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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 562 · 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 16³? =
  2. 2.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  3. 3.What is 14³? =
  4. 4.What is 4³? =
  5. 5.What is ∛216? =
  6. 6.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
  7. 7.What is the smallest whole number by which 128 must be multiplied to get a perfect cube?
  8. 8.What is the smallest whole number by which 56 must be divided to get a perfect cube?
  9. 9.Which of these is a perfect cube? (a) 149 (b) 125 (c) 156
  10. 10.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  11. 11.What is the smallest whole number by which 250 must be divided to get a perfect cube?
  12. 12.What is ∛2744? =
  13. 13.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  14. 14.What is 13³? =
  15. 15.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  16. 16.What is ∛13824? =
  17. 17.A big cube of edge 12 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  18. 18.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  19. 19.What is the smallest whole number by which 576 must be multiplied to get a perfect cube?
  20. 20.Which of these is a perfect cube? (a) 2744 (b) 3025 (c) 3325
  21. 21.What is 2³? =
  22. 22.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  23. 23.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  24. 24.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  25. 25.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
  26. 26.What is ∛343? =
  27. 27.What is 8³? =
  28. 28.Which of these is a perfect cube? (a) 1331 (b) 1419 (c) 1651
  29. 29.What is 18³? =
  30. 30.Which of these is a perfect cube? (a) 2242 (b) 2197 (c) 2669
  31. 31.Which of these is a perfect cube? (a) 729 (b) 789 (c) 847
  32. 32.What is ∛1331? =
  33. 33.What is ∛15625? =
  34. 34.What is the smallest whole number by which 81 must be divided to get a perfect cube?
  35. 35.What is the smallest whole number by which 864 must be divided to get a perfect cube?
  36. 36.What is the smallest whole number by which 320 must be divided to get a perfect cube?
  37. 37.A big cube of edge 6 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  38. 38.Which of these is a perfect cube? (a) 676 (b) 679 (c) 512
  39. 39.What is the smallest whole number by which 54 must be divided to get a perfect cube?
  40. 40.What is 7³? =

Answer key

  1. 4096
  2. 4
  3. 2744
  4. 64
  5. 6
  6. 19
  7. 4
  8. 7
  9. 125
  10. 27
  11. 2
  12. 14
  13. 8
  14. 2197
  15. 216
  16. 24
  17. 64
  18. 6
  19. 3
  20. 2744
  21. 8
  22. 5
  23. 2
  24. 10
  25. 20
  26. 7
  27. 512
  28. 1331
  29. 5832
  30. 2197
  31. 729
  32. 11
  33. 25
  34. 3
  35. 4
  36. 5
  37. 27
  38. 512
  39. 2
  40. 343

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