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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 228 · 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 ∛27? =
  2. 2.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  3. 3.What is the smallest whole number by which 5 must be multiplied to get a perfect cube?
  4. 4.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  5. 5.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  6. 6.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  7. 7.What is ∛1000? =
  8. 8.What is ∛1331? =
  9. 9.What is ∛2197? =
  10. 10.What is the smallest whole number by which 250 must be divided to get a perfect cube?
  11. 11.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
  12. 12.What is ∛2744? =
  13. 13.Which of these is a perfect cube? (a) 512 (b) 570 (c) 562
  14. 14.What is 13³? =
  15. 15.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  16. 16.What is 5³? =
  17. 17.Which of these is a perfect cube? (a) 1980 (b) 1964 (c) 1728
  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 big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  20. 20.What is ∛8? =
  21. 21.What is 15³? =
  22. 22.What is the smallest whole number by which 243 must be multiplied to get a perfect cube?
  23. 23.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  24. 24.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  25. 25.What is the smallest whole number by which 448 must be divided to get a perfect cube?
  26. 26.Which of these is a perfect cube? (a) 53 (b) 30 (c) 27
  27. 27.Which of these is a perfect cube? (a) 2623 (b) 2197 (c) 2332
  28. 28.What is the smallest whole number by which 16 must be divided to get a perfect cube?
  29. 29.What is 3³? =
  30. 30.What is the smallest whole number by which 864 must be multiplied to get a perfect cube?
  31. 31.What is ∛512? =
  32. 32.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  33. 33.What is the smallest whole number by which 108 must be divided to get a perfect cube?
  34. 34.Which of these is a perfect cube? (a) 729 (b) 933 (c) 747
  35. 35.Which of these is a perfect cube? (a) 3258 (b) 2744 (c) 2910
  36. 36.What is ∛125? =
  37. 37.What is 2³? =
  38. 38.Which of these is a perfect cube? (a) 3375 (b) 3532 (c) 3901
  39. 39.Which of these is a perfect cube? (a) 1186 (b) 1272 (c) 1000
  40. 40.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?

Answer key

  1. 3
  2. 216
  3. 25
  4. 6
  5. 13
  6. 10
  7. 10
  8. 11
  9. 13
  10. 2
  11. 16
  12. 14
  13. 512
  14. 2197
  15. 3
  16. 125
  17. 1728
  18. 8
  19. 8
  20. 2
  21. 3375
  22. 3
  23. 8
  24. 5
  25. 7
  26. 27
  27. 2197
  28. 2
  29. 27
  30. 2
  31. 8
  32. 64
  33. 4
  34. 729
  35. 2744
  36. 5
  37. 8
  38. 3375
  39. 1000
  40. 11

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