← Cubes and cube roots lesson New set →

Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 639 · 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) 1728 (b) 1983 (c) 1926
  2. 2.What is 11³? =
  3. 3.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  4. 4.What is 7³? =
  5. 5.Which of these is a perfect cube? (a) 1331 (b) 1628 (c) 1414
  6. 6.What is ∛4913? =
  7. 7.What is ∛3375? =
  8. 8.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  9. 9.Which of these is a perfect cube? (a) 1073 (b) 1115 (c) 1000
  10. 10.Which of these is a perfect cube? (a) 2411 (b) 2620 (c) 2197
  11. 11.Which of these is a perfect cube? (a) 3568 (b) 3412 (c) 3375
  12. 12.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  13. 13.What is the smallest whole number by which 32 must be divided to get a perfect cube?
  14. 14.What is 4³? =
  15. 15.What is 14³? =
  16. 16.What is ∛216? =
  17. 17.What is the smallest whole number by which 49 must be divided to get a perfect cube?
  18. 18.What is 10³? =
  19. 19.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  20. 20.What is the smallest whole number by which 375 must be multiplied to get a perfect cube?
  21. 21.A big cube of edge 20 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  22. 22.What is ∛5832? =
  23. 23.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  24. 24.What is ∛10648? =
  25. 25.What is the smallest whole number by which 3 must be multiplied to get a perfect cube?
  26. 26.What is the smallest whole number by which 392 must be multiplied to get a perfect cube?
  27. 27.What is 9³? =
  28. 28.What is ∛27? =
  29. 29.What is ∛12167? =
  30. 30.What is ∛343? =
  31. 31.What is ∛512? =
  32. 32.Which of these is a perfect cube? (a) 465 (b) 486 (c) 343
  33. 33.Which of these is a perfect cube? (a) 249 (b) 266 (c) 216
  34. 34.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  35. 35.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  36. 36.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  37. 37.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
  38. 38.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  39. 39.What is the smallest whole number by which 16 must be divided to get a perfect cube?
  40. 40.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?

Answer key

  1. 1728
  2. 1331
  3. 8
  4. 343
  5. 1331
  6. 17
  7. 15
  8. 4
  9. 1000
  10. 2197
  11. 3375
  12. 2
  13. 4
  14. 64
  15. 2744
  16. 6
  17. 49
  18. 1000
  19. 8
  20. 9
  21. 125
  22. 18
  23. 125
  24. 22
  25. 9
  26. 7
  27. 729
  28. 3
  29. 23
  30. 7
  31. 8
  32. 343
  33. 216
  34. 64
  35. 8
  36. 10
  37. 19
  38. 216
  39. 2
  40. 216

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