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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 847 · 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 ∛10648? =
  2. 2.What is 6³? =
  3. 3.Which of these is a perfect cube? (a) 3275 (b) 2744 (c) 2808
  4. 4.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
  5. 5.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
  6. 6.What is the smallest whole number by which 1323 must be divided to get a perfect cube?
  7. 7.What is the smallest whole number by which 320 must be multiplied to get a perfect cube?
  8. 8.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  9. 9.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  10. 10.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  11. 11.Which of these is a perfect cube? (a) 35 (b) 27 (c) 28
  12. 12.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
  13. 13.What is ∛9261? =
  14. 14.What is the smallest whole number by which 5 must be multiplied to get a perfect cube?
  15. 15.What is ∛4096? =
  16. 16.Which of these is a perfect cube? (a) 1208 (b) 1000 (c) 1289
  17. 17.What is 2³? =
  18. 18.A big cube of edge 18 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  19. 19.What is ∛1728? =
  20. 20.Which of these is a perfect cube? (a) 196 (b) 158 (c) 125
  21. 21.Which of these is a perfect cube? (a) 74 (b) 64 (c) 72
  22. 22.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
  23. 23.What is ∛13824? =
  24. 24.What is 7³? =
  25. 25.What is 14³? =
  26. 26.What is 11³? =
  27. 27.What is 3³? =
  28. 28.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
  29. 29.A big cube of edge 12 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 256 must be multiplied to get a perfect cube?
  31. 31.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
  32. 32.What is 9³? =
  33. 33.What is 19³? =
  34. 34.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  35. 35.What is the smallest whole number by which 5 must be divided to get a perfect cube?
  36. 36.What is the smallest whole number by which 392 must be multiplied to get a perfect cube?
  37. 37.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  38. 38.What is ∛2744? =
  39. 39.What is 13³? =
  40. 40.What is ∛15625? =

Answer key

  1. 22
  2. 216
  3. 2744
  4. 12
  5. 18
  6. 49
  7. 25
  8. 64
  9. 27
  10. 13
  11. 27
  12. 20
  13. 21
  14. 25
  15. 16
  16. 1000
  17. 8
  18. 216
  19. 12
  20. 125
  21. 64
  22. 17
  23. 24
  24. 343
  25. 2744
  26. 1331
  27. 27
  28. 16
  29. 216
  30. 2
  31. 15
  32. 729
  33. 6859
  34. 8
  35. 5
  36. 7
  37. 8
  38. 14
  39. 2197
  40. 25

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