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Diagonal of a box

Grade 8 math · Fieldbook Learning

Name ______________________ Date __________

The diagonal of a box: square the three edges, add them, and take the square root.

  1. A box is 3 cm long, 12 cm wide and 24 cm tall. How long is the longest straight line from one corner to the opposite corner, in cm?
  2. A box is 4 cm long, 12 cm wide and 18 cm tall. How long is the longest straight line from one corner to the opposite corner, in cm?
  3. A box is 6 cm long, 3 cm wide and 2 cm tall. How long is the longest straight line from one corner to the opposite corner, in cm?
  4. A box is 3 cm long, 4 cm wide and 12 cm tall. How long is the longest straight line from one corner to the opposite corner, in cm?
  5. A box is 16 cm long, 32 cm wide and 32 cm tall. How long is the longest straight line from one corner to the opposite corner, in cm?
  6. A box is 24 cm long, 8 cm wide and 6 cm tall. How long is the longest straight line from one corner to the opposite corner, in cm?
  7. A box is 7 cm long, 4 cm wide and 4 cm tall. How long is the longest straight line from one corner to the opposite corner, in cm?
  8. A box is 6 cm long, 6 cm wide and 7 cm tall. How long is the longest straight line from one corner to the opposite corner, in cm?
  9. A box is 4 cm long, 8 cm wide and 8 cm tall. How long is the longest straight line from one corner to the opposite corner, in cm?
  10. A box is 20 cm long, 40 cm wide and 40 cm tall. How long is the longest straight line from one corner to the opposite corner, in cm?
  11. A box is 6 cm long, 2 cm wide and 9 cm tall. How long is the longest straight line from one corner to the opposite corner, in cm?
  12. A box is 12 cm long, 48 cm wide and 16 cm tall. How long is the longest straight line from one corner to the opposite corner, in cm?
  13. A box is 9 cm long, 36 cm wide and 12 cm tall. How long is the longest straight line from one corner to the opposite corner, in cm?
  14. A box is 21 cm long, 18 cm wide and 18 cm tall. How long is the longest straight line from one corner to the opposite corner, in cm?
  15. A box is 4 cm long, 4 cm wide and 7 cm tall. How long is the longest straight line from one corner to the opposite corner, in cm?
  16. A box is 24 cm long, 48 cm wide and 48 cm tall. How long is the longest straight line from one corner to the opposite corner, in cm?
  17. A box is 36 cm long, 42 cm wide and 36 cm tall. How long is the longest straight line from one corner to the opposite corner, in cm?
  18. A box is 12 cm long, 36 cm wide and 54 cm tall. How long is the longest straight line from one corner to the opposite corner, in cm?
  19. A box is 36 cm long, 9 cm wide and 12 cm tall. How long is the longest straight line from one corner to the opposite corner, in cm?
  20. A box is 7 cm long, 28 cm wide and 56 cm tall. How long is the longest straight line from one corner to the opposite corner, in cm?
More free practice: fieldbooklearning.com/practice/grade-8/diagonal-of-a-box/

Answer key: Diagonal of a box

  1. 27
  2. 22
  3. 7
  4. 13
  5. 48
  6. 26
  7. 9
  8. 11
  9. 12
  10. 60
  11. 11
  12. 52
  13. 39
  14. 33
  15. 9
  16. 72
  17. 66
  18. 66
  19. 39
  20. 63