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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 47 · 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 ∛5832? =
  2. 2.What is 5³? =
  3. 3.Which of these is a perfect cube? (a) 525 (b) 512 (c) 648
  4. 4.What is the smallest whole number by which 392 must be divided to get a perfect cube?
  5. 5.What is 19³? =
  6. 6.A big cube of edge 20 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  7. 7.What is 7³? =
  8. 8.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  9. 9.Which of these is a perfect cube? (a) 2210 (b) 2197 (c) 2283
  10. 10.What is the smallest whole number by which 7 must be multiplied to get a perfect cube?
  11. 11.What is ∛512? =
  12. 12.What is ∛12167? =
  13. 13.Which of these is a perfect cube? (a) 199 (b) 170 (c) 125
  14. 14.A big cube of edge 12 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  15. 15.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
  16. 16.What is ∛1331? =
  17. 17.Which of these is a perfect cube? (a) 233 (b) 289 (c) 216
  18. 18.What is ∛9261? =
  19. 19.What is 4³? =
  20. 20.Which of these is a perfect cube? (a) 3375 (b) 3946 (c) 3550
  21. 21.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
  22. 22.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
  23. 23.Which of these is a perfect cube? (a) 729 (b) 893 (c) 799
  24. 24.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  25. 25.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  26. 26.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  27. 27.What is 14³? =
  28. 28.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  29. 29.What is 17³? =
  30. 30.What is ∛64? =
  31. 31.What is ∛15625? =
  32. 32.What is the smallest whole number by which 56 must be divided to get a perfect cube?
  33. 33.What is 8³? =
  34. 34.What is 6³? =
  35. 35.What is 12³? =
  36. 36.Which of these is a perfect cube? (a) 1470 (b) 1331 (c) 1527
  37. 37.Which of these is a perfect cube? (a) 1010 (b) 1000 (c) 1014
  38. 38.Which of these is a perfect cube? (a) 110 (b) 64 (c) 69
  39. 39.What is 13³? =
  40. 40.What is ∛13824? =

Answer key

  1. 18
  2. 125
  3. 512
  4. 49
  5. 6859
  6. 125
  7. 343
  8. 5
  9. 2197
  10. 49
  11. 8
  12. 23
  13. 125
  14. 64
  15. 20
  16. 11
  17. 216
  18. 21
  19. 64
  20. 3375
  21. 12
  22. 11
  23. 729
  24. 216
  25. 8
  26. 125
  27. 2744
  28. 27
  29. 4913
  30. 4
  31. 25
  32. 7
  33. 512
  34. 216
  35. 1728
  36. 1331
  37. 1000
  38. 64
  39. 2197
  40. 24

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