Math

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The top of a swimming pool is in the shape of a rectangle measuring 44 feet by 24 feet. Two of the sides of the pool are trapezoids. The water is 9 feet deep in the deep end and 3 feet deep in the shallow end.
Find the volume of the water in the pool. (Show your work.)
I really need help, the trapezoid part is confusing me. I know how to find the volume of a rectangular pool but I'm not sure about this one.

  • Math -

    Draw a side-view of the pool to see the trapezoid, the two vertical ends are your parallel sides.
    draw a horizontal from the short vertical to meet the longer vertical. You now have a rectangle and a right-angled triangle.
    The rectangle is 44 by 3 and the triangle is 44 by 6
    Find the area of each, add them up and multiply by the width of 24 .

  • Math -

    Sorry, but why would I need to draw a side-view of the pool? Wouldn't I just need the above-view?

  • Math -

    Oh wait, I understand what you mean now. Thank you!

  • Math -

    Okay that really didn't help me much because I don't know what the pool is supposed to look like.

  • Math -

    The top view is a rectangle
    It is the side view that illustrates the shape of the pool, it will be the trapezoid.
    Do you know what a trapezoid looks like ?

  • Math -

    Yes

  • Math -

    Reiny, if I really cared about school policies, I would not be on this website. I'm not asking you for the straight up answer, but I need to know the steps to take so I can find the answer.

  • Math -

    I really don't understand what part of my analysis you don't get.

    Volume is (base area) x (width)
    So if you consider the sideview as the base, you have
    rectangle = 44(3) = 132 ft^2
    triangle = (1/2)(44)(6) = 132 ft^2
    total area of sideview = 264 ft^2

    volume = that total x 24 ft^3

  • Math -

    44*3=132 ft^2
    (44*6)*0.5=132 ft^2
    132+132=264 ft^2
    264*24=6,336 ft^3
    v=6,336 ft^3

    This apology is going to sound really stupid coming from someone who just took an hour out of your day to answer a simple enough question (multiple times), but I couldn't visualize what you were telling me with the dimensions given. I know that isn't in any way your fault because you practically gave me the answer in three different ways, and it's not like you could post a picture on here to show me.
    Thank you for your descriptions, and for your time. I'm sorry it took as long as it did, and that I got mad.

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