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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 595 · 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 8³? =
  2. 2.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  3. 3.What is the smallest whole number by which 81 must be multiplied to get a perfect cube?
  4. 4.What is ∛2197? =
  5. 5.Which of these is a perfect cube? (a) 1004 (b) 1000 (c) 1233
  6. 6.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
  7. 7.What is ∛4096? =
  8. 8.What is the smallest whole number by which 16 must be divided to get a perfect cube?
  9. 9.What is 6³? =
  10. 10.Which of these is a perfect cube? (a) 1331 (b) 1573 (c) 1635
  11. 11.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
  12. 12.What is 10³? =
  13. 13.What is 4³? =
  14. 14.What is ∛10648? =
  15. 15.What is the smallest whole number by which 1600 must be divided to get a perfect cube?
  16. 16.A big cube of edge 12 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  17. 17.Which of these is a perfect cube? (a) 2971 (b) 3189 (c) 2744
  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 40 must be divided to get a perfect cube?
  20. 20.What is 2³? =
  21. 21.What is the smallest whole number by which 2 must be divided to get a perfect cube?
  22. 22.Which of these is a perfect cube? (a) 406 (b) 401 (c) 343
  23. 23.What is ∛5832? =
  24. 24.Which of these is a perfect cube? (a) 3488 (b) 3654 (c) 3375
  25. 25.What is ∛9261? =
  26. 26.What is ∛15625? =
  27. 27.Which of these is a perfect cube? (a) 29 (b) 27 (c) 35
  28. 28.What is ∛125? =
  29. 29.What is 5³? =
  30. 30.What is ∛1728? =
  31. 31.What is the smallest whole number by which 3 must be multiplied to get a perfect cube?
  32. 32.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  33. 33.What is the smallest whole number by which 9 must be divided to get a perfect cube?
  34. 34.Which of these is a perfect cube? (a) 2213 (b) 2258 (c) 2197
  35. 35.What is ∛2744? =
  36. 36.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  37. 37.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  38. 38.What is the smallest whole number by which 5400 must be multiplied to get a perfect cube?
  39. 39.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  40. 40.What is 7³? =

Answer key

  1. 512
  2. 27
  3. 9
  4. 13
  5. 1000
  6. 15
  7. 16
  8. 2
  9. 216
  10. 1331
  11. 12
  12. 1000
  13. 64
  14. 22
  15. 25
  16. 64
  17. 2744
  18. 216
  19. 5
  20. 8
  21. 2
  22. 343
  23. 18
  24. 3375
  25. 21
  26. 25
  27. 27
  28. 5
  29. 125
  30. 12
  31. 9
  32. 7
  33. 9
  34. 2197
  35. 14
  36. 64
  37. 10
  38. 5
  39. 216
  40. 343

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