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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 314 · 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 11³? =
  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 8³? =
  4. 4.What is ∛3375? =
  5. 5.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  6. 6.What is 12³? =
  7. 7.What is 19³? =
  8. 8.Which of these is a perfect cube? (a) 27 (b) 45 (c) 41
  9. 9.What is ∛9261? =
  10. 10.What is the smallest whole number by which 1944 must be divided to get a perfect cube?
  11. 11.What is the smallest whole number by which 625 must be multiplied to get a perfect cube?
  12. 12.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  13. 13.What is the smallest whole number by which 7 must be multiplied to get a perfect cube?
  14. 14.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
  15. 15.What is ∛13824? =
  16. 16.What is 4³? =
  17. 17.What is the smallest whole number by which 256 must be multiplied to get a perfect cube?
  18. 18.What is the smallest whole number by which 3 must be multiplied to get a perfect cube?
  19. 19.What is 15³? =
  20. 20.What is ∛1728? =
  21. 21.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
  22. 22.What is 3³? =
  23. 23.What is ∛15625? =
  24. 24.Which of these is a perfect cube? (a) 177 (b) 181 (c) 125
  25. 25.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  26. 26.What is the smallest whole number by which 72 must be multiplied to get a perfect cube?
  27. 27.Which of these is a perfect cube? (a) 297 (b) 216 (c) 303
  28. 28.Which of these is a perfect cube? (a) 1000 (b) 1228 (c) 1041
  29. 29.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  30. 30.What is 17³? =
  31. 31.What is 2³? =
  32. 32.A big cube of edge 20 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  33. 33.What is ∛2197? =
  34. 34.What is 18³? =
  35. 35.Which of these is a perfect cube? (a) 591 (b) 702 (c) 512
  36. 36.What is the smallest whole number by which 32 must be divided to get a perfect cube?
  37. 37.What is the smallest whole number by which 1600 must be multiplied to get a perfect cube?
  38. 38.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
  39. 39.A big cube of edge 18 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  40. 40.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?

Answer key

  1. 1331
  2. 64
  3. 512
  4. 15
  5. 5
  6. 1728
  7. 6859
  8. 27
  9. 21
  10. 9
  11. 25
  12. 10
  13. 49
  14. 11
  15. 24
  16. 64
  17. 2
  18. 9
  19. 3375
  20. 12
  21. 14
  22. 27
  23. 25
  24. 125
  25. 6
  26. 3
  27. 216
  28. 1000
  29. 125
  30. 4913
  31. 8
  32. 125
  33. 13
  34. 5832
  35. 512
  36. 4
  37. 5
  38. 15
  39. 216
  40. 2

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