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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 879 · 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 17³? =
  2. 2.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  3. 3.A big cube of edge 15 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  4. 4.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
  5. 5.What is ∛4913? =
  6. 6.What is the smallest whole number by which 7 must be divided to get a perfect cube?
  7. 7.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
  8. 8.What is the smallest whole number by which 108 must be divided to get a perfect cube?
  9. 9.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  10. 10.What is ∛15625? =
  11. 11.Which of these is a perfect cube? (a) 1102 (b) 1000 (c) 1151
  12. 12.What is ∛216? =
  13. 13.What is ∛9261? =
  14. 14.What is the smallest whole number by which 2 must be divided to get a perfect cube?
  15. 15.What is 11³? =
  16. 16.A big cube of edge 12 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  17. 17.What is 10³? =
  18. 18.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  19. 19.What is ∛12167? =
  20. 20.What is 3³? =
  21. 21.What is ∛1331? =
  22. 22.What is the smallest whole number by which 72 must be multiplied to get a perfect cube?
  23. 23.What is the smallest whole number by which 16 must be divided to get a perfect cube?
  24. 24.Which of these is a perfect cube? (a) 426 (b) 343 (c) 381
  25. 25.What is the smallest whole number by which 3 must be divided to get a perfect cube?
  26. 26.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  27. 27.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  28. 28.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  29. 29.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  30. 30.What is 2³? =
  31. 31.What is the smallest whole number by which 49 must be multiplied to get a perfect cube?
  32. 32.What is 19³? =
  33. 33.Which of these is a perfect cube? (a) 3290 (b) 2845 (c) 2744
  34. 34.What is ∛1728? =
  35. 35.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  36. 36.Which of these is a perfect cube? (a) 67 (b) 64 (c) 92
  37. 37.What is the smallest whole number by which 875 must be divided to get a perfect cube?
  38. 38.What is ∛6859? =
  39. 39.What is 5³? =
  40. 40.What is ∛64? =

Answer key

  1. 4913
  2. 13
  3. 125
  4. 16
  5. 17
  6. 7
  7. 12
  8. 4
  9. 8
  10. 25
  11. 1000
  12. 6
  13. 21
  14. 2
  15. 1331
  16. 64
  17. 1000
  18. 64
  19. 23
  20. 27
  21. 11
  22. 3
  23. 2
  24. 343
  25. 3
  26. 125
  27. 27
  28. 4
  29. 6
  30. 8
  31. 7
  32. 6859
  33. 2744
  34. 12
  35. 216
  36. 64
  37. 7
  38. 19
  39. 125
  40. 4

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