← Cubes and cube roots lesson New set →

Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 695 · 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 1331 cubic cm. How long is each edge (in cm)?
  2. 2.What is 19³? =
  3. 3.Which of these is a perfect cube? (a) 1331 (b) 1518 (c) 1638
  4. 4.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
  5. 5.Which of these is a perfect cube? (a) 658 (b) 559 (c) 512
  6. 6.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  7. 7.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  8. 8.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  9. 9.What is the smallest whole number by which 189 must be divided to get a perfect cube?
  10. 10.What is ∛10648? =
  11. 11.What is ∛27? =
  12. 12.What is the smallest whole number by which 675 must be multiplied to get a perfect cube?
  13. 13.What is the smallest whole number by which 5 must be multiplied to get a perfect cube?
  14. 14.What is 13³? =
  15. 15.Which of these is a perfect cube? (a) 2222 (b) 2197 (c) 2597
  16. 16.Which of these is a perfect cube? (a) 2772 (b) 2744 (c) 2766
  17. 17.What is 18³? =
  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 the smallest whole number by which 54 must be multiplied to get a perfect cube?
  20. 20.Which of these is a perfect cube? (a) 52 (b) 30 (c) 27
  21. 21.What is the smallest whole number by which 1323 must be multiplied to get a perfect cube?
  22. 22.What is 12³? =
  23. 23.What is 6³? =
  24. 24.What is 17³? =
  25. 25.What is 10³? =
  26. 26.Which of these is a perfect cube? (a) 150 (b) 125 (c) 133
  27. 27.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  28. 28.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  29. 29.Which of these is a perfect cube? (a) 1220 (b) 1199 (c) 1000
  30. 30.What is 11³? =
  31. 31.What is the smallest whole number by which 200 must be multiplied to get a perfect cube?
  32. 32.What is the smallest whole number by which 875 must be multiplied to get a perfect cube?
  33. 33.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
  34. 34.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  35. 35.What is ∛729? =
  36. 36.What is ∛1000? =
  37. 37.What is the smallest whole number by which 864 must be divided to get a perfect cube?
  38. 38.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  39. 39.Which of these is a perfect cube? (a) 64 (b) 100 (c) 111
  40. 40.What is 14³? =

Answer key

  1. 11
  2. 6859
  3. 1331
  4. 16
  5. 512
  6. 27
  7. 6
  8. 64
  9. 7
  10. 22
  11. 3
  12. 5
  13. 25
  14. 2197
  15. 2197
  16. 2744
  17. 5832
  18. 125
  19. 4
  20. 27
  21. 7
  22. 1728
  23. 216
  24. 4913
  25. 1000
  26. 125
  27. 10
  28. 216
  29. 1000
  30. 1331
  31. 5
  32. 49
  33. 15
  34. 5
  35. 9
  36. 10
  37. 4
  38. 3
  39. 64
  40. 2744

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