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| Math Central | Quandaries & Queries |
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Question from Frank, a parent: how many gallons of water in an 8" hexagon shaped box. 6" sides x 12.5" high? The walls are 1" thick , beveled @ 30 degrees, so inside dimensions are 6" |
Hi Frank,
The volume of a prism is the area of the base times height. The hexagon you describe is regular with side length 6 inches so you can find its area in square inches using Stephen's expression for the area of a regular polygon with n sides or a different technique he used for the area of a regular hexagon.
Once you have the volume in cubic inches, say $A$ cubic inches you can use Google to find the volume in gallons. Just type $A$ cubic inches in gallons into the Google search window.
Penny
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