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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 865 · 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 ∛2744? =
  2. 2.What is 8³? =
  3. 3.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  4. 4.What is ∛27? =
  5. 5.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  6. 6.What is 17³? =
  7. 7.Which of these is a perfect cube? (a) 1216 (b) 1000 (c) 1233
  8. 8.What is ∛2197? =
  9. 9.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
  10. 10.What is the smallest whole number by which 2 must be multiplied to get a perfect cube?
  11. 11.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  12. 12.What is 2³? =
  13. 13.What is 6³? =
  14. 14.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  15. 15.What is ∛343? =
  16. 16.What is ∛3375? =
  17. 17.What is ∛512? =
  18. 18.What is the smallest whole number by which 448 must be multiplied to get a perfect cube?
  19. 19.What is the smallest whole number by which 16 must be multiplied to get a perfect cube?
  20. 20.What is the smallest whole number by which 10584 must be multiplied to get a perfect cube?
  21. 21.Which of these is a perfect cube? (a) 640 (b) 512 (c) 593
  22. 22.Which of these is a perfect cube? (a) 3783 (b) 3375 (c) 3411
  23. 23.What is 7³? =
  24. 24.What is the smallest whole number by which 1512 must be divided to get a perfect cube?
  25. 25.What is ∛216? =
  26. 26.What is the smallest whole number by which 5400 must be multiplied to get a perfect cube?
  27. 27.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  28. 28.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
  29. 29.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  30. 30.What is the smallest whole number by which 4 must be divided to get a perfect cube?
  31. 31.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  32. 32.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
  33. 33.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
  34. 34.Which of these is a perfect cube? (a) 66 (b) 64 (c) 85
  35. 35.Which of these is a perfect cube? (a) 198 (b) 188 (c) 125
  36. 36.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  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.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
  40. 40.What is 16³? =

Answer key

  1. 14
  2. 512
  3. 10
  4. 3
  5. 7
  6. 4913
  7. 1000
  8. 13
  9. 15
  10. 4
  11. 8
  12. 8
  13. 216
  14. 6
  15. 7
  16. 15
  17. 8
  18. 49
  19. 4
  20. 7
  21. 512
  22. 3375
  23. 343
  24. 7
  25. 6
  26. 5
  27. 13
  28. 18
  29. 64
  30. 4
  31. 8
  32. 12
  33. 11
  34. 64
  35. 125
  36. 125
  37. 21
  38. 3
  39. 16
  40. 4096

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