← Cubes and cube roots lesson New set →

Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 555 · 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 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  2. 2.What is 11³? =
  3. 3.What is the smallest whole number by which 24 must be multiplied to get a perfect cube?
  4. 4.What is ∛2197? =
  5. 5.What is 16³? =
  6. 6.Which of these is a perfect cube? (a) 2557 (b) 2197 (c) 2498
  7. 7.What is the smallest whole number by which 576 must be multiplied to get a perfect cube?
  8. 8.What is 2³? =
  9. 9.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
  10. 10.What is 5³? =
  11. 11.What is ∛3375? =
  12. 12.What is ∛512? =
  13. 13.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
  14. 14.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  15. 15.What is 3³? =
  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 125 cubic cm. How long is each edge (in cm)?
  18. 18.What is the smallest whole number by which 72 must be divided to get a perfect cube?
  19. 19.What is ∛6859? =
  20. 20.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
  21. 21.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
  22. 22.What is ∛64? =
  23. 23.What is the smallest whole number by which 648 must be divided to get a perfect cube?
  24. 24.What is 18³? =
  25. 25.What is 9³? =
  26. 26.Which of these is a perfect cube? (a) 343 (b) 349 (c) 456
  27. 27.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  28. 28.What is ∛5832? =
  29. 29.What is 4³? =
  30. 30.What is the smallest whole number by which 1600 must be divided to get a perfect cube?
  31. 31.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  32. 32.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  33. 33.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
  34. 34.What is the smallest whole number by which 192 must be multiplied to get a perfect cube?
  35. 35.Which of these is a perfect cube? (a) 3887 (b) 3748 (c) 3375
  36. 36.What is 20³? =
  37. 37.A big cube of edge 12 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  38. 38.What is 7³? =
  39. 39.What is 8³? =
  40. 40.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?

Answer key

  1. 125
  2. 1331
  3. 9
  4. 13
  5. 4096
  6. 2197
  7. 3
  8. 8
  9. 17
  10. 125
  11. 15
  12. 8
  13. 19
  14. 27
  15. 27
  16. 8
  17. 5
  18. 9
  19. 19
  20. 12
  21. 15
  22. 4
  23. 3
  24. 5832
  25. 729
  26. 343
  27. 64
  28. 18
  29. 64
  30. 25
  31. 216
  32. 27
  33. 11
  34. 9
  35. 3375
  36. 8000
  37. 64
  38. 343
  39. 512
  40. 4

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