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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 95 · 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 10³? =
  2. 2.What is the smallest whole number by which 9 must be multiplied to get a perfect cube?
  3. 3.Which of these is a perfect cube? (a) 3384 (b) 3375 (c) 3952
  4. 4.Which of these is a perfect cube? (a) 512 (b) 666 (c) 674
  5. 5.Which of these is a perfect cube? (a) 1881 (b) 1728 (c) 1807
  6. 6.What is ∛1000? =
  7. 7.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  8. 8.What is 6³? =
  9. 9.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
  10. 10.What is the smallest whole number by which 10584 must be divided to get a perfect cube?
  11. 11.What is ∛216? =
  12. 12.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  13. 13.What is 19³? =
  14. 14.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  15. 15.What is the smallest whole number by which 2 must be divided to get a perfect cube?
  16. 16.What is the smallest whole number by which 3 must be multiplied to get a perfect cube?
  17. 17.What is 11³? =
  18. 18.What is the smallest whole number by which 500 must be multiplied to get a perfect cube?
  19. 19.Which of these is a perfect cube? (a) 1675 (b) 1385 (c) 1331
  20. 20.Which of these is a perfect cube? (a) 64 (b) 111 (c) 68
  21. 21.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  22. 22.What is ∛512? =
  23. 23.What is ∛3375? =
  24. 24.What is ∛64? =
  25. 25.What is 17³? =
  26. 26.What is 13³? =
  27. 27.What is the smallest whole number by which 25 must be multiplied to get a perfect cube?
  28. 28.What is 5³? =
  29. 29.What is the smallest whole number by which 675 must be divided to get a perfect cube?
  30. 30.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  31. 31.What is 8³? =
  32. 32.What is ∛12167? =
  33. 33.What is 4³? =
  34. 34.What is ∛27? =
  35. 35.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  36. 36.What is 2³? =
  37. 37.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
  38. 38.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
  39. 39.What is ∛8000? =
  40. 40.What is 20³? =

Answer key

  1. 1000
  2. 3
  3. 3375
  4. 512
  5. 1728
  6. 10
  7. 6
  8. 216
  9. 11
  10. 49
  11. 6
  12. 125
  13. 6859
  14. 2
  15. 2
  16. 9
  17. 1331
  18. 2
  19. 1331
  20. 64
  21. 216
  22. 8
  23. 15
  24. 4
  25. 4913
  26. 2197
  27. 5
  28. 125
  29. 25
  30. 8
  31. 512
  32. 23
  33. 64
  34. 3
  35. 4
  36. 8
  37. 18
  38. 16
  39. 20
  40. 8000

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