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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 732 · 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 big cube of edge 6 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  2. 2.Which of these is a perfect cube? (a) 216 (b) 291 (c) 236
  3. 3.What is the smallest whole number by which 500 must be multiplied to get a perfect cube?
  4. 4.Which of these is a perfect cube? (a) 364 (b) 343 (c) 434
  5. 5.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
  6. 6.What is the smallest whole number by which 375 must be divided to get a perfect cube?
  7. 7.What is ∛216? =
  8. 8.What is ∛512? =
  9. 9.What is the smallest whole number by which 81 must be multiplied to get a perfect cube?
  10. 10.Which of these is a perfect cube? (a) 1159 (b) 1263 (c) 1000
  11. 11.What is the smallest whole number by which 3 must be divided to get a perfect cube?
  12. 12.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  13. 13.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  14. 14.What is 2³? =
  15. 15.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  16. 16.Which of these is a perfect cube? (a) 2197 (b) 2406 (c) 2548
  17. 17.What is ∛343? =
  18. 18.What is 8³? =
  19. 19.What is 16³? =
  20. 20.What is 20³? =
  21. 21.What is ∛13824? =
  22. 22.What is 12³? =
  23. 23.Which of these is a perfect cube? (a) 143 (b) 173 (c) 125
  24. 24.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  25. 25.What is ∛3375? =
  26. 26.What is the smallest whole number by which 128 must be multiplied to get a perfect cube?
  27. 27.What is 9³? =
  28. 28.What is ∛1728? =
  29. 29.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  30. 30.What is the smallest whole number by which 256 must be multiplied to get a perfect cube?
  31. 31.What is the smallest whole number by which 40 must be divided to get a perfect cube?
  32. 32.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
  33. 33.A big cube of edge 12 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  34. 34.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  35. 35.What is 14³? =
  36. 36.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
  37. 37.What is the smallest whole number by which 4 must be divided to get a perfect cube?
  38. 38.A big cube of edge 15 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  39. 39.What is ∛1000? =
  40. 40.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?

Answer key

  1. 27
  2. 216
  3. 2
  4. 343
  5. 17
  6. 3
  7. 6
  8. 8
  9. 9
  10. 1000
  11. 3
  12. 7
  13. 6
  14. 8
  15. 27
  16. 2197
  17. 7
  18. 512
  19. 4096
  20. 8000
  21. 24
  22. 1728
  23. 125
  24. 216
  25. 15
  26. 4
  27. 729
  28. 12
  29. 10
  30. 2
  31. 5
  32. 15
  33. 64
  34. 64
  35. 2744
  36. 19
  37. 4
  38. 125
  39. 10
  40. 16

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