 10.8 cm value.

Rectangular Tank Volume

We now have all the measurements for a regular rectangular tank.

The length: 91.4 cm
The Depth: 26.6 + 10.8 = 37.4 cm
The Height: 41.5 cm

Using the CALCULATOR at the top of this page that gives a rectangular tank volume of: 142 Litres

The Missing Volume

However your tank will be less than that as we have included the red areas in this calculation.
As the two red triangles can be considered to be placed together, joining on the diangonals, it could produce a red square.
The volume of this red square can be calculated the same way as the rectangular tank:

The length: 10.8
The Depth: 10.8
The Height: 41.5 cm

Using the CALCULATOR at the top of this page that gives a rectangular tank volume of: 5 Litres

Summary

So you have a 142L tank, with 5L missing, so your tank volume is going to be APPROXIMATELY 135 ~ 140 Litres.

This can only be approximate due to the errors always introduced when measuring, (and also I'm not sure why you measured from the top of the substrate, as the water will also be within the substrate).

The definitive way to know is to start with a dry tank and measure the water as you put it in, however as that is not a possibility for you, then the above figure should be "close enough" :)

NOTE: The reason that we told you it was closer to 300L in the other thread was because you gave a measurement of the front of the tank to the back of 36.5 inches (3ft or 92.71 cm). In the figures above it is 37.4cm (which is 14.72 inches). Quite a difference in measurements, and hence quite a difference in volume.
Looking at the measurements we have here now, and the ones you gave in the other thread, it looks like at some point on the other thread you started measuring in "cm" but stating the values on the thread in "inches"!

No worries, hopefully the above sorts it out :)
:good:

EDIT: This would have been here much sooner if the board hadn't been playing up! - Sorry!
 
Yeah its definately 150 litres. I just took the chance to re-scape the tank so I emptied it. Well, it was about 140 litres but with the gravel and rocks, ive estimated it at 150.

Tanks looking great, Ive put the rocks along the middle, building a small wall across the tank. It splits it into 2 now so there are 2 ground territories. The Vallis is at the back and the Wisteria and liliciana are at the front. Ive took a heater out now that I know I dont need 2 but Ive kept both filters in as Im most likely overstocked.
 

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