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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 141 · 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 19³? =
  2. 2.Which of these is a perfect cube? (a) 76 (b) 95 (c) 64
  3. 3.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  4. 4.What is ∛10648? =
  5. 5.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
  6. 6.What is ∛512? =
  7. 7.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?
  8. 8.What is ∛125? =
  9. 9.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  10. 10.What is ∛3375? =
  11. 11.What is 10³? =
  12. 12.What is the smallest whole number by which 576 must be divided to get a perfect cube?
  13. 13.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
  14. 14.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  15. 15.Which of these is a perfect cube? (a) 776 (b) 729 (c) 736
  16. 16.What is ∛12167? =
  17. 17.What is the smallest whole number by which 500 must be multiplied to get a perfect cube?
  18. 18.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  19. 19.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
  20. 20.What is ∛2744? =
  21. 21.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  22. 22.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  23. 23.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  24. 24.What is 4³? =
  25. 25.What is the smallest whole number by which 875 must be divided to get a perfect cube?
  26. 26.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  27. 27.What is 18³? =
  28. 28.Which of these is a perfect cube? (a) 27 (b) 47 (c) 44
  29. 29.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
  30. 30.What is ∛8? =
  31. 31.Which of these is a perfect cube? (a) 2634 (b) 2380 (c) 2197
  32. 32.What is the smallest whole number by which 3136 must be multiplied to get a perfect cube?
  33. 33.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  34. 34.What is 5³? =
  35. 35.What is 12³? =
  36. 36.What is ∛13824? =
  37. 37.What is 13³? =
  38. 38.What is 14³? =
  39. 39.What is 9³? =
  40. 40.What is 2³? =

Answer key

  1. 6859
  2. 64
  3. 3
  4. 22
  5. 14
  6. 8
  7. 9
  8. 5
  9. 5
  10. 15
  11. 1000
  12. 9
  13. 17
  14. 7
  15. 729
  16. 23
  17. 2
  18. 2
  19. 11
  20. 14
  21. 27
  22. 8
  23. 10
  24. 64
  25. 7
  26. 4
  27. 5832
  28. 27
  29. 16
  30. 2
  31. 2197
  32. 7
  33. 8
  34. 125
  35. 1728
  36. 24
  37. 2197
  38. 2744
  39. 729
  40. 8

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