← Cubes and cube roots lesson New set →

Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 490 · 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 5832 cubic cm. How long is each edge (in cm)?
  2. 2.What is ∛2197? =
  3. 3.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
  4. 4.Which of these is a perfect cube? (a) 2744 (b) 2944 (c) 3200
  5. 5.What is 5³? =
  6. 6.Which of these is a perfect cube? (a) 125 (b) 192 (c) 134
  7. 7.Which of these is a perfect cube? (a) 1145 (b) 1187 (c) 1000
  8. 8.What is the smallest whole number by which 128 must be divided to get a perfect cube?
  9. 9.Which of these is a perfect cube? (a) 77 (b) 64 (c) 103
  10. 10.What is 16³? =
  11. 11.What is 2³? =
  12. 12.What is 9³? =
  13. 13.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  14. 14.What is the smallest whole number by which 1944 must be divided to get a perfect cube?
  15. 15.What is 6³? =
  16. 16.What is the smallest whole number by which 3 must be multiplied to get a perfect cube?
  17. 17.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  18. 18.What is 3³? =
  19. 19.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  20. 20.What is 10³? =
  21. 21.What is ∛64? =
  22. 22.What is the smallest whole number by which 192 must be multiplied to get a perfect cube?
  23. 23.What is ∛343? =
  24. 24.What is ∛4096? =
  25. 25.What is ∛8? =
  26. 26.What is ∛1000? =
  27. 27.Which of these is a perfect cube? (a) 40 (b) 27 (c) 54
  28. 28.What is the smallest whole number by which 1600 must be divided to get a perfect cube?
  29. 29.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
  30. 30.What is the smallest whole number by which 3 must be divided to get a perfect cube?
  31. 31.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
  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 big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  34. 34.Which of these is a perfect cube? (a) 2399 (b) 2559 (c) 2197
  35. 35.A big cube of edge 15 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  36. 36.Which of these is a perfect cube? (a) 1331 (b) 1692 (c) 1626
  37. 37.What is ∛5832? =
  38. 38.What is 17³? =
  39. 39.What is the smallest whole number by which 2 must be divided to get a perfect cube?
  40. 40.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?

Answer key

  1. 18
  2. 13
  3. 16
  4. 2744
  5. 125
  6. 125
  7. 1000
  8. 2
  9. 64
  10. 4096
  11. 8
  12. 729
  13. 4
  14. 9
  15. 216
  16. 9
  17. 2
  18. 27
  19. 27
  20. 1000
  21. 4
  22. 9
  23. 7
  24. 16
  25. 2
  26. 10
  27. 27
  28. 25
  29. 19
  30. 3
  31. 17
  32. 27
  33. 64
  34. 2197
  35. 125
  36. 1331
  37. 18
  38. 4913
  39. 2
  40. 20

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