Math CentralQuandaries & Queries


Question from Jeff:

HI, I searched the site but really couldn't find my answer, at least that I could understand! I have a triangular shaped aquarium ( think of a cube, except its an equal triangle shape). all 3 sides are 48 inches, and it is 34" tall. Can you please tell me what the volume is in gallons?

Hi Jeff,

The volume of your tank is the area of the base (a triangle) times the height. Form the dimensions you have his will give the volume in cubic inches. There are 231 cubic inches in a gallon so if you divide the volume in cubic inches by 231 then the result is the volume in gallons.

What remains is to find the area of the base. The base is an equilateral triangle with sides of length 48 inches. (This is a serious aquarium!) The area of a triangle is (one half the base) times (the height). You can find the height using the response I sent to Ginny a while ago.

If this is too cryptic and you need more assistance please write back.


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