3D Pythagoras & Trigonometry Quiz
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5 questions, one answer each
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1. A cuboid has dimensions 3 cm, 4 cm, 12 cm. What is the length of the space diagonal?
- A. 13 cm
- B. 19 cm
- C. 12.5 cm
- D. 7 cm
2. What is the angle between a line and a plane measured against?
- A. The line's projection onto the plane
- B. The vertical from the plane
- C. Any line in the plane
- D. The longest diagonal of the plane
3. A square-based pyramid has base side 6 cm and vertical height 4 cm (measured from the centre of the base to the apex). Find the length of a slant edge (from a base corner to the apex).
- A. 5.83 cm
- B. 7.21 cm
- C. 5.0 cm
- D. 8.49 cm
4. Why is it important to keep full calculator accuracy between steps in a 3D problem?
- A. Because rounding errors compound across multiple calculation steps
- B. Because the exam requires exact surd answers only
- C. Because calculators cannot store decimals
- D. Because 3D shapes have no exact answers
5. A vertical pole of height 12 m stands at one corner of a rectangular field measuring 5 m by 9 m. What is the angle of elevation from the diagonally opposite corner of the field to the top of the pole?
- A. 49.4 degrees
- B. 65.6 degrees
- C. 54.6 degrees
- D. 35.4 degrees