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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 303 · 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 4096 cubic cm. How long is each edge (in cm)?
  2. 2.What is the smallest whole number by which 875 must be multiplied to get a perfect cube?
  3. 3.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
  4. 4.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  5. 5.What is ∛512? =
  6. 6.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  7. 7.Which of these is a perfect cube? (a) 2547 (b) 2197 (c) 2358
  8. 8.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?
  9. 9.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  10. 10.Which of these is a perfect cube? (a) 343 (b) 427 (c) 488
  11. 11.Which of these is a perfect cube? (a) 64 (b) 69 (c) 65
  12. 12.What is the smallest whole number by which 54 must be multiplied to get a perfect cube?
  13. 13.What is the smallest whole number by which 56 must be divided to get a perfect cube?
  14. 14.What is the smallest whole number by which 448 must be multiplied to get a perfect cube?
  15. 15.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  16. 16.What is 9³? =
  17. 17.What is the smallest whole number by which 432 must be divided to get a perfect cube?
  18. 18.A big cube of edge 15 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  19. 19.What is ∛12167? =
  20. 20.What is the smallest whole number by which 1512 must be divided to get a perfect cube?
  21. 21.What is ∛8? =
  22. 22.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  23. 23.What is the smallest whole number by which 49 must be divided to get a perfect cube?
  24. 24.What is 10³? =
  25. 25.Which of these is a perfect cube? (a) 1331 (b) 1463 (c) 1570
  26. 26.Which of these is a perfect cube? (a) 125 (b) 133 (c) 156
  27. 27.Which of these is a perfect cube? (a) 3632 (b) 3375 (c) 3802
  28. 28.What is the smallest whole number by which 24 must be divided to get a perfect cube?
  29. 29.What is 11³? =
  30. 30.What is ∛729? =
  31. 31.What is ∛10648? =
  32. 32.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  33. 33.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  34. 34.What is ∛8000? =
  35. 35.What is ∛3375? =
  36. 36.Which of these is a perfect cube? (a) 27 (b) 30 (c) 33
  37. 37.Which of these is a perfect cube? (a) 1000 (b) 1211 (c) 1113
  38. 38.What is ∛4913? =
  39. 39.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
  40. 40.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?

Answer key

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

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