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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 341 · 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 4096 cubic cm. How long is each edge (in cm)?
  2. 2.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  3. 3.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  4. 4.What is 20³? =
  5. 5.What is ∛9261? =
  6. 6.Which of these is a perfect cube? (a) 3565 (b) 3410 (c) 3375
  7. 7.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  8. 8.What is ∛343? =
  9. 9.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  10. 10.What is the smallest whole number by which 192 must be divided to get a perfect cube?
  11. 11.Which of these is a perfect cube? (a) 951 (b) 737 (c) 729
  12. 12.What is ∛6859? =
  13. 13.What is the smallest whole number by which 648 must be multiplied to get a perfect cube?
  14. 14.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  15. 15.What is ∛125? =
  16. 16.What is ∛64? =
  17. 17.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  18. 18.What is ∛2197? =
  19. 19.What is the smallest whole number by which 56 must be multiplied to get a perfect cube?
  20. 20.What is 17³? =
  21. 21.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
  22. 22.Which of these is a perfect cube? (a) 254 (b) 247 (c) 216
  23. 23.What is 13³? =
  24. 24.A big cube of edge 20 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  25. 25.Which of these is a perfect cube? (a) 73 (b) 95 (c) 64
  26. 26.What is the smallest whole number by which 49 must be multiplied to get a perfect cube?
  27. 27.What is the smallest whole number by which 3125 must be divided to get a perfect cube?
  28. 28.Which of these is a perfect cube? (a) 125 (b) 176 (c) 163
  29. 29.What is ∛1000? =
  30. 30.What is 10³? =
  31. 31.What is 11³? =
  32. 32.What is the smallest whole number by which 16 must be divided to get a perfect cube?
  33. 33.What is ∛3375? =
  34. 34.What is ∛27? =
  35. 35.What is ∛1331? =
  36. 36.What is ∛2744? =
  37. 37.What is ∛12167? =
  38. 38.What is 5³? =
  39. 39.What is the smallest whole number by which 200 must be multiplied to get a perfect cube?
  40. 40.Which of these is a perfect cube? (a) 49 (b) 54 (c) 27

Answer key

  1. 16
  2. 6
  3. 125
  4. 8000
  5. 21
  6. 3375
  7. 5
  8. 7
  9. 4
  10. 3
  11. 729
  12. 19
  13. 9
  14. 13
  15. 5
  16. 4
  17. 10
  18. 13
  19. 49
  20. 4913
  21. 19
  22. 216
  23. 2197
  24. 125
  25. 64
  26. 7
  27. 25
  28. 125
  29. 10
  30. 1000
  31. 1331
  32. 2
  33. 15
  34. 3
  35. 11
  36. 14
  37. 23
  38. 125
  39. 5
  40. 27

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