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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 204 · 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) 2203 (b) 2652 (c) 2197
  2. 2.Which of these is a perfect cube? (a) 125 (b) 136 (c) 155
  3. 3.Which of these is a perfect cube? (a) 273 (b) 316 (c) 216
  4. 4.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  5. 5.What is ∛4096? =
  6. 6.What is 19³? =
  7. 7.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  8. 8.Which of these is a perfect cube? (a) 3653 (b) 3375 (c) 3711
  9. 9.Which of these is a perfect cube? (a) 577 (b) 512 (c) 571
  10. 10.What is the smallest whole number by which 1944 must be divided to get a perfect cube?
  11. 11.What is ∛2744? =
  12. 12.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  13. 13.What is ∛4913? =
  14. 14.What is the smallest whole number by which 3 must be divided to get a perfect cube?
  15. 15.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  16. 16.Which of these is a perfect cube? (a) 29 (b) 27 (c) 36
  17. 17.What is the smallest whole number by which 3 must be multiplied to get a perfect cube?
  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.What is 13³? =
  20. 20.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  21. 21.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  22. 22.What is ∛10648? =
  23. 23.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  24. 24.Which of these is a perfect cube? (a) 1025 (b) 1000 (c) 1057
  25. 25.What is ∛3375? =
  26. 26.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  27. 27.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
  28. 28.What is the smallest whole number by which 448 must be multiplied to get a perfect cube?
  29. 29.What is 12³? =
  30. 30.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
  31. 31.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  32. 32.What is 8³? =
  33. 33.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  34. 34.A big cube of edge 15 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  35. 35.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  36. 36.What is ∛729? =
  37. 37.Which of these is a perfect cube? (a) 729 (b) 773 (c) 810
  38. 38.What is ∛1331? =
  39. 39.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
  40. 40.What is the smallest whole number by which 432 must be multiplied to get a perfect cube?

Answer key

  1. 2197
  2. 125
  3. 216
  4. 216
  5. 16
  6. 6859
  7. 64
  8. 3375
  9. 512
  10. 9
  11. 14
  12. 4
  13. 17
  14. 3
  15. 216
  16. 27
  17. 9
  18. 216
  19. 2197
  20. 8
  21. 8
  22. 22
  23. 3
  24. 1000
  25. 15
  26. 27
  27. 14
  28. 49
  29. 1728
  30. 12
  31. 5
  32. 512
  33. 27
  34. 125
  35. 8
  36. 9
  37. 729
  38. 11
  39. 20
  40. 4

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