← Cubes and cube roots lesson New set →

Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 553 · 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 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  2. 2.What is ∛3375? =
  3. 3.What is the smallest whole number by which 16 must be multiplied to get a perfect cube?
  4. 4.Which of these is a perfect cube? (a) 181 (b) 186 (c) 125
  5. 5.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
  6. 6.What is ∛15625? =
  7. 7.What is ∛125? =
  8. 8.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
  9. 9.What is 6³? =
  10. 10.Which of these is a perfect cube? (a) 1694 (b) 1680 (c) 1331
  11. 11.Which of these is a perfect cube? (a) 3651 (b) 3505 (c) 3375
  12. 12.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  13. 13.What is 7³? =
  14. 14.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  15. 15.What is 9³? =
  16. 16.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  17. 17.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  18. 18.What is the smallest whole number by which 7 must be divided to get a perfect cube?
  19. 19.What is 14³? =
  20. 20.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
  21. 21.What is 8³? =
  22. 22.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
  23. 23.What is ∛2197? =
  24. 24.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  25. 25.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  26. 26.What is the smallest whole number by which 864 must be multiplied to get a perfect cube?
  27. 27.What is 11³? =
  28. 28.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
  29. 29.What is the smallest whole number by which 24 must be divided to get a perfect cube?
  30. 30.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  31. 31.What is the smallest whole number by which 40 must be multiplied to get a perfect cube?
  32. 32.Which of these is a perfect cube? (a) 2018 (b) 1728 (c) 2044
  33. 33.What is 19³? =
  34. 34.A big cube of edge 12 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  35. 35.What is the smallest whole number by which 500 must be divided to get a perfect cube?
  36. 36.What is 4³? =
  37. 37.What is ∛343? =
  38. 38.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  39. 39.What is ∛8? =
  40. 40.Which of these is a perfect cube? (a) 2231 (b) 2409 (c) 2197

Answer key

  1. 27
  2. 15
  3. 4
  4. 125
  5. 16
  6. 25
  7. 5
  8. 19
  9. 216
  10. 1331
  11. 3375
  12. 10
  13. 343
  14. 216
  15. 729
  16. 8
  17. 27
  18. 7
  19. 2744
  20. 11
  21. 512
  22. 15
  23. 13
  24. 8
  25. 8
  26. 2
  27. 1331
  28. 12
  29. 3
  30. 4
  31. 25
  32. 1728
  33. 6859
  34. 64
  35. 4
  36. 64
  37. 7
  38. 216
  39. 2
  40. 2197

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