← Cubes and cube roots lesson New set →

Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 329 · 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 the smallest whole number by which 5 must be divided to get a perfect cube?
  2. 2.Which of these is a perfect cube? (a) 346 (b) 470 (c) 343
  3. 3.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  4. 4.What is 13³? =
  5. 5.What is 12³? =
  6. 6.What is 7³? =
  7. 7.What is 4³? =
  8. 8.What is the smallest whole number by which 1125 must be multiplied to get a perfect cube?
  9. 9.Which of these is a perfect cube? (a) 2960 (b) 2936 (c) 2744
  10. 10.What is 9³? =
  11. 11.What is ∛5832? =
  12. 12.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  13. 13.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  14. 14.What is the smallest whole number by which 7 must be divided to get a perfect cube?
  15. 15.What is the smallest whole number by which 448 must be multiplied to get a perfect cube?
  16. 16.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  17. 17.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
  18. 18.What is ∛343? =
  19. 19.What is the smallest whole number by which 1512 must be divided to get a perfect cube?
  20. 20.What is 3³? =
  21. 21.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  22. 22.What is the smallest whole number by which 375 must be multiplied to get a perfect cube?
  23. 23.What is 6³? =
  24. 24.Which of these is a perfect cube? (a) 821 (b) 729 (c) 779
  25. 25.Which of these is a perfect cube? (a) 3375 (b) 3973 (c) 3943
  26. 26.What is 2³? =
  27. 27.A big cube of edge 20 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  28. 28.What is 14³? =
  29. 29.What is ∛512? =
  30. 30.A big cube of edge 18 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  31. 31.Which of these is a perfect cube? (a) 2547 (b) 2243 (c) 2197
  32. 32.What is the smallest whole number by which 81 must be multiplied to get a perfect cube?
  33. 33.What is 18³? =
  34. 34.What is the smallest whole number by which 16 must be multiplied to get a perfect cube?
  35. 35.Which of these is a perfect cube? (a) 1768 (b) 1728 (c) 1940
  36. 36.A big cube of edge 15 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  37. 37.Which of these is a perfect cube? (a) 1582 (b) 1331 (c) 1617
  38. 38.What is ∛2197? =
  39. 39.What is the smallest whole number by which 875 must be divided to get a perfect cube?
  40. 40.What is the smallest whole number by which 3 must be divided to get a perfect cube?

Answer key

  1. 5
  2. 343
  3. 64
  4. 2197
  5. 1728
  6. 343
  7. 64
  8. 3
  9. 2744
  10. 729
  11. 18
  12. 8
  13. 125
  14. 7
  15. 49
  16. 8
  17. 20
  18. 7
  19. 7
  20. 27
  21. 27
  22. 9
  23. 216
  24. 729
  25. 3375
  26. 8
  27. 125
  28. 2744
  29. 8
  30. 216
  31. 2197
  32. 9
  33. 5832
  34. 4
  35. 1728
  36. 125
  37. 1331
  38. 13
  39. 7
  40. 3

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