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Pythagoras and trigonometry in 3D

10th grade (Year 11 in England) · 16 questions · Common Core: HSG.SRT.C.8 · England: GCSE Higher Geometry

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Score/ 16

  1. Question 1

    A cuboid measures 2 cm × 10 cm × 8 cm. Find the length of its space diagonal, to 1 decimal place.

    Answer

  2. Question 2

    A cuboid measures 8 cm × 3 cm × 10 cm. Find the length of its space diagonal, to 1 decimal place.

    Answer

  3. Question 3

    A cuboid measures 3 cm × 7 cm × 9 cm. Find the length of its space diagonal, to 1 decimal place.

    Answer

  4. Question 4

    A cuboid measures 3 cm × 2 cm × 2 cm. Find the length of its space diagonal, to 1 decimal place.

    Answer

  5. Question 5

    A cuboid measures 2 cm × 2 cm × 3 cm. Find the length of its space diagonal, to 1 decimal place.

    Answer

  6. Question 6

    A cuboid measures 5 cm × 5 cm × 3 cm. Find the length of its space diagonal, to 1 decimal place.

    Answer

  7. Question 7

    A cuboid measures 7 cm × 2 cm × 3 cm. Find the length of its space diagonal, to 1 decimal place.

    Answer

  8. Question 8

    A cuboid measures 10 cm × 2 cm × 3 cm. Find the length of its space diagonal, to 1 decimal place.

    Answer

  9. Question 9

    A cuboid measures 2 cm × 5 cm × 3 cm. Find the length of its space diagonal, to 1 decimal place.

    Answer

  10. Question 10

    A cuboid measures 9 cm × 3 cm × 5 cm. Find the length of its space diagonal, to 1 decimal place.

    Answer

  11. Question 11

    A cuboid measures 9 cm × 10 cm × 6 cm. Find the length of its space diagonal, to 1 decimal place.

    Answer

  12. Question 12

    A cuboid measures 7 cm × 4 cm × 4 cm. Find the length of its space diagonal, to 1 decimal place.

    Answer

  13. Question 13

    A cuboid measures 10 cm × 10 cm × 2 cm. Find the length of its space diagonal, to 1 decimal place.

    Answer

  14. Question 14

    A cuboid measures 8 cm × 8 cm × 3 cm. Find the length of its space diagonal, to 1 decimal place.

    Answer

  15. Question 15

    A cuboid measures 10 cm × 10 cm × 10 cm. Find the length of its space diagonal, to 1 decimal place.

    Answer

  16. Question 16

    A cuboid measures 2 cm × 3 cm × 8 cm. Find the length of its space diagonal, to 1 decimal place.

    Answer

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Answer key: Pythagoras and trigonometry in 3D

  1. 1. 13

  2. 2. 13.2

  3. 3. 11.8

  4. 4. 4.1

  5. 5. 4.1

  6. 6. 7.7

  7. 7. 7.9

  8. 8. 10.6

  9. 9. 6.2

  10. 10. 10.7

  11. 11. 14.7

  12. 12. 9

  13. 13. 14.3

  14. 14. 11.7

  15. 15. 17.3

  16. 16. 8.8