← Cubes and cube roots lesson New set →

Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 726 · 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 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  2. 2.What is the smallest whole number by which 256 must be divided to get a perfect cube?
  3. 3.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  4. 4.What is 6³? =
  5. 5.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  6. 6.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  7. 7.Which of these is a perfect cube? (a) 109 (b) 64 (c) 104
  8. 8.What is the smallest whole number by which 200 must be divided to get a perfect cube?
  9. 9.What is ∛729? =
  10. 10.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
  11. 11.What is ∛9261? =
  12. 12.What is ∛216? =
  13. 13.What is the smallest whole number by which 128 must be multiplied to get a perfect cube?
  14. 14.A big cube of edge 15 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  15. 15.What is 9³? =
  16. 16.What is the smallest whole number by which 875 must be divided to get a perfect cube?
  17. 17.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
  18. 18.Which of these is a perfect cube? (a) 652 (b) 512 (c) 635
  19. 19.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  20. 20.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?
  21. 21.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  22. 22.What is the smallest whole number by which 1944 must be divided to get a perfect cube?
  23. 23.What is 11³? =
  24. 24.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  25. 25.Which of these is a perfect cube? (a) 882 (b) 729 (c) 757
  26. 26.What is the smallest whole number by which 81 must be divided to get a perfect cube?
  27. 27.What is ∛64? =
  28. 28.What is the smallest whole number by which 1944 must be multiplied to get a perfect cube?
  29. 29.What is 4³? =
  30. 30.What is ∛4096? =
  31. 31.Which of these is a perfect cube? (a) 473 (b) 348 (c) 343
  32. 32.What is ∛27? =
  33. 33.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  34. 34.What is 5³? =
  35. 35.What is the smallest whole number by which 24 must be divided to get a perfect cube?
  36. 36.What is ∛2744? =
  37. 37.Which of these is a perfect cube? (a) 2617 (b) 2548 (c) 2197
  38. 38.What is the smallest whole number by which 392 must be multiplied to get a perfect cube?
  39. 39.What is the smallest whole number by which 24 must be multiplied to get a perfect cube?
  40. 40.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?

Answer key

  1. 64
  2. 4
  3. 64
  4. 216
  5. 2
  6. 10
  7. 64
  8. 25
  9. 9
  10. 18
  11. 21
  12. 6
  13. 4
  14. 125
  15. 729
  16. 7
  17. 20
  18. 512
  19. 8
  20. 9
  21. 125
  22. 9
  23. 1331
  24. 8
  25. 729
  26. 3
  27. 4
  28. 3
  29. 64
  30. 16
  31. 343
  32. 3
  33. 8
  34. 125
  35. 3
  36. 14
  37. 2197
  38. 7
  39. 9
  40. 216

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