← Cubes and cube roots lesson New set →

Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 154 · 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 16 must be divided to get a perfect cube?
  2. 2.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  3. 3.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  4. 4.What is ∛27? =
  5. 5.What is ∛512? =
  6. 6.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  7. 7.What is the smallest whole number by which 128 must be multiplied to get a perfect cube?
  8. 8.A big cube of edge 18 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  9. 9.What is ∛8000? =
  10. 10.Which of these is a perfect cube? (a) 97 (b) 64 (c) 70
  11. 11.Which of these is a perfect cube? (a) 388 (b) 343 (c) 487
  12. 12.What is 9³? =
  13. 13.What is 12³? =
  14. 14.What is ∛13824? =
  15. 15.What is the smallest whole number by which 1600 must be multiplied to get a perfect cube?
  16. 16.What is the smallest whole number by which 3136 must be multiplied to get a perfect cube?
  17. 17.What is ∛216? =
  18. 18.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
  19. 19.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  20. 20.What is 2³? =
  21. 21.Which of these is a perfect cube? (a) 2124 (b) 2157 (c) 1728
  22. 22.Which of these is a perfect cube? (a) 194 (b) 158 (c) 125
  23. 23.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  24. 24.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  25. 25.What is ∛12167? =
  26. 26.What is ∛3375? =
  27. 27.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  28. 28.Which of these is a perfect cube? (a) 623 (b) 512 (c) 571
  29. 29.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  30. 30.What is ∛125? =
  31. 31.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  32. 32.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
  33. 33.Which of these is a perfect cube? (a) 1232 (b) 1000 (c) 1219
  34. 34.Which of these is a perfect cube? (a) 1547 (b) 1331 (c) 1411
  35. 35.What is 19³? =
  36. 36.What is ∛10648? =
  37. 37.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  38. 38.What is ∛5832? =
  39. 39.What is ∛343? =
  40. 40.What is 8³? =

Answer key

  1. 2
  2. 8
  3. 4
  4. 3
  5. 8
  6. 2
  7. 4
  8. 216
  9. 20
  10. 64
  11. 343
  12. 729
  13. 1728
  14. 24
  15. 5
  16. 7
  17. 6
  18. 11
  19. 64
  20. 8
  21. 1728
  22. 125
  23. 5
  24. 64
  25. 23
  26. 15
  27. 8
  28. 512
  29. 27
  30. 5
  31. 8
  32. 19
  33. 1000
  34. 1331
  35. 6859
  36. 22
  37. 125
  38. 18
  39. 7
  40. 512

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