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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 189 · 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) 2481 (b) 2197 (c) 2297
  2. 2.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
  3. 3.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  4. 4.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
  5. 5.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  6. 6.What is 14³? =
  7. 7.What is ∛512? =
  8. 8.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  9. 9.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  10. 10.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  11. 11.What is 20³? =
  12. 12.What is ∛125? =
  13. 13.What is the smallest whole number by which 56 must be divided to get a perfect cube?
  14. 14.Which of these is a perfect cube? (a) 1682 (b) 1631 (c) 1331
  15. 15.What is ∛2744? =
  16. 16.What is the smallest whole number by which 16 must be multiplied to get a perfect cube?
  17. 17.What is ∛8000? =
  18. 18.What is the smallest whole number by which 192 must be divided to get a perfect cube?
  19. 19.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  20. 20.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
  21. 21.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  22. 22.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  23. 23.Which of these is a perfect cube? (a) 125 (b) 170 (c) 185
  24. 24.What is 4³? =
  25. 25.What is 2³? =
  26. 26.What is 6³? =
  27. 27.What is the smallest whole number by which 7 must be multiplied to get a perfect cube?
  28. 28.Which of these is a perfect cube? (a) 3082 (b) 2889 (c) 2744
  29. 29.What is the smallest whole number by which 200 must be multiplied to get a perfect cube?
  30. 30.Which of these is a perfect cube? (a) 54 (b) 53 (c) 27
  31. 31.What is 9³? =
  32. 32.What is ∛12167? =
  33. 33.What is the smallest whole number by which 2 must be multiplied to get a perfect cube?
  34. 34.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  35. 35.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  36. 36.Which of these is a perfect cube? (a) 563 (b) 512 (c) 630
  37. 37.What is the smallest whole number by which 375 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 17³? =
  40. 40.What is ∛1331? =

Answer key

  1. 2197
  2. 20
  3. 27
  4. 14
  5. 10
  6. 2744
  7. 8
  8. 27
  9. 64
  10. 8
  11. 8000
  12. 5
  13. 7
  14. 1331
  15. 14
  16. 4
  17. 20
  18. 3
  19. 2
  20. 19
  21. 5
  22. 64
  23. 125
  24. 64
  25. 8
  26. 216
  27. 49
  28. 2744
  29. 5
  30. 27
  31. 729
  32. 23
  33. 4
  34. 8
  35. 64
  36. 512
  37. 3
  38. 125
  39. 4913
  40. 11

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