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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 763 · 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 ∛2744? =
  2. 2.What is ∛4913? =
  3. 3.What is ∛343? =
  4. 4.What is the smallest whole number by which 5 must be multiplied to get a perfect cube?
  5. 5.Which of these is a perfect cube? (a) 3022 (b) 2744 (c) 3157
  6. 6.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
  7. 7.Which of these is a perfect cube? (a) 421 (b) 478 (c) 343
  8. 8.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  9. 9.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  10. 10.Which of these is a perfect cube? (a) 2306 (b) 2197 (c) 2473
  11. 11.What is 13³? =
  12. 12.What is the smallest whole number by which 1512 must be multiplied to get a perfect cube?
  13. 13.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
  14. 14.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  15. 15.What is ∛512? =
  16. 16.What is the smallest whole number by which 200 must be multiplied to get a perfect cube?
  17. 17.What is 18³? =
  18. 18.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  19. 19.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
  20. 20.What is 20³? =
  21. 21.Which of these is a perfect cube? (a) 512 (b) 651 (c) 532
  22. 22.What is 11³? =
  23. 23.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  24. 24.What is 6³? =
  25. 25.What is ∛729? =
  26. 26.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  27. 27.What is the smallest whole number by which 576 must be multiplied to get a perfect cube?
  28. 28.What is 2³? =
  29. 29.A big cube of edge 12 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  30. 30.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  31. 31.Which of these is a perfect cube? (a) 27 (b) 31 (c) 52
  32. 32.What is 5³? =
  33. 33.A big cube of edge 6 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  34. 34.What is ∛15625? =
  35. 35.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  36. 36.What is the smallest whole number by which 2 must be multiplied to get a perfect cube?
  37. 37.What is 19³? =
  38. 38.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  39. 39.Which of these is a perfect cube? (a) 80 (b) 100 (c) 64
  40. 40.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?

Answer key

  1. 14
  2. 17
  3. 7
  4. 25
  5. 2744
  6. 20
  7. 343
  8. 64
  9. 3
  10. 2197
  11. 2197
  12. 49
  13. 18
  14. 5
  15. 8
  16. 5
  17. 5832
  18. 8
  19. 15
  20. 8000
  21. 512
  22. 1331
  23. 216
  24. 216
  25. 9
  26. 27
  27. 3
  28. 8
  29. 64
  30. 125
  31. 27
  32. 125
  33. 27
  34. 25
  35. 6
  36. 4
  37. 6859
  38. 2
  39. 64
  40. 10

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