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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 363 · 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 ∛8000? =
  2. 2.What is ∛15625? =
  3. 3.What is the smallest whole number by which 1080 must be divided to get a perfect cube?
  4. 4.What is 4³? =
  5. 5.What is 17³? =
  6. 6.Which of these is a perfect cube? (a) 39 (b) 27 (c) 54
  7. 7.What is ∛512? =
  8. 8.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
  9. 9.What is 20³? =
  10. 10.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  11. 11.What is 13³? =
  12. 12.What is the smallest whole number by which 675 must be divided to get a perfect cube?
  13. 13.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  14. 14.Which of these is a perfect cube? (a) 3494 (b) 3375 (c) 3818
  15. 15.A big cube of edge 20 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  16. 16.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  17. 17.Which of these is a perfect cube? (a) 1728 (b) 1844 (c) 2117
  18. 18.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  19. 19.What is the smallest whole number by which 256 must be multiplied to get a perfect cube?
  20. 20.What is 11³? =
  21. 21.What is the smallest whole number by which 16 must be multiplied to get a perfect cube?
  22. 22.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  23. 23.Which of these is a perfect cube? (a) 216 (b) 258 (c) 246
  24. 24.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  25. 25.What is ∛343? =
  26. 26.Which of these is a perfect cube? (a) 1217 (b) 1153 (c) 1000
  27. 27.Which of these is a perfect cube? (a) 847 (b) 729 (c) 896
  28. 28.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  29. 29.What is 16³? =
  30. 30.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  31. 31.What is ∛1728? =
  32. 32.What is 2³? =
  33. 33.What is ∛125? =
  34. 34.What is the smallest whole number by which 5 must be divided to get a perfect cube?
  35. 35.What is 18³? =
  36. 36.Which of these is a perfect cube? (a) 566 (b) 512 (c) 611
  37. 37.What is 8³? =
  38. 38.What is ∛12167? =
  39. 39.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
  40. 40.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?

Answer key

  1. 20
  2. 25
  3. 5
  4. 64
  5. 4913
  6. 27
  7. 8
  8. 14
  9. 8000
  10. 27
  11. 2197
  12. 25
  13. 6
  14. 3375
  15. 125
  16. 7
  17. 1728
  18. 10
  19. 2
  20. 1331
  21. 4
  22. 3
  23. 216
  24. 13
  25. 7
  26. 1000
  27. 729
  28. 8
  29. 4096
  30. 8
  31. 12
  32. 8
  33. 5
  34. 5
  35. 5832
  36. 512
  37. 512
  38. 23
  39. 11
  40. 16

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