← Cubes and cube roots lesson New set →

Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 597 · 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 ∛9261? =
  2. 2.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  3. 3.Which of these is a perfect cube? (a) 54 (b) 32 (c) 27
  4. 4.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  5. 5.What is ∛729? =
  6. 6.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  7. 7.What is 10³? =
  8. 8.What is the smallest whole number by which 135 must be multiplied to get a perfect cube?
  9. 9.What is ∛8000? =
  10. 10.What is 3³? =
  11. 11.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
  12. 12.Which of these is a perfect cube? (a) 3375 (b) 3489 (c) 3403
  13. 13.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?
  14. 14.What is the smallest whole number by which 3125 must be divided to get a perfect cube?
  15. 15.What is ∛3375? =
  16. 16.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
  17. 17.What is 20³? =
  18. 18.What is the smallest whole number by which 1323 must be multiplied to get a perfect cube?
  19. 19.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  20. 20.What is ∛6859? =
  21. 21.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  22. 22.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  23. 23.What is 4³? =
  24. 24.Which of these is a perfect cube? (a) 3199 (b) 2964 (c) 2744
  25. 25.What is ∛125? =
  26. 26.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  27. 27.What is the smallest whole number by which 875 must be divided to get a perfect cube?
  28. 28.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
  29. 29.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  30. 30.What is the smallest whole number by which 25 must be multiplied to get a perfect cube?
  31. 31.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  32. 32.What is the smallest whole number by which 7 must be multiplied to get a perfect cube?
  33. 33.What is the smallest whole number by which 189 must be multiplied to get a perfect cube?
  34. 34.Which of these is a perfect cube? (a) 1109 (b) 1000 (c) 1186
  35. 35.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  36. 36.What is 15³? =
  37. 37.What is 17³? =
  38. 38.What is the smallest whole number by which 81 must be multiplied to get a perfect cube?
  39. 39.What is the smallest whole number by which 16 must be multiplied to get a perfect cube?
  40. 40.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?

Answer key

  1. 21
  2. 13
  3. 27
  4. 216
  5. 9
  6. 7
  7. 1000
  8. 25
  9. 20
  10. 27
  11. 17
  12. 3375
  13. 9
  14. 25
  15. 15
  16. 14
  17. 8000
  18. 7
  19. 8
  20. 19
  21. 2
  22. 8
  23. 64
  24. 2744
  25. 5
  26. 6
  27. 7
  28. 16
  29. 3
  30. 5
  31. 27
  32. 49
  33. 49
  34. 1000
  35. 125
  36. 3375
  37. 4913
  38. 9
  39. 4
  40. 64

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