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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 884 · 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 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  2. 2.Which of these is a perfect cube? (a) 27 (b) 51 (c) 34
  3. 3.A big cube of edge 6 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  4. 4.What is ∛27? =
  5. 5.What is the smallest whole number by which 576 must be multiplied to get a perfect cube?
  6. 6.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
  7. 7.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  8. 8.Which of these is a perfect cube? (a) 1000 (b) 1152 (c) 1084
  9. 9.What is the smallest whole number by which 432 must be multiplied to get a perfect cube?
  10. 10.What is ∛12167? =
  11. 11.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  12. 12.A big cube of edge 20 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  13. 13.What is 17³? =
  14. 14.What is ∛216? =
  15. 15.What is 4³? =
  16. 16.What is ∛64? =
  17. 17.Which of these is a perfect cube? (a) 570 (b) 519 (c) 512
  18. 18.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  19. 19.What is 12³? =
  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 320 must be multiplied to get a perfect cube?
  22. 22.What is the smallest whole number by which 1512 must be divided to get a perfect cube?
  23. 23.What is the smallest whole number by which 24 must be multiplied to get a perfect cube?
  24. 24.What is ∛1331? =
  25. 25.What is the smallest whole number by which 32 must be divided to get a perfect cube?
  26. 26.What is 6³? =
  27. 27.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  28. 28.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  29. 29.What is the smallest whole number by which 392 must be multiplied to get a perfect cube?
  30. 30.What is the smallest whole number by which 135 must be divided to get a perfect cube?
  31. 31.What is ∛1000? =
  32. 32.Which of these is a perfect cube? (a) 2535 (b) 2197 (c) 2627
  33. 33.Which of these is a perfect cube? (a) 3998 (b) 3954 (c) 3375
  34. 34.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  35. 35.A big cube of edge 12 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  36. 36.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  37. 37.What is ∛729? =
  38. 38.What is the smallest whole number by which 500 must be multiplied to get a perfect cube?
  39. 39.What is the smallest whole number by which 1125 must be divided to get a perfect cube?
  40. 40.Which of these is a perfect cube? (a) 64 (b) 97 (c) 96

Answer key

  1. 216
  2. 27
  3. 27
  4. 3
  5. 3
  6. 19
  7. 5
  8. 1000
  9. 4
  10. 23
  11. 27
  12. 125
  13. 4913
  14. 6
  15. 64
  16. 4
  17. 512
  18. 27
  19. 1728
  20. 11
  21. 25
  22. 7
  23. 9
  24. 11
  25. 4
  26. 216
  27. 2
  28. 125
  29. 7
  30. 5
  31. 10
  32. 2197
  33. 3375
  34. 8
  35. 64
  36. 8
  37. 9
  38. 2
  39. 9
  40. 64

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