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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 983 · 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) 27 (b) 53 (c) 54
  2. 2.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  3. 3.Which of these is a perfect cube? (a) 3375 (b) 3408 (c) 3573
  4. 4.Which of these is a perfect cube? (a) 884 (b) 952 (c) 729
  5. 5.A big cube of edge 20 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  6. 6.What is ∛64? =
  7. 7.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  8. 8.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?
  9. 9.What is the smallest whole number by which 448 must be multiplied to get a perfect cube?
  10. 10.What is the smallest whole number by which 56 must be multiplied to get a perfect cube?
  11. 11.What is ∛6859? =
  12. 12.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  13. 13.What is 9³? =
  14. 14.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  15. 15.What is ∛125? =
  16. 16.What is the smallest whole number by which 5 must be divided to get a perfect cube?
  17. 17.What is 6³? =
  18. 18.What is 4³? =
  19. 19.Which of these is a perfect cube? (a) 2744 (b) 3243 (c) 2981
  20. 20.What is the smallest whole number by which 1080 must be divided to get a perfect cube?
  21. 21.Which of these is a perfect cube? (a) 2197 (b) 2274 (c) 2675
  22. 22.What is the smallest whole number by which 1125 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.What is 2³? =
  25. 25.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
  26. 26.What is the smallest whole number by which 81 must be multiplied to get a perfect cube?
  27. 27.What is ∛27? =
  28. 28.What is ∛512? =
  29. 29.What is 16³? =
  30. 30.What is ∛12167? =
  31. 31.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  32. 32.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  33. 33.What is the smallest whole number by which 1600 must be multiplied to get a perfect cube?
  34. 34.A big cube of edge 18 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 1 cm. How many small cubes are there?
  36. 36.What is the smallest whole number by which 250 must be multiplied to get a perfect cube?
  37. 37.What is 7³? =
  38. 38.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  39. 39.What is ∛10648? =
  40. 40.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?

Answer key

  1. 27
  2. 27
  3. 3375
  4. 729
  5. 125
  6. 4
  7. 8
  8. 9
  9. 49
  10. 49
  11. 19
  12. 2
  13. 729
  14. 6
  15. 5
  16. 5
  17. 216
  18. 64
  19. 2744
  20. 5
  21. 2197
  22. 3
  23. 8
  24. 8
  25. 14
  26. 9
  27. 3
  28. 8
  29. 4096
  30. 23
  31. 125
  32. 10
  33. 5
  34. 216
  35. 64
  36. 4
  37. 343
  38. 3
  39. 22
  40. 216

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