← Cubes and cube roots lesson New set →

Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 336 · 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) 729 (b) 940 (c) 918
  2. 2.What is the smallest whole number by which 448 must be divided to get a perfect cube?
  3. 3.What is ∛512? =
  4. 4.What is ∛125? =
  5. 5.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  6. 6.What is 2³? =
  7. 7.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  8. 8.What is the smallest whole number by which 10584 must be divided to get a perfect cube?
  9. 9.Which of these is a perfect cube? (a) 2090 (b) 1728 (c) 2016
  10. 10.What is 16³? =
  11. 11.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  12. 12.What is ∛343? =
  13. 13.Which of these is a perfect cube? (a) 512 (b) 656 (c) 605
  14. 14.What is the smallest whole number by which 24 must be divided to get a perfect cube?
  15. 15.A big cube of edge 12 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  16. 16.Which of these is a perfect cube? (a) 2542 (b) 2197 (c) 2556
  17. 17.What is 6³? =
  18. 18.What is the smallest whole number by which 56 must be divided to get a perfect cube?
  19. 19.Which of these is a perfect cube? (a) 147 (b) 137 (c) 125
  20. 20.What is 5³? =
  21. 21.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  22. 22.Which of these is a perfect cube? (a) 84 (b) 64 (c) 85
  23. 23.Which of these is a perfect cube? (a) 50 (b) 27 (c) 43
  24. 24.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
  25. 25.What is 12³? =
  26. 26.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  27. 27.Which of these is a perfect cube? (a) 2969 (b) 2744 (c) 2965
  28. 28.What is the smallest whole number by which 625 must be multiplied to get a perfect cube?
  29. 29.What is 13³? =
  30. 30.What is the smallest whole number by which 49 must be multiplied to get a perfect cube?
  31. 31.Which of these is a perfect cube? (a) 244 (b) 216 (c) 235
  32. 32.What is 18³? =
  33. 33.What is the smallest whole number by which 56 must be multiplied to get a perfect cube?
  34. 34.What is ∛64? =
  35. 35.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  36. 36.What is ∛1000? =
  37. 37.What is ∛12167? =
  38. 38.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
  39. 39.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  40. 40.What is ∛729? =

Answer key

  1. 729
  2. 7
  3. 8
  4. 5
  5. 5
  6. 8
  7. 8
  8. 49
  9. 1728
  10. 4096
  11. 2
  12. 7
  13. 512
  14. 3
  15. 64
  16. 2197
  17. 216
  18. 7
  19. 125
  20. 125
  21. 125
  22. 64
  23. 27
  24. 19
  25. 1728
  26. 27
  27. 2744
  28. 25
  29. 2197
  30. 7
  31. 216
  32. 5832
  33. 49
  34. 4
  35. 8
  36. 10
  37. 23
  38. 16
  39. 64
  40. 9

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