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CLCULATE GALLONS FOR A FISH TANK

A HEXAGONAL AQUARIUM. 6 SIDES ARE EACH 16 INCHES BY 23 INCHES. HOW MANY GALLONS OF WATER WILL THIS AQUARIUM HOLD?

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That depends. If the sides are 16 inches wide by 23 inches high then the aquarium will hold about 66.2 US gallons or about 55.1 Imperial gallons. If the sides are 23 inches wide by 16 inches high then the capacity is about 95.2 US gallons or about 79.3 Imperial gallons.

Posted on May 12, 2014

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9.31 US Gallons

Posted on May 12, 2014

  • Chris Day
    Chris Day May 12, 2014

    scratch my earlier comment, I misread the 16 as 6. here is a great link for calculating aquarium volumehttp://www.aqua-calc.com/calculate/volum...

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SOURCE: calculate gallons of a tank

I assume the length of a side is 16 in, and the height of the prism is 23 inches.
Volume of a prism is V_prism=(Area of base)*(height of prism)
Area of base is made up of the area of the 6 equilateral triangles with sides =16 inches. The height of such triangles is given by 8*SQRT(3).
Use the Pythagorean theorem or the trigonometric ratios to find the height of each of the 6 traingles.
Area of base =6*16*(8*SQRT(3))/2 sq in
Volume =6*8*8*23*SQRT(3) cubic inches
Calculate the value in cubic inches and convert to gallons: I leave that task to you.

Posted on May 12, 2014

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I assume the length of a side is 16 in, and the height of the prism is 23 inches.
Volume of a prism is V_prism=(Area of base)*(height of prism)
Area of base is made up of the area of the 6 equilateral triangles with sides =16 inches. The height of such triangles is given by 8*SQRT(3).
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