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Math Help - Need help finding volume of irregular shape

  1. #1
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    Need help finding volume of irregular shape

    Hi,

    The question reads: "A swimming pool is 15.0 m wide, 24.0 m long, 1.00 m deep at one end, and 2.60 m deep at the other end. How many cubic meters of water can it hold? (The slope on the bottom is constant."

    I tried solving it by turning one of the polygonal sides into a right triangle with a 1.60 m leg (2.60 - 1.00) and a hypotenuse of 24 and a rectangle with area 24 (24.0 m x 1.00 m), added up the total area, and multiplied it by the width of the pool. Does that make sense?

    Thanks!
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  2. #2
    Like a stone-audioslave ADARSH's Avatar
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    Re: Need help finding volume of irregular shape

    Quote Originally Posted by KevinShaughnessy View Post
    a hypotenuse of 24. Then I just took the area of the rectangle that's left (24.0 m x 1.00 m), added up the total area, and multiplied it by the width of the pool. Does that make sense?
    dont take 24 as hypotenuse

    take it as another leg and find the area of triangle

    (swimming pool's length is given as 24)
    ....followed by rectangle and multiply them with the 15m width.

    Cheers
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  3. #3
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    Re: Need help finding volume of irregular shape

    Quote Originally Posted by ADARSH View Post
    dont take 24 as hypotenuse

    take it as another leg and find the area of triangle

    (swimming pool's length is given as 24)
    ....followed by rectangle and multiply them with the 15m width.

    Cheers
    I swear I know what a hypotenuse is! Now I feel dumb. Thanks though, it's good to know my method made sense.
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  4. #4
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    Re: Need help finding volume of irregular shape

    modify your figure to obtain a parallepiped its volume 15x24x1.80
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  5. #5
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    Re: Need help finding volume of irregular shape

    The simplest way to handle this is to look at it "from the side". You get a trapezoid with "height" (length of the pool) 24.0 m, one "base" (depth at one end) 1.00 m. and the other "base" (depth at the other end) 2.60 m which has area (1/2)(1.00+ 2.60)(24.0). The volume is that area times the width, 15.0 m.
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