← Cubes and cube roots lesson New set →

Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 82 · 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 ∛5832? =
  2. 2.Which of these is a perfect cube? (a) 125 (b) 146 (c) 133
  3. 3.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  4. 4.Which of these is a perfect cube? (a) 45 (b) 37 (c) 27
  5. 5.What is ∛343? =
  6. 6.What is the smallest whole number by which 1944 must be multiplied to get a perfect cube?
  7. 7.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
  8. 8.Which of these is a perfect cube? (a) 869 (b) 770 (c) 729
  9. 9.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  10. 10.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  11. 11.What is the smallest whole number by which 16 must be divided to get a perfect cube?
  12. 12.What is ∛1000? =
  13. 13.What is the smallest whole number by which 448 must be multiplied to get a perfect cube?
  14. 14.What is 3³? =
  15. 15.Which of these is a perfect cube? (a) 1158 (b) 1000 (c) 1073
  16. 16.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  17. 17.What is 16³? =
  18. 18.What is ∛64? =
  19. 19.What is the smallest whole number by which 320 must be multiplied to get a perfect cube?
  20. 20.A big cube of edge 6 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  21. 21.What is ∛729? =
  22. 22.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  23. 23.Which of these is a perfect cube? (a) 571 (b) 512 (c) 586
  24. 24.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?
  25. 25.What is ∛1728? =
  26. 26.What is the smallest whole number by which 250 must be divided to get a perfect cube?
  27. 27.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  28. 28.Which of these is a perfect cube? (a) 110 (b) 64 (c) 109
  29. 29.What is ∛9261? =
  30. 30.What is 7³? =
  31. 31.What is 19³? =
  32. 32.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  33. 33.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  34. 34.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
  35. 35.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  36. 36.What is ∛27? =
  37. 37.What is ∛1331? =
  38. 38.What is 17³? =
  39. 39.Which of these is a perfect cube? (a) 3288 (b) 3268 (c) 2744
  40. 40.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?

Answer key

  1. 18
  2. 125
  3. 27
  4. 27
  5. 7
  6. 3
  7. 20
  8. 729
  9. 216
  10. 10
  11. 2
  12. 10
  13. 49
  14. 27
  15. 1000
  16. 216
  17. 4096
  18. 4
  19. 25
  20. 27
  21. 9
  22. 64
  23. 512
  24. 9
  25. 12
  26. 2
  27. 7
  28. 64
  29. 21
  30. 343
  31. 6859
  32. 27
  33. 216
  34. 12
  35. 27
  36. 3
  37. 11
  38. 4913
  39. 2744
  40. 5

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