← Cubes and cube roots lesson New set →

Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 388 · 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 13³? =
  2. 2.Which of these is a perfect cube? (a) 74 (b) 64 (c) 67
  3. 3.What is ∛216? =
  4. 4.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  5. 5.What is 16³? =
  6. 6.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  7. 7.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
  8. 8.Which of these is a perfect cube? (a) 2869 (b) 3318 (c) 2744
  9. 9.What is the smallest whole number by which 40 must be multiplied to get a perfect cube?
  10. 10.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  11. 11.Which of these is a perfect cube? (a) 1000 (b) 1082 (c) 1220
  12. 12.What is ∛4096? =
  13. 13.What is ∛8? =
  14. 14.What is 15³? =
  15. 15.What is ∛27? =
  16. 16.Which of these is a perfect cube? (a) 524 (b) 642 (c) 512
  17. 17.Which of these is a perfect cube? (a) 198 (b) 131 (c) 125
  18. 18.What is ∛15625? =
  19. 19.What is 4³? =
  20. 20.What is 6³? =
  21. 21.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  22. 22.What is ∛2197? =
  23. 23.What is the smallest whole number by which 128 must be divided to get a perfect cube?
  24. 24.A big cube of edge 6 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  25. 25.What is 11³? =
  26. 26.What is the smallest whole number by which 5 must be multiplied to get a perfect cube?
  27. 27.What is 7³? =
  28. 28.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  29. 29.What is the smallest whole number by which 625 must be multiplied to get a perfect cube?
  30. 30.What is ∛2744? =
  31. 31.Which of these is a perfect cube? (a) 2074 (b) 1811 (c) 1728
  32. 32.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  33. 33.What is the smallest whole number by which 6125 must be divided to get a perfect cube?
  34. 34.Which of these is a perfect cube? (a) 28 (b) 27 (c) 53
  35. 35.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  36. 36.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
  37. 37.A big cube of edge 18 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  38. 38.What is the smallest whole number by which 10584 must be divided to get a perfect cube?
  39. 39.What is 8³? =
  40. 40.What is 3³? =

Answer key

  1. 2197
  2. 64
  3. 6
  4. 125
  5. 4096
  6. 3
  7. 16
  8. 2744
  9. 25
  10. 216
  11. 1000
  12. 16
  13. 2
  14. 3375
  15. 3
  16. 512
  17. 125
  18. 25
  19. 64
  20. 216
  21. 27
  22. 13
  23. 2
  24. 27
  25. 1331
  26. 25
  27. 343
  28. 8
  29. 25
  30. 14
  31. 1728
  32. 64
  33. 49
  34. 27
  35. 2
  36. 17
  37. 216
  38. 49
  39. 512
  40. 27

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