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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 124 · 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 ∛8000? =
  2. 2.What is the smallest whole number by which 448 must be multiplied to get a perfect cube?
  3. 3.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  4. 4.Which of these is a perfect cube? (a) 512 (b) 516 (c) 597
  5. 5.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  6. 6.Which of these is a perfect cube? (a) 2018 (b) 1728 (c) 1749
  7. 7.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  8. 8.What is the smallest whole number by which 432 must be multiplied to get a perfect cube?
  9. 9.What is 19³? =
  10. 10.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
  11. 11.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  12. 12.Which of these is a perfect cube? (a) 192 (b) 125 (c) 177
  13. 13.What is 3³? =
  14. 14.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  15. 15.What is the smallest whole number by which 1512 must be multiplied to get a perfect cube?
  16. 16.What is 2³? =
  17. 17.What is ∛729? =
  18. 18.A big cube of edge 12 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  19. 19.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
  20. 20.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  21. 21.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
  22. 22.What is 18³? =
  23. 23.Which of these is a perfect cube? (a) 69 (b) 67 (c) 64
  24. 24.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  25. 25.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  26. 26.What is 9³? =
  27. 27.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  28. 28.Which of these is a perfect cube? (a) 1331 (b) 1543 (c) 1514
  29. 29.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
  30. 30.Which of these is a perfect cube? (a) 217 (b) 226 (c) 216
  31. 31.What is ∛9261? =
  32. 32.What is ∛15625? =
  33. 33.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  34. 34.What is ∛216? =
  35. 35.Which of these is a perfect cube? (a) 2802 (b) 3138 (c) 2744
  36. 36.What is ∛1728? =
  37. 37.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
  38. 38.Which of these is a perfect cube? (a) 2552 (b) 2197 (c) 2214
  39. 39.What is 20³? =
  40. 40.What is the smallest whole number by which 256 must be divided to get a perfect cube?

Answer key

  1. 20
  2. 49
  3. 8
  4. 512
  5. 8
  6. 1728
  7. 5
  8. 4
  9. 6859
  10. 17
  11. 125
  12. 125
  13. 27
  14. 216
  15. 49
  16. 8
  17. 9
  18. 64
  19. 15
  20. 13
  21. 14
  22. 5832
  23. 64
  24. 8
  25. 64
  26. 729
  27. 64
  28. 1331
  29. 18
  30. 216
  31. 21
  32. 25
  33. 216
  34. 6
  35. 2744
  36. 12
  37. 20
  38. 2197
  39. 8000
  40. 4

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