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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 668 · 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.Which of these is a perfect cube? (a) 390 (b) 475 (c) 343
  2. 2.What is 3³? =
  3. 3.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  4. 4.A big cube of edge 20 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  5. 5.Which of these is a perfect cube? (a) 2638 (b) 2260 (c) 2197
  6. 6.What is ∛6859? =
  7. 7.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  8. 8.What is the smallest whole number by which 10584 must be divided to get a perfect cube?
  9. 9.What is 19³? =
  10. 10.What is 10³? =
  11. 11.What is ∛512? =
  12. 12.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
  13. 13.Which of these is a perfect cube? (a) 304 (b) 245 (c) 216
  14. 14.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  15. 15.Which of these is a perfect cube? (a) 82 (b) 64 (c) 79
  16. 16.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  17. 17.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  18. 18.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  19. 19.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  20. 20.Which of these is a perfect cube? (a) 514 (b) 684 (c) 512
  21. 21.Which of these is a perfect cube? (a) 1051 (b) 1217 (c) 1000
  22. 22.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  23. 23.What is ∛13824? =
  24. 24.What is 14³? =
  25. 25.What is the smallest whole number by which 243 must be multiplied to get a perfect cube?
  26. 26.What is the smallest whole number by which 200 must be divided to get a perfect cube?
  27. 27.What is 2³? =
  28. 28.What is the smallest whole number by which 128 must be multiplied to get a perfect cube?
  29. 29.What is 4³? =
  30. 30.What is ∛729? =
  31. 31.What is ∛12167? =
  32. 32.What is ∛1331? =
  33. 33.What is ∛8? =
  34. 34.What is 17³? =
  35. 35.What is 8³? =
  36. 36.Which of these is a perfect cube? (a) 1331 (b) 1686 (c) 1571
  37. 37.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  38. 38.Which of these is a perfect cube? (a) 1809 (b) 1728 (c) 2034
  39. 39.What is ∛216? =
  40. 40.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?

Answer key

  1. 343
  2. 27
  3. 3
  4. 125
  5. 2197
  6. 19
  7. 8
  8. 49
  9. 6859
  10. 1000
  11. 8
  12. 15
  13. 216
  14. 64
  15. 64
  16. 216
  17. 27
  18. 8
  19. 10
  20. 512
  21. 1000
  22. 2
  23. 24
  24. 2744
  25. 3
  26. 25
  27. 8
  28. 4
  29. 64
  30. 9
  31. 23
  32. 11
  33. 2
  34. 4913
  35. 512
  36. 1331
  37. 7
  38. 1728
  39. 6
  40. 27

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