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The diagram shows the plan, front elevation and side elevation of a solid shape, drawn on a centimetre grid - Edexcel - GCSE Maths - Question 5 - 2019 - Paper 1

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The diagram shows the plan, front elevation and side elevation of a solid shape, drawn on a centimetre grid. In the space below, draw a sketch of the solid shape. G... show full transcript

Worked Solution & Example Answer:The diagram shows the plan, front elevation and side elevation of a solid shape, drawn on a centimetre grid - Edexcel - GCSE Maths - Question 5 - 2019 - Paper 1

Step 1

Draw a sketch of a solid cylinder

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Answer

To sketch the solid shape, first, visualize the solid based on the provided elevations:

  1. Plan View: The circular shape in the plan indicates the top view of a cylinder. Use a compass or draw a circle with a diameter of 2 cm, which will serve as the base of the cylinder.

  2. Front and Side Elevations: The rectangular shapes in the front and side elevations show the height of the cylinder. Each of these dimensions indicates that the height is 4 cm.

  3. Combining Views: Now, visualize the 3D representation:

    • Draw two vertical lines from the edges of the circle to represent the height (4 cm) of the cylinder.
    • Connect these lines at the top with another circle to indicate the top face, maintaining the 2 cm diameter.
  4. Detailing the Sketch: Ensure to clearly label the diameter (2 cm) and height (4 cm) in your sketch. Indicate the measurements nearby to show the dimensions clearly.

  5. Finish: You may also choose to shade the sides for better depth perception, and indicate that the hidden edges may not need to be shown.

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