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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 86 · 40 sums
TalentJR

The method (Threes make cubes): Cube: n × n × n. Cube root: the number that, used three times, gives the cube. Units digits: 1→1, 2→8, 3→7, 4→4, 5→5, 6→6, 7→3, 8→2, 9→9, 0→0 — use them to guess cube roots. Make a perfect cube: break into primes; multiply by what completes each group of three (or divide by what is left over). A big cube of edge a cut into small cubes of edge b gives (a ÷ b)³ small cubes.

NameDateTime takenScore ___ / 40
  1. 1.What is 16³? =
  2. 2.What is 9³? =
  3. 3.What is the smallest whole number by which 4 must be divided to get a perfect cube?
  4. 4.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  5. 5.What is the smallest whole number by which 81 must be divided to get a perfect cube?
  6. 6.What is ∛6859? =
  7. 7.Which of these is a perfect cube? (a) 1744 (b) 1728 (c) 2130
  8. 8.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  9. 9.What is the smallest whole number by which 500 must be divided to get a perfect cube?
  10. 10.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
  11. 11.A big cube of edge 12 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  12. 12.What is 2³? =
  13. 13.What is 14³? =
  14. 14.What is the smallest whole number by which 5 must be multiplied to get a perfect cube?
  15. 15.Which of these is a perfect cube? (a) 383 (b) 461 (c) 343
  16. 16.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  17. 17.What is 4³? =
  18. 18.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  19. 19.What is 6³? =
  20. 20.What is 17³? =
  21. 21.What is the smallest whole number by which 864 must be multiplied to get a perfect cube?
  22. 22.What is 11³? =
  23. 23.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
  24. 24.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  25. 25.Which of these is a perfect cube? (a) 1417 (b) 1493 (c) 1331
  26. 26.What is ∛9261? =
  27. 27.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  28. 28.What is the smallest whole number by which 5400 must be divided to get a perfect cube?
  29. 29.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  30. 30.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  31. 31.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  32. 32.Which of these is a perfect cube? (a) 317 (b) 220 (c) 216
  33. 33.What is ∛13824? =
  34. 34.What is ∛2744? =
  35. 35.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  36. 36.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
  37. 37.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  38. 38.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  39. 39.What is 3³? =
  40. 40.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?

Answer key

  1. 4096
  2. 729
  3. 4
  4. 13
  5. 3
  6. 19
  7. 1728
  8. 216
  9. 4
  10. 17
  11. 64
  12. 8
  13. 2744
  14. 25
  15. 343
  16. 64
  17. 64
  18. 27
  19. 216
  20. 4913
  21. 2
  22. 1331
  23. 19
  24. 8
  25. 1331
  26. 21
  27. 125
  28. 25
  29. 8
  30. 4
  31. 7
  32. 216
  33. 24
  34. 14
  35. 6
  36. 20
  37. 10
  38. 8
  39. 27
  40. 5

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