← Cubes and cube roots lesson New set →

Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 907 · 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 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  2. 2.What is ∛729? =
  3. 3.A big cube of edge 15 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  4. 4.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  5. 5.Which of these is a perfect cube? (a) 1473 (b) 1520 (c) 1331
  6. 6.Which of these is a perfect cube? (a) 77 (b) 86 (c) 64
  7. 7.A big cube of edge 12 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  8. 8.What is 17³? =
  9. 9.What is the smallest whole number by which 6125 must be divided to get a perfect cube?
  10. 10.Which of these is a perfect cube? (a) 343 (b) 458 (c) 396
  11. 11.Which of these is a perfect cube? (a) 1728 (b) 2079 (c) 1912
  12. 12.What is 6³? =
  13. 13.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  14. 14.What is ∛125? =
  15. 15.What is 15³? =
  16. 16.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
  17. 17.What is the smallest whole number by which 16 must be multiplied to get a perfect cube?
  18. 18.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  19. 19.What is ∛8000? =
  20. 20.Which of these is a perfect cube? (a) 1216 (b) 1000 (c) 1171
  21. 21.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  22. 22.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  23. 23.What is 3³? =
  24. 24.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
  25. 25.What is the smallest whole number by which 128 must be multiplied to get a perfect cube?
  26. 26.A big cube of edge 18 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  27. 27.What is 16³? =
  28. 28.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  29. 29.What is 5³? =
  30. 30.Which of these is a perfect cube? (a) 784 (b) 729 (c) 775
  31. 31.What is 12³? =
  32. 32.What is 9³? =
  33. 33.What is ∛6859? =
  34. 34.What is 19³? =
  35. 35.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
  36. 36.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  37. 37.What is ∛5832? =
  38. 38.Which of these is a perfect cube? (a) 2197 (b) 2293 (c) 2376
  39. 39.What is ∛1331? =
  40. 40.Which of these is a perfect cube? (a) 246 (b) 240 (c) 216

Answer key

  1. 125
  2. 9
  3. 125
  4. 5
  5. 1331
  6. 64
  7. 64
  8. 4913
  9. 49
  10. 343
  11. 1728
  12. 216
  13. 6
  14. 5
  15. 3375
  16. 19
  17. 4
  18. 125
  19. 20
  20. 1000
  21. 8
  22. 3
  23. 27
  24. 16
  25. 4
  26. 216
  27. 4096
  28. 27
  29. 125
  30. 729
  31. 1728
  32. 729
  33. 19
  34. 6859
  35. 20
  36. 10
  37. 18
  38. 2197
  39. 11
  40. 216

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