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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 809 · 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 the smallest whole number by which 250 must be divided to get a perfect cube?
  2. 2.What is ∛15625? =
  3. 3.What is 7³? =
  4. 4.What is 10³? =
  5. 5.What is 19³? =
  6. 6.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  7. 7.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  8. 8.Which of these is a perfect cube? (a) 64 (b) 108 (c) 71
  9. 9.What is ∛1000? =
  10. 10.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  11. 11.What is ∛1331? =
  12. 12.What is 20³? =
  13. 13.Which of these is a perfect cube? (a) 2258 (b) 2197 (c) 2384
  14. 14.A big cube of edge 18 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  15. 15.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
  16. 16.What is 6³? =
  17. 17.Which of these is a perfect cube? (a) 2849 (b) 3238 (c) 2744
  18. 18.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  19. 19.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  20. 20.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  21. 21.What is the smallest whole number by which 24 must be multiplied to get a perfect cube?
  22. 22.What is the smallest whole number by which 200 must be multiplied to get a perfect cube?
  23. 23.What is ∛3375? =
  24. 24.What is the smallest whole number by which 7 must be multiplied to get a perfect cube?
  25. 25.What is the smallest whole number by which 49 must be multiplied to get a perfect cube?
  26. 26.What is 11³? =
  27. 27.What is 15³? =
  28. 28.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
  29. 29.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  30. 30.What is the smallest whole number by which 81 must be multiplied to get a perfect cube?
  31. 31.What is 5³? =
  32. 32.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
  33. 33.What is ∛8? =
  34. 34.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  35. 35.What is the smallest whole number by which 9 must be multiplied to get a perfect cube?
  36. 36.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  37. 37.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
  38. 38.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?
  39. 39.What is 16³? =
  40. 40.Which of these is a perfect cube? (a) 27 (b) 28 (c) 51

Answer key

  1. 2
  2. 25
  3. 343
  4. 1000
  5. 6859
  6. 27
  7. 4
  8. 64
  9. 10
  10. 8
  11. 11
  12. 8000
  13. 2197
  14. 216
  15. 19
  16. 216
  17. 2744
  18. 216
  19. 13
  20. 3
  21. 9
  22. 5
  23. 15
  24. 49
  25. 7
  26. 1331
  27. 3375
  28. 17
  29. 8
  30. 9
  31. 125
  32. 14
  33. 2
  34. 64
  35. 3
  36. 216
  37. 20
  38. 9
  39. 4096
  40. 27

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