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Interpret the pipework drawing in Figure 1, identify and quantify pipework materials, and cut and measure pipes as per the drawing.

Computer Science

ScanSolve AI Answer

Answer

30013mm300\sqrt{13} mm

Step-by-step solution

5 steps
  1. Identify the dimensions from the plumbing drawing.

    The horizontal offset is 600 mm600\,\mathrm{mm} and the vertical riser height for the offset section is 900 mm900\,\mathrm{mm}.

  2. Apply the Pythagorean theorem to find the true length LL of the offset pipe.

    L=(600)2+(900)2L = \sqrt{(600)^2 + (900)^2}
  3. Calculate the squares.

    (600)2=360000 mm2(600)^2 = 360000\,\mathrm{mm}^2 (900)2=810000 mm2(900)^2 = 810000\,\mathrm{mm}^2
  4. Add the squares.

    360000+810000=1170000 mm2360000 + 810000 = 1170000\,\mathrm{mm}^2
  5. Take the square root and simplify.

    L=1170000=9×130000=9×10000×13=3×10013=30013 mmL = \sqrt{1170000} = \sqrt{9 \times 130000} = \sqrt{9 \times 10000 \times 13} = 3 \times 100 \sqrt{13} = 300\sqrt{13}\,\mathrm{mm}

    The length of the offset pipe is 30013 mm≈1081.4 mm300\sqrt{13}\,\mathrm{mm} \approx 1081.4\,\mathrm{mm}.

    300\sqrt{13} mm

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