← Cubes and cube roots lesson New set →

Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 75 · 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 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  2. 2.What is 10³? =
  3. 3.What is 2³? =
  4. 4.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
  5. 5.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  6. 6.What is the smallest whole number by which 16 must be divided to get a perfect cube?
  7. 7.What is ∛4913? =
  8. 8.What is the smallest whole number by which 54 must be divided to get a perfect cube?
  9. 9.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  10. 10.What is 16³? =
  11. 11.What is 11³? =
  12. 12.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  13. 13.Which of these is a perfect cube? (a) 33 (b) 54 (c) 27
  14. 14.Which of these is a perfect cube? (a) 315 (b) 288 (c) 216
  15. 15.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  16. 16.What is 6³? =
  17. 17.Which of these is a perfect cube? (a) 795 (b) 857 (c) 729
  18. 18.What is ∛216? =
  19. 19.Which of these is a perfect cube? (a) 138 (b) 125 (c) 184
  20. 20.What is ∛13824? =
  21. 21.What is 4³? =
  22. 22.What is the smallest whole number by which 250 must be divided to get a perfect cube?
  23. 23.What is 15³? =
  24. 24.What is ∛4096? =
  25. 25.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  26. 26.Which of these is a perfect cube? (a) 3432 (b) 3375 (c) 3567
  27. 27.What is ∛8000? =
  28. 28.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
  29. 29.Which of these is a perfect cube? (a) 1728 (b) 1799 (c) 1994
  30. 30.What is ∛125? =
  31. 31.Which of these is a perfect cube? (a) 1000 (b) 1252 (c) 1008
  32. 32.A big cube of edge 12 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  33. 33.What is ∛6859? =
  34. 34.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
  35. 35.What is the smallest whole number by which 200 must be divided to get a perfect cube?
  36. 36.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  37. 37.What is 20³? =
  38. 38.What is ∛729? =
  39. 39.What is the smallest whole number by which 1323 must be divided to get a perfect cube?
  40. 40.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?

Answer key

  1. 216
  2. 1000
  3. 8
  4. 15
  5. 8
  6. 2
  7. 17
  8. 2
  9. 5
  10. 4096
  11. 1331
  12. 6
  13. 27
  14. 216
  15. 64
  16. 216
  17. 729
  18. 6
  19. 125
  20. 24
  21. 64
  22. 2
  23. 3375
  24. 16
  25. 4
  26. 3375
  27. 20
  28. 14
  29. 1728
  30. 5
  31. 1000
  32. 64
  33. 19
  34. 20
  35. 25
  36. 8
  37. 8000
  38. 9
  39. 49
  40. 3

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