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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 191 · 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.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  2. 2.Which of these is a perfect cube? (a) 2267 (b) 2271 (c) 2197
  3. 3.What is 14³? =
  4. 4.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  5. 5.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  6. 6.What is 7³? =
  7. 7.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  8. 8.What is ∛512? =
  9. 9.Which of these is a perfect cube? (a) 316 (b) 238 (c) 216
  10. 10.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  11. 11.What is ∛27? =
  12. 12.Which of these is a perfect cube? (a) 1011 (b) 1042 (c) 1000
  13. 13.What is the smallest whole number by which 2 must be divided to get a perfect cube?
  14. 14.What is 18³? =
  15. 15.What is the smallest whole number by which 1512 must be divided to get a perfect cube?
  16. 16.What is the smallest whole number by which 9 must be multiplied to get a perfect cube?
  17. 17.What is ∛15625? =
  18. 18.Which of these is a perfect cube? (a) 3207 (b) 3036 (c) 2744
  19. 19.What is 5³? =
  20. 20.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
  21. 21.What is the smallest whole number by which 625 must be multiplied to get a perfect cube?
  22. 22.What is the smallest whole number by which 16 must be divided to get a perfect cube?
  23. 23.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  24. 24.What is the smallest whole number by which 25 must be multiplied to get a perfect cube?
  25. 25.Which of these is a perfect cube? (a) 27 (b) 34 (c) 49
  26. 26.Which of these is a perfect cube? (a) 749 (b) 922 (c) 729
  27. 27.What is ∛1331? =
  28. 28.What is the smallest whole number by which 1600 must be multiplied to get a perfect cube?
  29. 29.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  30. 30.What is the smallest whole number by which 49 must be divided to get a perfect cube?
  31. 31.What is ∛12167? =
  32. 32.What is ∛10648? =
  33. 33.What is the smallest whole number by which 320 must be divided to get a perfect cube?
  34. 34.Which of these is a perfect cube? (a) 195 (b) 125 (c) 145
  35. 35.Which of these is a perfect cube? (a) 668 (b) 535 (c) 512
  36. 36.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
  37. 37.What is ∛9261? =
  38. 38.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  39. 39.What is ∛125? =
  40. 40.What is 11³? =

Answer key

  1. 216
  2. 2197
  3. 2744
  4. 125
  5. 125
  6. 343
  7. 13
  8. 8
  9. 216
  10. 4
  11. 3
  12. 1000
  13. 2
  14. 5832
  15. 7
  16. 3
  17. 25
  18. 2744
  19. 125
  20. 11
  21. 25
  22. 2
  23. 7
  24. 5
  25. 27
  26. 729
  27. 11
  28. 5
  29. 8
  30. 49
  31. 23
  32. 22
  33. 5
  34. 125
  35. 512
  36. 17
  37. 21
  38. 3
  39. 5
  40. 1331

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