← Cubes and cube roots lesson New set →

Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 772 · 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 cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
  2. 2.What is 3³? =
  3. 3.What is 14³? =
  4. 4.What is the smallest whole number by which 16 must be multiplied to get a perfect cube?
  5. 5.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  6. 6.Which of these is a perfect cube? (a) 3704 (b) 3786 (c) 3375
  7. 7.What is the smallest whole number by which 1512 must be multiplied to get a perfect cube?
  8. 8.What is ∛216? =
  9. 9.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
  10. 10.What is 16³? =
  11. 11.What is ∛2744? =
  12. 12.What is the smallest whole number by which 1512 must be divided to get a perfect cube?
  13. 13.What is ∛4913? =
  14. 14.Which of these is a perfect cube? (a) 216 (b) 303 (c) 247
  15. 15.Which of these is a perfect cube? (a) 2744 (b) 3202 (c) 2980
  16. 16.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
  17. 17.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  18. 18.What is ∛512? =
  19. 19.Which of these is a perfect cube? (a) 512 (b) 683 (c) 691
  20. 20.What is 6³? =
  21. 21.What is the smallest whole number by which 864 must be multiplied to get a perfect cube?
  22. 22.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
  23. 23.What is ∛729? =
  24. 24.What is ∛10648? =
  25. 25.What is 11³? =
  26. 26.What is ∛1000? =
  27. 27.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  28. 28.Which of these is a perfect cube? (a) 874 (b) 729 (c) 903
  29. 29.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  30. 30.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
  31. 31.What is 12³? =
  32. 32.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  33. 33.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
  34. 34.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
  35. 35.What is ∛9261? =
  36. 36.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  37. 37.A big cube of edge 18 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  38. 38.What is 2³? =
  39. 39.What is 9³? =
  40. 40.A big cube of edge 6 cm is cut into small cubes of edge 2 cm. How many small cubes are there?

Answer key

  1. 18
  2. 27
  3. 2744
  4. 4
  5. 8
  6. 3375
  7. 49
  8. 6
  9. 17
  10. 4096
  11. 14
  12. 7
  13. 17
  14. 216
  15. 2744
  16. 15
  17. 13
  18. 8
  19. 512
  20. 216
  21. 2
  22. 11
  23. 9
  24. 22
  25. 1331
  26. 10
  27. 6
  28. 729
  29. 125
  30. 20
  31. 1728
  32. 8
  33. 12
  34. 19
  35. 21
  36. 4
  37. 216
  38. 8
  39. 729
  40. 27

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