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Math Help - identify the data required & determine the volume of two compund solid bodies

  1. #1
    Junior Member turbod15b's Avatar
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    identify the data required & determine the volume of two compund solid bodies

    1)

    how do i work out the volume?
    do i work out the rectangle first then the semi circle?

    http://i10.photobucket.com/albums/a1...5/DSC00515.jpg

    2)
    if the template is 3mm think, what is the volume in cubic millimetres?
    do i split it into 2 rectangles, triangle & a circle?

    http://i10.photobucket.com/albums/a1...5/DSC00517.jpg



    cheers all
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by turbod15b View Post
    1)

    how do i work out the volume?
    do i work out the rectangle first then the semi circle?

    http://i10.photobucket.com/albums/a1...5/DSC00515.jpg
    cheers all
    Work out the area of the crossection (the semi-circle or radius 8 cm (0.08m)
    plus the rectangle 16 by 12 cm (0.16 by 0.12 m, but do it in metres) then multiply by the length.

    This will give the volume in cubic metres.

    RonL
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  3. #3
    Grand Panjandrum
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    Quote Originally Posted by turbod15b View Post
    2)
    if the template is 3mm think, what is the volume in cubic millimetres?
    do i split it into 2 rectangles, triangle & a circle?

    http://i10.photobucket.com/albums/a1...5/DSC00517.jpg



    cheers all
    Split it us as you say to find the area, then multiply by the thickness.

    As I'm sure you know the area is the sum of the areas of the rectangles and the
    triangle minus the area of the circle.

    RonL
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  4. #4
    Junior Member turbod15b's Avatar
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    2)

    area of circle 3.141 * 25 squared = 1963.125cm2

    area of rectangles = Length * Width or Base * Height

    220mm * 30mm = 6600mm2 or 66cm2

    130mm * 30mm = 3900mm2 or 39cm2

    area of triangle = 1/2 * base * height
    1/2*130mm*125mm=8125mm2

    how do i find out the volume in cubic millimetres if the template is 3mm thick?
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  5. #5
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    Hello, turbod15b!

    Your dimensions are a bit off . . .
    Code:
              30
          *-------*
          |       |
          |       |45
          |       |
          |       *
      170 |       : *
          |  (2)  :   *
          |       :     *
          |       :125    *
          |       :         *
          |       :    130    *         60
          * - - - * - - - - - - *---------------*
          |                                     |
        30|               (1)                   |30
          |                                     |
          *-------------------------------------*
                            220

    Rectangle (1) : . 220 \times 30\:= 6600\text{ mm}^2

    Rectangle (2): . 170 \times 30 \:=\:5100\text{ mm}^2

    Triangle: . \frac{1}{2}(130)(125) \:=\:8125\text{ mm}^2

    Circle: . \pi(25^2)\:\approx\:1963.5\text{ mm}^2


    Total area: . 6600 + 5100 + 8125 - 1963.5\:=\:17,861.5\text{ mm}^2


    Total volume: . 17,861.5\text{ mm}^2 \times 3\text{ mm} \;=\;53,584.5\text{ mm}^3

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  6. #6
    Junior Member turbod15b's Avatar
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    ty
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