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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 610 · 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.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  2. 2.Which of these is a perfect cube? (a) 3424 (b) 3375 (c) 3654
  3. 3.What is 18³? =
  4. 4.Which of these is a perfect cube? (a) 1331 (b) 1563 (c) 1532
  5. 5.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
  6. 6.What is ∛3375? =
  7. 7.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  8. 8.What is ∛6859? =
  9. 9.What is ∛9261? =
  10. 10.What is the smallest whole number by which 4 must be divided to get a perfect cube?
  11. 11.What is the smallest whole number by which 7 must be divided to get a perfect cube?
  12. 12.What is 3³? =
  13. 13.Which of these is a perfect cube? (a) 2744 (b) 3191 (c) 3328
  14. 14.What is the smallest whole number by which 192 must be divided to get a perfect cube?
  15. 15.What is ∛8? =
  16. 16.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  17. 17.What is ∛10648? =
  18. 18.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  19. 19.Which of these is a perfect cube? (a) 512 (b) 591 (c) 579
  20. 20.What is 12³? =
  21. 21.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
  22. 22.What is the smallest whole number by which 9 must be multiplied to get a perfect cube?
  23. 23.What is 20³? =
  24. 24.What is 2³? =
  25. 25.What is ∛5832? =
  26. 26.A big cube of edge 15 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  27. 27.What is ∛729? =
  28. 28.What is ∛8000? =
  29. 29.Which of these is a perfect cube? (a) 64 (b) 73 (c) 90
  30. 30.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  31. 31.What is the smallest whole number by which 200 must be multiplied to get a perfect cube?
  32. 32.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  33. 33.What is 16³? =
  34. 34.What is the smallest whole number by which 49 must be divided to get a perfect cube?
  35. 35.What is ∛125? =
  36. 36.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  37. 37.What is 13³? =
  38. 38.What is 14³? =
  39. 39.A big cube of edge 20 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  40. 40.What is ∛1000? =

Answer key

  1. 7
  2. 3375
  3. 5832
  4. 1331
  5. 16
  6. 15
  7. 13
  8. 19
  9. 21
  10. 4
  11. 7
  12. 27
  13. 2744
  14. 3
  15. 2
  16. 125
  17. 22
  18. 64
  19. 512
  20. 1728
  21. 15
  22. 3
  23. 8000
  24. 8
  25. 18
  26. 125
  27. 9
  28. 20
  29. 64
  30. 4
  31. 5
  32. 8
  33. 4096
  34. 49
  35. 5
  36. 64
  37. 2197
  38. 2744
  39. 125
  40. 10

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