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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 91 · 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 18³? =
  2. 2.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  3. 3.What is 3³? =
  4. 4.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
  5. 5.What is the smallest whole number by which 192 must be divided to get a perfect cube?
  6. 6.What is 12³? =
  7. 7.What is 17³? =
  8. 8.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  9. 9.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  10. 10.What is the smallest whole number by which 3 must be multiplied to get a perfect cube?
  11. 11.What is the smallest whole number by which 875 must be divided to get a perfect cube?
  12. 12.What is the smallest whole number by which 576 must be divided to get a perfect cube?
  13. 13.What is 14³? =
  14. 14.What is ∛12167? =
  15. 15.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  16. 16.What is 9³? =
  17. 17.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  18. 18.What is ∛8000? =
  19. 19.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  20. 20.Which of these is a perfect cube? (a) 2566 (b) 2264 (c) 2197
  21. 21.What is the smallest whole number by which 32 must be multiplied to get a perfect cube?
  22. 22.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
  23. 23.What is 16³? =
  24. 24.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
  25. 25.A big cube of edge 12 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  26. 26.What is 2³? =
  27. 27.Which of these is a perfect cube? (a) 216 (b) 237 (c) 297
  28. 28.What is 5³? =
  29. 29.Which of these is a perfect cube? (a) 125 (b) 176 (c) 147
  30. 30.Which of these is a perfect cube? (a) 3530 (b) 3375 (c) 3874
  31. 31.What is 4³? =
  32. 32.What is ∛125? =
  33. 33.What is ∛512? =
  34. 34.A big cube of edge 6 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  35. 35.What is ∛729? =
  36. 36.What is the smallest whole number by which 49 must be divided to get a perfect cube?
  37. 37.What is 10³? =
  38. 38.What is the smallest whole number by which 1944 must be multiplied to get a perfect cube?
  39. 39.A big cube of edge 18 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  40. 40.What is 20³? =

Answer key

  1. 5832
  2. 13
  3. 27
  4. 18
  5. 3
  6. 1728
  7. 4913
  8. 125
  9. 10
  10. 9
  11. 7
  12. 9
  13. 2744
  14. 23
  15. 2
  16. 729
  17. 64
  18. 20
  19. 8
  20. 2197
  21. 2
  22. 11
  23. 4096
  24. 19
  25. 64
  26. 8
  27. 216
  28. 125
  29. 125
  30. 3375
  31. 64
  32. 5
  33. 8
  34. 27
  35. 9
  36. 49
  37. 1000
  38. 3
  39. 216
  40. 8000

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