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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 753 · 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 10³? =
  2. 2.What is the smallest whole number by which 1512 must be multiplied to get a perfect cube?
  3. 3.What is ∛343? =
  4. 4.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  5. 5.What is ∛10648? =
  6. 6.What is 16³? =
  7. 7.What is ∛8000? =
  8. 8.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  9. 9.What is ∛5832? =
  10. 10.What is 14³? =
  11. 11.Which of these is a perfect cube? (a) 2744 (b) 2922 (c) 2875
  12. 12.What is 2³? =
  13. 13.What is ∛512? =
  14. 14.Which of these is a perfect cube? (a) 1369 (b) 1331 (c) 1393
  15. 15.What is ∛125? =
  16. 16.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
  17. 17.What is the smallest whole number by which 189 must be divided to get a perfect cube?
  18. 18.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  19. 19.What is ∛6859? =
  20. 20.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
  21. 21.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  22. 22.What is ∛27? =
  23. 23.What is ∛12167? =
  24. 24.What is ∛64? =
  25. 25.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  26. 26.A big cube of edge 18 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  27. 27.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  28. 28.What is ∛1000? =
  29. 29.Which of these is a perfect cube? (a) 1728 (b) 2141 (c) 2012
  30. 30.Which of these is a perfect cube? (a) 2387 (b) 2460 (c) 2197
  31. 31.What is 5³? =
  32. 32.What is the smallest whole number by which 1080 must be divided to get a perfect cube?
  33. 33.Which of these is a perfect cube? (a) 216 (b) 319 (c) 241
  34. 34.Which of these is a perfect cube? (a) 133 (b) 171 (c) 125
  35. 35.What is the smallest whole number by which 500 must be multiplied to get a perfect cube?
  36. 36.What is 15³? =
  37. 37.What is 17³? =
  38. 38.What is ∛3375? =
  39. 39.What is ∛8? =
  40. 40.What is the smallest whole number by which 5 must be divided to get a perfect cube?

Answer key

  1. 1000
  2. 49
  3. 7
  4. 8
  5. 22
  6. 4096
  7. 20
  8. 10
  9. 18
  10. 2744
  11. 2744
  12. 8
  13. 8
  14. 1331
  15. 5
  16. 19
  17. 7
  18. 8
  19. 19
  20. 20
  21. 216
  22. 3
  23. 23
  24. 4
  25. 64
  26. 216
  27. 3
  28. 10
  29. 1728
  30. 2197
  31. 125
  32. 5
  33. 216
  34. 125
  35. 2
  36. 3375
  37. 4913
  38. 15
  39. 2
  40. 5

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