← Cubes and cube roots lesson New set →

Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 207 · 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.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  2. 2.What is the smallest whole number by which 625 must be divided to get a perfect cube?
  3. 3.What is 18³? =
  4. 4.What is 10³? =
  5. 5.Which of these is a perfect cube? (a) 3329 (b) 2802 (c) 2744
  6. 6.What is ∛5832? =
  7. 7.What is the smallest whole number by which 576 must be multiplied to get a perfect cube?
  8. 8.Which of these is a perfect cube? (a) 1344 (b) 1331 (c) 1484
  9. 9.What is 17³? =
  10. 10.What is the smallest whole number by which 500 must be multiplied to get a perfect cube?
  11. 11.What is ∛12167? =
  12. 12.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  13. 13.What is the smallest whole number by which 54 must be multiplied to get a perfect cube?
  14. 14.Which of these is a perfect cube? (a) 1728 (b) 2107 (c) 1935
  15. 15.What is 16³? =
  16. 16.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
  17. 17.Which of these is a perfect cube? (a) 744 (b) 729 (c) 784
  18. 18.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  19. 19.What is 9³? =
  20. 20.What is the smallest whole number by which 243 must be multiplied to get a perfect cube?
  21. 21.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  22. 22.What is 7³? =
  23. 23.A big cube of edge 20 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  24. 24.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
  25. 25.What is ∛512? =
  26. 26.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  27. 27.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  28. 28.What is the smallest whole number by which 10584 must be divided to get a perfect cube?
  29. 29.What is the smallest whole number by which 135 must be multiplied to get a perfect cube?
  30. 30.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  31. 31.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  32. 32.What is ∛3375? =
  33. 33.What is ∛8000? =
  34. 34.What is 2³? =
  35. 35.What is 4³? =
  36. 36.What is the smallest whole number by which 7 must be divided to get a perfect cube?
  37. 37.What is ∛4913? =
  38. 38.Which of these is a perfect cube? (a) 1132 (b) 1297 (c) 1000
  39. 39.What is 13³? =
  40. 40.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?

Answer key

  1. 8
  2. 5
  3. 5832
  4. 1000
  5. 2744
  6. 18
  7. 3
  8. 1331
  9. 4913
  10. 2
  11. 23
  12. 3
  13. 4
  14. 1728
  15. 4096
  16. 20
  17. 729
  18. 64
  19. 729
  20. 3
  21. 64
  22. 343
  23. 125
  24. 16
  25. 8
  26. 216
  27. 4
  28. 49
  29. 25
  30. 27
  31. 216
  32. 15
  33. 20
  34. 8
  35. 64
  36. 7
  37. 17
  38. 1000
  39. 2197
  40. 17

Free maths worksheets lessons, practice and worksheets at talentjr.in/maths-worksheets