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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 233 · 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 6³? =
  2. 2.What is ∛1331? =
  3. 3.What is the smallest whole number by which 1944 must be divided to get a perfect cube?
  4. 4.Which of these is a perfect cube? (a) 2771 (b) 2744 (c) 3286
  5. 5.What is 20³? =
  6. 6.Which of these is a perfect cube? (a) 1035 (b) 1000 (c) 1163
  7. 7.What is the smallest whole number by which 40 must be multiplied to get a perfect cube?
  8. 8.What is 7³? =
  9. 9.What is ∛343? =
  10. 10.What is ∛3375? =
  11. 11.Which of these is a perfect cube? (a) 3752 (b) 3375 (c) 3549
  12. 12.What is ∛2744? =
  13. 13.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  14. 14.What is 19³? =
  15. 15.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  16. 16.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
  17. 17.What is 13³? =
  18. 18.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
  19. 19.What is ∛10648? =
  20. 20.What is ∛64? =
  21. 21.Which of these is a perfect cube? (a) 129 (b) 132 (c) 125
  22. 22.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  23. 23.Which of these is a perfect cube? (a) 2484 (b) 2197 (c) 2363
  24. 24.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  25. 25.What is the smallest whole number by which 1600 must be multiplied to get a perfect cube?
  26. 26.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  27. 27.What is ∛8000? =
  28. 28.Which of these is a perfect cube? (a) 729 (b) 902 (c) 900
  29. 29.Which of these is a perfect cube? (a) 266 (b) 216 (c) 232
  30. 30.What is the smallest whole number by which 3136 must be divided to get a perfect cube?
  31. 31.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
  32. 32.Which of these is a perfect cube? (a) 385 (b) 343 (c) 433
  33. 33.A big cube of edge 20 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  34. 34.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  35. 35.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
  36. 36.What is the smallest whole number by which 1323 must be multiplied to get a perfect cube?
  37. 37.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  38. 38.What is the smallest whole number by which 625 must be divided to get a perfect cube?
  39. 39.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  40. 40.What is ∛13824? =

Answer key

  1. 216
  2. 11
  3. 9
  4. 2744
  5. 8000
  6. 1000
  7. 25
  8. 343
  9. 7
  10. 15
  11. 3375
  12. 14
  13. 5
  14. 6859
  15. 10
  16. 19
  17. 2197
  18. 12
  19. 22
  20. 4
  21. 125
  22. 64
  23. 2197
  24. 64
  25. 5
  26. 216
  27. 20
  28. 729
  29. 216
  30. 49
  31. 17
  32. 343
  33. 125
  34. 6
  35. 18
  36. 7
  37. 8
  38. 5
  39. 8
  40. 24

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