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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 266 · 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.Which of these is a perfect cube? (a) 1728 (b) 2128 (c) 2105
  2. 2.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  3. 3.Which of these is a perfect cube? (a) 512 (b) 573 (c) 558
  4. 4.What is ∛15625? =
  5. 5.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  6. 6.Which of these is a perfect cube? (a) 2197 (b) 2570 (c) 2563
  7. 7.What is ∛729? =
  8. 8.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  9. 9.What is the smallest whole number by which 864 must be divided to get a perfect cube?
  10. 10.What is 4³? =
  11. 11.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  12. 12.What is 13³? =
  13. 13.What is the smallest whole number by which 192 must be multiplied to get a perfect cube?
  14. 14.Which of these is a perfect cube? (a) 66 (b) 111 (c) 64
  15. 15.What is 18³? =
  16. 16.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
  17. 17.What is the smallest whole number by which 392 must be divided to get a perfect cube?
  18. 18.What is ∛1331? =
  19. 19.Which of these is a perfect cube? (a) 27 (b) 44 (c) 32
  20. 20.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  21. 21.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  22. 22.Which of these is a perfect cube? (a) 907 (b) 948 (c) 729
  23. 23.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  24. 24.What is the smallest whole number by which 54 must be divided to get a perfect cube?
  25. 25.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  26. 26.What is ∛512? =
  27. 27.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  28. 28.A big cube of edge 15 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  29. 29.What is ∛2744? =
  30. 30.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  31. 31.What is ∛125? =
  32. 32.Which of these is a perfect cube? (a) 125 (b) 198 (c) 130
  33. 33.What is the smallest whole number by which 3 must be multiplied to get a perfect cube?
  34. 34.What is ∛216? =
  35. 35.What is the smallest whole number by which 81 must be multiplied to get a perfect cube?
  36. 36.What is 2³? =
  37. 37.What is 7³? =
  38. 38.What is 20³? =
  39. 39.What is ∛343? =
  40. 40.Which of these is a perfect cube? (a) 1229 (b) 1187 (c) 1000

Answer key

  1. 1728
  2. 3
  3. 512
  4. 25
  5. 216
  6. 2197
  7. 9
  8. 8
  9. 4
  10. 64
  11. 27
  12. 2197
  13. 9
  14. 64
  15. 5832
  16. 11
  17. 49
  18. 11
  19. 27
  20. 7
  21. 216
  22. 729
  23. 13
  24. 2
  25. 64
  26. 8
  27. 8
  28. 125
  29. 14
  30. 64
  31. 5
  32. 125
  33. 9
  34. 6
  35. 9
  36. 8
  37. 343
  38. 8000
  39. 7
  40. 1000

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