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Thread: Calculating depth of water

  1. #1
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    Calculating depth of water

    Calculating depth of water-4b.png
    I know a) is 81cm^3 but Im stuck on b
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  2. #2
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    Re: Calculating depth of water

    You wind up with a trianglular prism. Its volume is 81. The volume of the prism is the area of the end triangle times the length. you know the length is 9. The area of a triangle is $\dfrac{1}{2}bh$. You know the triangle is a 45-45-90 triangle. If you draw in the height, you know that you are cutting the 90 degree angle in half, so you get another 45-45-90 triangle with the height and half the base as equal sides in the isosceles triangle. So, you have:

    $\dfrac{1}{2}bh\cdot 9 = 81$

    and

    $h = \dfrac{1}{2}b$

    Can you solve it from here?
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  3. #3
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    Re: Calculating depth of water

    h=3
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