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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 243 · 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 ∛64? =
  2. 2.Which of these is a perfect cube? (a) 1728 (b) 1842 (c) 2140
  3. 3.What is the smallest whole number by which 320 must be divided to get a perfect cube?
  4. 4.What is 9³? =
  5. 5.What is the smallest whole number by which 56 must be multiplied to get a perfect cube?
  6. 6.What is the smallest whole number by which 72 must be multiplied to get a perfect cube?
  7. 7.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
  8. 8.What is ∛1331? =
  9. 9.Which of these is a perfect cube? (a) 3146 (b) 2744 (c) 2774
  10. 10.What is 4³? =
  11. 11.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
  12. 12.What is ∛125? =
  13. 13.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  14. 14.What is the smallest whole number by which 56 must be divided to get a perfect cube?
  15. 15.What is ∛216? =
  16. 16.What is the smallest whole number by which 576 must be divided to get a perfect cube?
  17. 17.Which of these is a perfect cube? (a) 755 (b) 729 (c) 785
  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 6859 cubic cm. How long is each edge (in cm)?
  20. 20.What is the smallest whole number by which 128 must be divided to get a perfect cube?
  21. 21.What is ∛9261? =
  22. 22.What is 2³? =
  23. 23.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  24. 24.What is 8³? =
  25. 25.What is ∛3375? =
  26. 26.What is the smallest whole number by which 250 must be divided to get a perfect cube?
  27. 27.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
  28. 28.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
  29. 29.Which of these is a perfect cube? (a) 64 (b) 112 (c) 92
  30. 30.What is ∛13824? =
  31. 31.Which of these is a perfect cube? (a) 1229 (b) 1000 (c) 1103
  32. 32.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?
  33. 33.A big cube of edge 6 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  34. 34.What is ∛8000? =
  35. 35.What is the smallest whole number by which 3136 must be multiplied to get a perfect cube?
  36. 36.Which of these is a perfect cube? (a) 323 (b) 216 (c) 322
  37. 37.What is ∛4096? =
  38. 38.What is ∛2197? =
  39. 39.Which of these is a perfect cube? (a) 624 (b) 512 (c) 608
  40. 40.Which of these is a perfect cube? (a) 38 (b) 39 (c) 27

Answer key

  1. 4
  2. 1728
  3. 5
  4. 729
  5. 49
  6. 3
  7. 16
  8. 11
  9. 2744
  10. 64
  11. 18
  12. 5
  13. 125
  14. 7
  15. 6
  16. 9
  17. 729
  18. 2
  19. 19
  20. 2
  21. 21
  22. 8
  23. 125
  24. 512
  25. 15
  26. 2
  27. 17
  28. 11
  29. 64
  30. 24
  31. 1000
  32. 9
  33. 27
  34. 20
  35. 7
  36. 216
  37. 16
  38. 13
  39. 512
  40. 27

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