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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 760 · 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 the smallest whole number by which 250 must be multiplied to get a perfect cube?
  2. 2.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
  3. 3.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  4. 4.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  5. 5.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
  6. 6.What is ∛12167? =
  7. 7.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  8. 8.What is 2³? =
  9. 9.What is the smallest whole number by which 56 must be multiplied to get a perfect cube?
  10. 10.What is ∛1728? =
  11. 11.What is the smallest whole number by which 625 must be multiplied to get a perfect cube?
  12. 12.Which of these is a perfect cube? (a) 32 (b) 36 (c) 27
  13. 13.What is the smallest whole number by which 448 must be divided to get a perfect cube?
  14. 14.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  15. 15.What is 13³? =
  16. 16.Which of these is a perfect cube? (a) 1439 (b) 1331 (c) 1436
  17. 17.What is ∛216? =
  18. 18.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  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 32 must be divided to get a perfect cube?
  21. 21.Which of these is a perfect cube? (a) 263 (b) 251 (c) 216
  22. 22.What is ∛9261? =
  23. 23.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  24. 24.What is 9³? =
  25. 25.What is 16³? =
  26. 26.What is ∛27? =
  27. 27.What is the smallest whole number by which 189 must be divided to get a perfect cube?
  28. 28.What is 15³? =
  29. 29.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  30. 30.A big cube of edge 15 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  31. 31.Which of these is a perfect cube? (a) 729 (b) 770 (c) 941
  32. 32.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
  33. 33.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  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.What is the smallest whole number by which 108 must be divided to get a perfect cube?
  36. 36.What is 3³? =
  37. 37.A big cube of edge 12 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  38. 38.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  39. 39.Which of these is a perfect cube? (a) 1019 (b) 1000 (c) 1296
  40. 40.What is 12³? =

Answer key

  1. 4
  2. 18
  3. 64
  4. 2
  5. 16
  6. 23
  7. 3
  8. 8
  9. 49
  10. 12
  11. 25
  12. 27
  13. 7
  14. 13
  15. 2197
  16. 1331
  17. 6
  18. 216
  19. 4
  20. 4
  21. 216
  22. 21
  23. 8
  24. 729
  25. 4096
  26. 3
  27. 7
  28. 3375
  29. 10
  30. 125
  31. 729
  32. 11
  33. 5
  34. 8
  35. 4
  36. 27
  37. 64
  38. 8
  39. 1000
  40. 1728

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