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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 32 · 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 ∛4096? =
  2. 2.What is ∛4913? =
  3. 3.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  4. 4.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  5. 5.What is ∛15625? =
  6. 6.Which of these is a perfect cube? (a) 66 (b) 87 (c) 64
  7. 7.What is 4³? =
  8. 8.What is ∛1331? =
  9. 9.A big cube of edge 6 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  10. 10.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  11. 11.What is ∛512? =
  12. 12.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  13. 13.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  14. 14.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
  15. 15.Which of these is a perfect cube? (a) 547 (b) 512 (c) 546
  16. 16.What is ∛64? =
  17. 17.What is the smallest whole number by which 81 must be multiplied to get a perfect cube?
  18. 18.What is ∛27? =
  19. 19.What is ∛6859? =
  20. 20.What is ∛3375? =
  21. 21.Which of these is a perfect cube? (a) 197 (b) 125 (c) 200
  22. 22.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  23. 23.What is ∛9261? =
  24. 24.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  25. 25.What is the smallest whole number by which 200 must be multiplied to get a perfect cube?
  26. 26.What is the smallest whole number by which 32 must be multiplied to get a perfect cube?
  27. 27.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  28. 28.What is 19³? =
  29. 29.What is ∛5832? =
  30. 30.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
  31. 31.Which of these is a perfect cube? (a) 1000 (b) 1126 (c) 1242
  32. 32.What is 17³? =
  33. 33.What is the smallest whole number by which 56 must be multiplied to get a perfect cube?
  34. 34.What is 2³? =
  35. 35.What is the smallest whole number by which 25 must be divided to get a perfect cube?
  36. 36.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
  37. 37.Which of these is a perfect cube? (a) 3515 (b) 3978 (c) 3375
  38. 38.What is ∛12167? =
  39. 39.Which of these is a perfect cube? (a) 1465 (b) 1331 (c) 1518
  40. 40.Which of these is a perfect cube? (a) 2437 (b) 2197 (c) 2304

Answer key

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

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