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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 838 · 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 the smallest whole number by which 54 must be divided to get a perfect cube?
  2. 2.What is the smallest whole number by which 1080 must be divided to get a perfect cube?
  3. 3.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  4. 4.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  5. 5.What is 13³? =
  6. 6.What is 19³? =
  7. 7.What is ∛6859? =
  8. 8.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  9. 9.What is ∛5832? =
  10. 10.What is ∛15625? =
  11. 11.What is ∛216? =
  12. 12.What is 2³? =
  13. 13.What is 3³? =
  14. 14.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  15. 15.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
  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.What is ∛3375? =
  18. 18.Which of these is a perfect cube? (a) 1028 (b) 1000 (c) 1010
  19. 19.Which of these is a perfect cube? (a) 664 (b) 655 (c) 512
  20. 20.What is the smallest whole number by which 5400 must be multiplied to get a perfect cube?
  21. 21.What is 5³? =
  22. 22.What is ∛2744? =
  23. 23.What is the smallest whole number by which 875 must be multiplied to get a perfect cube?
  24. 24.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  25. 25.What is the smallest whole number by which 128 must be multiplied to get a perfect cube?
  26. 26.Which of these is a perfect cube? (a) 103 (b) 83 (c) 64
  27. 27.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
  28. 28.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
  29. 29.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  30. 30.What is ∛512? =
  31. 31.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  32. 32.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  33. 33.What is ∛729? =
  34. 34.What is 4³? =
  35. 35.Which of these is a perfect cube? (a) 461 (b) 343 (c) 403
  36. 36.Which of these is a perfect cube? (a) 1728 (b) 2122 (c) 1972
  37. 37.What is the smallest whole number by which 1600 must be multiplied to get a perfect cube?
  38. 38.What is 15³? =
  39. 39.What is the smallest whole number by which 32 must be multiplied to get a perfect cube?
  40. 40.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?

Answer key

  1. 2
  2. 5
  3. 13
  4. 64
  5. 2197
  6. 6859
  7. 19
  8. 3
  9. 18
  10. 25
  11. 6
  12. 8
  13. 27
  14. 216
  15. 16
  16. 216
  17. 15
  18. 1000
  19. 512
  20. 5
  21. 125
  22. 14
  23. 49
  24. 125
  25. 4
  26. 64
  27. 12
  28. 14
  29. 8
  30. 8
  31. 4
  32. 8
  33. 9
  34. 64
  35. 343
  36. 1728
  37. 5
  38. 3375
  39. 2
  40. 8

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