← Cubes and cube roots lesson New set →

Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 345 · 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 ∛64? =
  2. 2.Which of these is a perfect cube? (a) 125 (b) 170 (c) 198
  3. 3.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
  4. 4.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?
  5. 5.What is ∛125? =
  6. 6.What is 10³? =
  7. 7.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  8. 8.What is ∛1331? =
  9. 9.Which of these is a perfect cube? (a) 34 (b) 27 (c) 29
  10. 10.Which of these is a perfect cube? (a) 216 (b) 256 (c) 321
  11. 11.What is 14³? =
  12. 12.What is 7³? =
  13. 13.What is ∛216? =
  14. 14.What is ∛8? =
  15. 15.What is 6³? =
  16. 16.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
  17. 17.What is the smallest whole number by which 128 must be divided to get a perfect cube?
  18. 18.What is 9³? =
  19. 19.What is the smallest whole number by which 128 must be multiplied to get a perfect cube?
  20. 20.What is the smallest whole number by which 40 must be divided to get a perfect cube?
  21. 21.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  22. 22.What is the smallest whole number by which 1125 must be multiplied to get a perfect cube?
  23. 23.What is ∛729? =
  24. 24.A big cube of edge 15 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  25. 25.Which of these is a perfect cube? (a) 546 (b) 512 (c) 652
  26. 26.A big cube of edge 20 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  27. 27.What is ∛1728? =
  28. 28.Which of these is a perfect cube? (a) 67 (b) 91 (c) 64
  29. 29.What is ∛343? =
  30. 30.Which of these is a perfect cube? (a) 1490 (b) 1331 (c) 1447
  31. 31.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  32. 32.What is ∛27? =
  33. 33.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  34. 34.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  35. 35.Which of these is a perfect cube? (a) 420 (b) 343 (c) 366
  36. 36.What is 15³? =
  37. 37.What is the smallest whole number by which 189 must be divided to get a perfect cube?
  38. 38.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  39. 39.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  40. 40.What is ∛2744? =

Answer key

  1. 4
  2. 125
  3. 12
  4. 9
  5. 5
  6. 1000
  7. 5
  8. 11
  9. 27
  10. 216
  11. 2744
  12. 343
  13. 6
  14. 2
  15. 216
  16. 18
  17. 2
  18. 729
  19. 4
  20. 5
  21. 10
  22. 3
  23. 9
  24. 125
  25. 512
  26. 125
  27. 12
  28. 64
  29. 7
  30. 1331
  31. 6
  32. 3
  33. 216
  34. 64
  35. 343
  36. 3375
  37. 7
  38. 7
  39. 216
  40. 14

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