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Reading and Using Plans and elevations

Lesson

Technical drawings often show an object from several different viewing positions. In the design of a building, for example, there is usually a plan view, which is the view from directly above, a front elevation and one or more side elevations, which are respectively the views from directly in front and from the sides.

A drawing comprising plans and elevations omits details that cannot be seen from the relevant viewpoints and does not attempt to convey a three-dimensional or perspective impression of the object. In reading such drawings, it is necessary to use some imagination to gain an impression of how the real object will appear.

Similarly, in making plan and elevation drawings, care is needed to determine which parts of the object will be visible in each case and what the shapes will look like.

In mathematical terms, a plan or elevation is a projection of a three-dimensional object onto a plane that is perpendicular to an important axis of the object.

Example

 

Worked Examples

Question 1

Consider the following diagram of a solid.

  1. Which of the following diagrams represents the top view of the given solid?

    A

    B

    C

    D
  2. Which of the following diagrams represents the front view of the given solid?

    A

    B

    C

    D
  3. Which of the following diagrams represents the side view of the given solid?

    A

    B

    C

    D

Question 2

Consider the following diagram of a solid.

  1. Which of the following diagrams represents the top view of the given solid?

    A

    B

    C

    D
  2. Which of the following diagrams represents the front view of the given solid?

    A

    B

    C

    D
  3. Which of the following diagrams represents the side view of the given solid?

    A

    B

    C

    D

Question 3

Which solid has the following top, front and side views?

TOP FRONT SIDE
  1. A

    B

    C

    D

Outcomes

MS1-12-3

interprets the results of measurements and calculations and makes judgements about their reasonableness

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