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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 788 · 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.Which of these is a perfect cube? (a) 3111 (b) 2744 (c) 3236
  2. 2.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  3. 3.What is 11³? =
  4. 4.A big cube of edge 18 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  5. 5.What is the smallest whole number by which 56 must be multiplied to get a perfect cube?
  6. 6.What is 2³? =
  7. 7.Which of these is a perfect cube? (a) 53 (b) 41 (c) 27
  8. 8.A big cube of edge 20 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  9. 9.What is 12³? =
  10. 10.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  11. 11.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  12. 12.Which of these is a perfect cube? (a) 152 (b) 185 (c) 125
  13. 13.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  14. 14.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
  15. 15.What is the smallest whole number by which 135 must be multiplied to get a perfect cube?
  16. 16.What is the smallest whole number by which 448 must be multiplied to get a perfect cube?
  17. 17.What is ∛5832? =
  18. 18.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
  19. 19.What is 4³? =
  20. 20.Which of these is a perfect cube? (a) 73 (b) 64 (c) 66
  21. 21.Which of these is a perfect cube? (a) 512 (b) 583 (c) 533
  22. 22.What is ∛27? =
  23. 23.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
  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 big cube of edge 12 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  26. 26.What is 14³? =
  27. 27.What is 16³? =
  28. 28.What is the smallest whole number by which 10584 must be multiplied to get a perfect cube?
  29. 29.What is the smallest whole number by which 392 must be divided to get a perfect cube?
  30. 30.What is the smallest whole number by which 56 must be divided to get a perfect cube?
  31. 31.What is the smallest whole number by which 16 must be divided to get a perfect cube?
  32. 32.What is the smallest whole number by which 576 must be multiplied to get a perfect cube?
  33. 33.Which of these is a perfect cube? (a) 358 (b) 383 (c) 343
  34. 34.What is 13³? =
  35. 35.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  36. 36.What is ∛10648? =
  37. 37.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  38. 38.What is the smallest whole number by which 135 must be divided to get a perfect cube?
  39. 39.What is ∛729? =
  40. 40.What is 7³? =

Answer key

  1. 2744
  2. 64
  3. 1331
  4. 216
  5. 49
  6. 8
  7. 27
  8. 125
  9. 1728
  10. 125
  11. 216
  12. 125
  13. 27
  14. 14
  15. 25
  16. 49
  17. 18
  18. 19
  19. 64
  20. 64
  21. 512
  22. 3
  23. 17
  24. 216
  25. 64
  26. 2744
  27. 4096
  28. 7
  29. 49
  30. 7
  31. 2
  32. 3
  33. 343
  34. 2197
  35. 3
  36. 22
  37. 8
  38. 5
  39. 9
  40. 343

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