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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 371 · 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 6³? =
  2. 2.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
  3. 3.What is 8³? =
  4. 4.Which of these is a perfect cube? (a) 49 (b) 32 (c) 27
  5. 5.What is 13³? =
  6. 6.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  7. 7.What is the smallest whole number by which 392 must be divided to get a perfect cube?
  8. 8.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  9. 9.What is the smallest whole number by which 3 must be multiplied to get a perfect cube?
  10. 10.What is the smallest whole number by which 32 must be divided to get a perfect cube?
  11. 11.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
  12. 12.What is the smallest whole number by which 576 must be multiplied to get a perfect cube?
  13. 13.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  14. 14.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
  15. 15.Which of these is a perfect cube? (a) 110 (b) 89 (c) 64
  16. 16.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  17. 17.What is ∛125? =
  18. 18.What is 12³? =
  19. 19.What is the smallest whole number by which 56 must be multiplied to get a perfect cube?
  20. 20.What is ∛64? =
  21. 21.Which of these is a perfect cube? (a) 131 (b) 125 (c) 176
  22. 22.What is ∛4096? =
  23. 23.What is the smallest whole number by which 1125 must be divided to get a perfect cube?
  24. 24.Which of these is a perfect cube? (a) 2054 (b) 1728 (c) 2058
  25. 25.What is ∛6859? =
  26. 26.What is 19³? =
  27. 27.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  28. 28.What is ∛8000? =
  29. 29.A big cube of edge 18 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  30. 30.What is ∛216? =
  31. 31.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  32. 32.What is 2³? =
  33. 33.What is ∛512? =
  34. 34.What is ∛1331? =
  35. 35.Which of these is a perfect cube? (a) 692 (b) 512 (c) 641
  36. 36.Which of these is a perfect cube? (a) 263 (b) 243 (c) 216
  37. 37.What is ∛10648? =
  38. 38.Which of these is a perfect cube? (a) 1331 (b) 1443 (c) 1394
  39. 39.A big cube of edge 20 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  40. 40.What is ∛3375? =

Answer key

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

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