Divide it into square chunks, 3x20x10 = 600 for the shallow end. 6x20x10 = 1200 for the deep end. the square section above the slope is 3x20x4 = 240. the bit that includes the slope will be 3x20x4 divided in half = 120.
I get it all when it's explained. Ask me again, tomorrow, with different dimensions and I'd probably be crying for help again. My brain just seizes up when it comes to math.
It didn't help that, as I was talking to my father (a school teacher for YEARS), and I said, "so then you divide the cubic feet by 0.134 to get the number of gallons", he said, "No! You multiply!". Then, when I say, "That doesn't seem like nearly enough water!" he says, "You divide it."
I never, NOT ONCE, learned about PRISMS in geometry. So I would hire a contractor to build the pool then fill it up and see how much water you used... Guess that doesn't really help, glad you found others who could! :-)
The answers and explanations everyone has offered look fine and relate to the diagram. I just have one small problem remaining with the question: what does it mean by "with concave hexagonal bases"? If you can get the answer without this information, why add it?
To confuse, of course! It's always been my contention that a significant population of those teaching math are aliens-in-hiding. By confusing and humiliating children at an impressionable age, making math more difficult than it need be and engendering panic by way of the "pop quiz", they can ultimately take over the world.
Ah, so it's the 12 foot lizards! I might have guessed. Another possibility is that they're not so much cunning in their effort to confuse as too stupid to realise they're doing it.
I went to his web site and his "Reptilian Connection" link won't load in order for me to better understand what we're up against. I think it's a conspiracy!
It's your fault. I'd never heard of him until this morning. Now, after reading a bit, I'm thinking up clever plots as to how to retaliate for you introducing me to this guy. I'm thinking of sending you a weighty Geometery textbook postage due!
I always loved problems like that where you had to break the object of interest up into chunks to figure out the total volume. For some reason, I find them so satisfying.... :-)
I didn't calculate it for you (mostly because I can't remember how to calculate the volume of a triangle shape) but it looks like you've had plenty of help.
because I can't remember how to calculate the volume of a triangle shape
Not only is it I can't remember hot to calculate the volume of a triangle, I don't remember learning this at all! And I know I did. I finished the course and passed (just barely). I think I blocked it out because it was just too traumatic!
You can also do it by imagining that it was a whole cuboid (20 x 24 x 6) and then take away the missing part ((3 x 10 x 20) + (3 x 4 x 20)/2) from that. I find that way slightly easier, because I find it fiddly to divide the swimming pool into chunks. :-)
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The total is 2160 cubic feet, or 16119.4 gallons.
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:)
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But what the hell do I know?
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Obviously more than I do! Thanks. :)
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3x20x24 for the shallow water
3x20x10 for the deep water
and a trigular prism piece for the sloped portion equal to 1/2 of 4x3x20
Total volume is 1,440 + 600 + 120 = 2,160 cu. ft.
Divide by 0.134 to get gallons give us 16,119.4 gallons
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Hence why you're the geek, and I'm the pots...
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ResQgeek, trying to fully live up to his screen name
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*boggling at the geekitude*
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It didn't help that, as I was talking to my father (a school teacher for YEARS), and I said, "so then you divide the cubic feet by 0.134 to get the number of gallons", he said, "No! You multiply!". Then, when I say, "That doesn't seem like nearly enough water!" he says, "You divide it."
AAAAaaAAAGGgggrrrhhh!
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Oh, the pic refers to me, not you!
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Anyway, here's a nice piece about him in Wikipedia. If you don't already know this guy, you're sure to say, "I don't believe I'm reading this."
http://en.wikipedia.org/wiki/David_Icke
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I didn't calculate it for you (mostly because I can't remember how to calculate the volume of a triangle shape) but it looks like you've had plenty of help.
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Not only is it I can't remember hot to calculate the volume of a triangle, I don't remember learning this at all! And I know I did. I finished the course and passed (just barely). I think I blocked it out because it was just too traumatic!
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