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If it is 74" all the way around, I took that and divided it by 6 for the sides. And if you say that it is 25" and some change. Looks like about 42 gallons according to the calculator on Aquariumlife.net. Hope that helps.
Ask Tim (armthe homeless), he is a math teacher. It would take some time to seperate the hexagon into triangles, squares, and rectangles.
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For actual volume, use inside dimensions (not outside dimensions)
'Dear Lord,' the minister began, with arms extended toward heaven and a rapturous look on his upturned face. 'Without you, we are but dust ...'
He would have continued but at that moment my very obedient daughter who was listening leaned over to me and asked quite audibly in her shrill little four-year old girl voice, 'Mom, what is butt dust?'
Formula for a REGULAR hexagonal prism(where each side is the exact same length and each internal angle is the same) is perimeter times apothem times height divided by two.
So we get:
V = 74 *(74 / 12) * sqrt3 * 25.25 / 2 =
= 9980.6815 cubic inches
= 9908.6815 cuin * .00433gallons / cuin = 43.216 gallons
Scarecrow : I haven't got a brain... only straw.
Dorothy : How can you talk if you haven't got a brain?
Scarecrow: I don't know... But some people without brains do an awful lot of talking... don't they?
Dorothy: Yes, I guess you're right.
Now I have a bonus problem for the final for my geometry students tomorrow. (They already found the number of gallons for my classroom aquarium using this method)
Scarecrow : I haven't got a brain... only straw.
Dorothy : How can you talk if you haven't got a brain?
Scarecrow: I don't know... But some people without brains do an awful lot of talking... don't they?
Dorothy: Yes, I guess you're right.
Volume = (cos 30) x 3Wsq x H x .00433g/cuin = 43 gallons
Volume = 2.6 * Wsq x H x .00433g/cuin = 43 gallons
thankyou professor
'Dear Lord,' the minister began, with arms extended toward heaven and a rapturous look on his upturned face. 'Without you, we are but dust ...'
He would have continued but at that moment my very obedient daughter who was listening leaned over to me and asked quite audibly in her shrill little four-year old girl voice, 'Mom, what is butt dust?'
Scarecrow : I haven't got a brain... only straw.
Dorothy : How can you talk if you haven't got a brain?
Scarecrow: I don't know... But some people without brains do an awful lot of talking... don't they?
Dorothy: Yes, I guess you're right.
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