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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

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?

Full Question List & Answer Key

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

1. 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.

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. 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.

4. Which projection shows the view of an object onto a vertical plane from the front?

  1. Plan
  2. Side Elevation
  3. Front Elevation
  4. Isometric View
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Answer: C

The Front Elevation is the orthogonal projection onto a vertical plane when looking directly at the front of the object.

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. Which view allows us to measure the height of a 3D object?

  1. Plan only
  2. Front Elevation and Side Elevation
  3. Plan and Front Elevation
  4. Plan and Side Elevation
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Answer: B

Height is a vertical dimension, which is visible in both the Front Elevation and Side Elevation, but NOT in the Plan (top view).

8. A square pyramid has a base of 6 cm × 6 cm and height of 8 cm. What shape is its Front Elevation when viewed facing one side of the base?

  1. Square
  2. Isosceles Triangle
  3. Right-angled Triangle
  4. Rectangle
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Answer: B

When viewed perpendicular to one of the base edges, the front elevation of a regular square pyramid is an isosceles triangle with base 6 cm and height 8 cm.

9. Which view represents the orthogonal projection of an object onto a horizontal plane as seen from above?

  1. Front Elevation
  2. Side Elevation
  3. Plan
  4. Cross-section
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Answer: C

The Plan is the view of an object from directly above, projected onto a horizontal plane.

10. 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.

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