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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 754 · 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 15³? =
  2. 2.Which of these is a perfect cube? (a) 343 (b) 483 (c) 447
  3. 3.What is the smallest whole number by which 2 must be divided to get a perfect cube?
  4. 4.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
  5. 5.What is 9³? =
  6. 6.What is the smallest whole number by which 5 must be multiplied to get a perfect cube?
  7. 7.Which of these is a perfect cube? (a) 1728 (b) 2056 (c) 1939
  8. 8.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  9. 9.What is ∛13824? =
  10. 10.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  11. 11.Which of these is a perfect cube? (a) 1285 (b) 1130 (c) 1000
  12. 12.A big cube of edge 6 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  13. 13.A big cube of edge 12 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  14. 14.What is the smallest whole number by which 576 must be multiplied to get a perfect cube?
  15. 15.Which of these is a perfect cube? (a) 159 (b) 154 (c) 125
  16. 16.Which of these is a perfect cube? (a) 2197 (b) 2539 (c) 2615
  17. 17.What is 14³? =
  18. 18.What is ∛1728? =
  19. 19.What is 12³? =
  20. 20.What is ∛729? =
  21. 21.What is ∛9261? =
  22. 22.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
  23. 23.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  24. 24.What is the smallest whole number by which 135 must be multiplied to get a perfect cube?
  25. 25.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
  26. 26.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  27. 27.What is 10³? =
  28. 28.Which of these is a perfect cube? (a) 3306 (b) 2962 (c) 2744
  29. 29.What is the smallest whole number by which 648 must be multiplied to get a perfect cube?
  30. 30.A big cube of edge 18 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  31. 31.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  32. 32.Which of these is a perfect cube? (a) 1612 (b) 1331 (c) 1570
  33. 33.What is the smallest whole number by which 24 must be multiplied to get a perfect cube?
  34. 34.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
  35. 35.Which of these is a perfect cube? (a) 3495 (b) 3521 (c) 3375
  36. 36.What is 3³? =
  37. 37.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  38. 38.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  39. 39.What is ∛125? =
  40. 40.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?

Answer key

  1. 3375
  2. 343
  3. 2
  4. 19
  5. 729
  6. 25
  7. 1728
  8. 27
  9. 24
  10. 8
  11. 1000
  12. 27
  13. 64
  14. 3
  15. 125
  16. 2197
  17. 2744
  18. 12
  19. 1728
  20. 9
  21. 21
  22. 15
  23. 27
  24. 25
  25. 12
  26. 5
  27. 1000
  28. 2744
  29. 9
  30. 216
  31. 7
  32. 1331
  33. 9
  34. 16
  35. 3375
  36. 27
  37. 10
  38. 3
  39. 5
  40. 64

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