← Cubes and cube roots lesson New set →

Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 954 · 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.Which of these is a perfect cube? (a) 1666 (b) 1365 (c) 1331
  2. 2.What is 6³? =
  3. 3.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  4. 4.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
  5. 5.What is 20³? =
  6. 6.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  7. 7.What is the smallest whole number by which 576 must be multiplied to get a perfect cube?
  8. 8.What is ∛343? =
  9. 9.What is the smallest whole number by which 135 must be divided to get a perfect cube?
  10. 10.Which of these is a perfect cube? (a) 64 (b) 68 (c) 108
  11. 11.What is 12³? =
  12. 12.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
  13. 13.What is the smallest whole number by which 648 must be divided to get a perfect cube?
  14. 14.What is 16³? =
  15. 15.What is the smallest whole number by which 675 must be divided to get a perfect cube?
  16. 16.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  17. 17.Which of these is a perfect cube? (a) 3550 (b) 3375 (c) 3552
  18. 18.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  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.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
  21. 21.Which of these is a perfect cube? (a) 125 (b) 191 (c) 147
  22. 22.Which of these is a perfect cube? (a) 318 (b) 216 (c) 278
  23. 23.What is 5³? =
  24. 24.What is the smallest whole number by which 1125 must be divided to get a perfect cube?
  25. 25.What is 8³? =
  26. 26.What is ∛8? =
  27. 27.What is ∛3375? =
  28. 28.What is the smallest whole number by which 25 must be multiplied to get a perfect cube?
  29. 29.What is ∛512? =
  30. 30.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
  31. 31.Which of these is a perfect cube? (a) 2417 (b) 2197 (c) 2667
  32. 32.Which of these is a perfect cube? (a) 28 (b) 42 (c) 27
  33. 33.What is 13³? =
  34. 34.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  35. 35.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  36. 36.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  37. 37.What is 4³? =
  38. 38.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  39. 39.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  40. 40.What is ∛6859? =

Answer key

  1. 1331
  2. 216
  3. 2
  4. 11
  5. 8000
  6. 8
  7. 3
  8. 7
  9. 5
  10. 64
  11. 1728
  12. 19
  13. 3
  14. 4096
  15. 25
  16. 27
  17. 3375
  18. 125
  19. 27
  20. 16
  21. 125
  22. 216
  23. 125
  24. 9
  25. 512
  26. 2
  27. 15
  28. 5
  29. 8
  30. 18
  31. 2197
  32. 27
  33. 2197
  34. 27
  35. 13
  36. 125
  37. 64
  38. 5
  39. 7
  40. 19

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