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Quiz Chapter 7: Plans and Elevations

10 questions · Form 3 Mathematics Bab 7: Plans and Elevations

Question 1 of 10Score: 0

If a cylinder with radius 3 cm and height 8 cm is viewed from the side, what shape is its side elevation?

Full Question List & Answer Key

Prefer reading to quizzing? All 10 questions are listed below with the answer and explanation under each one.

1. If a cylinder with radius 3 cm and height 8 cm is viewed from the side, what shape is its side elevation?

  1. Circle
  2. Rectangle
  3. Triangle
  4. Oval
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Answer: B

The side view of a cylinder projected onto a vertical plane is a rectangle with width equal to the diameter (6 cm) and height 8 cm.

2. What is an orthogonal projection?

  1. A 3D perspective drawing of an object
  2. An image formed on a plane by lines perpendicular to that plane
  3. A shadow formed by a light source at an angle of 45°
  4. A scaled-down sketch of a building site
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Answer: B

An orthogonal projection is formed when projection rays from an object intersect the plane of projection at right angles (90°).

3. In a 4-quadrant plan and elevation layout, if the Front Elevation is drawn in Quadrant II, where is the Plan drawn?

  1. Quadrant I
  2. Quadrant II
  3. Quadrant III
  4. Quadrant IV
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Answer: C

In standard arrangement, the Plan is positioned in Quadrant III, directly below the Front Elevation in Quadrant II.

4. Looking from directly above a right circular cone, what shape does its Plan form?

  1. Triangle
  2. Circle with a centre point
  3. Rectangle
  4. Ellipse
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Answer: B

The Plan of a cone viewed from top is a circle representing the base, with a point at the centre representing the apex.

5. What is the shape of the plan of a sphere with radius r?

  1. Square
  2. Circle of radius r
  3. Point
  4. Ellipse
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Answer: B

The orthogonal projection of a sphere onto any plane (Plan or Elevation) is a circle of the same radius.

6. What is the orthogonal projection of a straight line segment that is parallel to the projection plane?

  1. A point
  2. A line of equal length
  3. A line shorter than the actual segment
  4. A square
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Answer: B

When a line is parallel to the plane of projection, its orthogonal projection is a line segment of equal length.

7. What angle is used for the construction alignment line in the standard 4-quadrant layout for drawing plans and elevations?

  1. 30°
  2. 45°
  3. 60°
  4. 90°
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Answer: B

A 45° construction line in Quadrant IV is used to project horizontal dimensions between the Plan and Side Elevation.

8. A triangular prism with a right-angled triangular cross-section rests on its rectangular base. What is the shape of its Front Elevation when viewed perpendicular to the triangular face?

  1. Rectangle
  2. Triangle
  3. Trapezium
  4. Square
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Answer: B

Looking directly at the triangular cross-section face gives an orthogonal projection of a triangle.

9. Why are projection lines (construction lines) drawn lightly in plans and elevations?

  1. They represent hidden object features
  2. They are temporary guide lines used to align corresponding dimensions between views
  3. They show interior solid structures
  4. They indicate paper boundaries
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Answer: B

Construction lines are thin guidelines used to transfer dimensions and maintain alignment between the Plan, Front, and Side elevations.

10. If an inclined face of a prism is viewed in an orthogonal projection from above, how does its area in the Plan compare to its actual surface area?

  1. It is larger than the actual area
  2. It is smaller than the actual area
  3. It is equal to the actual area
  4. It becomes zero
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Answer: B

An inclined (slanted) surface appears foreshortened in an orthogonal projection, making its projected area smaller than its true surface area.

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