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# Calculate gallons of a tank

A HEXAGONAL AQUARIUM. EACH OF THE SIX SIDES IS 16 INCHES BY 23 INCHES. HOW MANY GALLONS OF WATER WILL THIS FISH TANK HOLD?

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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).
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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Posted on Jan 02, 2017

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Best regards
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