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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 347 · 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) 2197 (b) 2532 (c) 2570
  2. 2.What is the smallest whole number by which 500 must be divided to get a perfect cube?
  3. 3.What is the smallest whole number by which 108 must be divided to get a perfect cube?
  4. 4.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  5. 5.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  6. 6.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  7. 7.Which of these is a perfect cube? (a) 793 (b) 729 (c) 940
  8. 8.A big cube of edge 12 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  9. 9.A big cube of edge 18 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  10. 10.What is 15³? =
  11. 11.What is 5³? =
  12. 12.What is 14³? =
  13. 13.What is ∛343? =
  14. 14.Which of these is a perfect cube? (a) 2866 (b) 3041 (c) 2744
  15. 15.What is ∛27? =
  16. 16.Which of these is a perfect cube? (a) 1390 (b) 1331 (c) 1501
  17. 17.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
  18. 18.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
  19. 19.Which of these is a perfect cube? (a) 3443 (b) 3375 (c) 3562
  20. 20.Which of these is a perfect cube? (a) 97 (b) 91 (c) 64
  21. 21.What is ∛216? =
  22. 22.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  23. 23.What is 4³? =
  24. 24.What is the smallest whole number by which 16 must be divided to get a perfect cube?
  25. 25.Which of these is a perfect cube? (a) 49 (b) 37 (c) 27
  26. 26.A big cube of edge 15 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  27. 27.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?
  28. 28.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  29. 29.Which of these is a perfect cube? (a) 216 (b) 290 (c) 317
  30. 30.What is the smallest whole number by which 24 must be divided to get a perfect cube?
  31. 31.Which of these is a perfect cube? (a) 665 (b) 512 (c) 625
  32. 32.What is ∛4913? =
  33. 33.What is ∛125? =
  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 9³? =
  36. 36.Which of these is a perfect cube? (a) 2021 (b) 1757 (c) 1728
  37. 37.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
  38. 38.What is 3³? =
  39. 39.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  40. 40.What is 13³? =

Answer key

  1. 2197
  2. 4
  3. 4
  4. 10
  5. 27
  6. 216
  7. 729
  8. 64
  9. 216
  10. 3375
  11. 125
  12. 2744
  13. 7
  14. 2744
  15. 3
  16. 1331
  17. 17
  18. 12
  19. 3375
  20. 64
  21. 6
  22. 5
  23. 64
  24. 2
  25. 27
  26. 125
  27. 9
  28. 64
  29. 216
  30. 3
  31. 512
  32. 17
  33. 5
  34. 64
  35. 729
  36. 1728
  37. 19
  38. 27
  39. 125
  40. 2197

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