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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 434 · 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 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  2. 2.Which of these is a perfect cube? (a) 354 (b) 452 (c) 343
  3. 3.What is ∛5832? =
  4. 4.What is the smallest whole number by which 56 must be divided to get a perfect cube?
  5. 5.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
  6. 6.What is ∛216? =
  7. 7.What is ∛4096? =
  8. 8.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  9. 9.Which of these is a perfect cube? (a) 125 (b) 187 (c) 144
  10. 10.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  11. 11.Which of these is a perfect cube? (a) 216 (b) 290 (c) 280
  12. 12.What is the smallest whole number by which 864 must be divided to get a perfect cube?
  13. 13.What is the smallest whole number by which 448 must be divided to get a perfect cube?
  14. 14.What is ∛512? =
  15. 15.A big cube of edge 6 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  16. 16.What is 12³? =
  17. 17.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  18. 18.A big cube of edge 20 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  19. 19.What is ∛125? =
  20. 20.Which of these is a perfect cube? (a) 872 (b) 729 (c) 935
  21. 21.What is 13³? =
  22. 22.Which of these is a perfect cube? (a) 1728 (b) 2008 (c) 2056
  23. 23.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  24. 24.What is ∛6859? =
  25. 25.A big cube of edge 12 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  26. 26.What is 7³? =
  27. 27.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
  28. 28.What is the smallest whole number by which 243 must be divided to get a perfect cube?
  29. 29.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
  30. 30.Which of these is a perfect cube? (a) 2248 (b) 2636 (c) 2197
  31. 31.A big cube of edge 15 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  32. 32.What is ∛10648? =
  33. 33.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  34. 34.What is 15³? =
  35. 35.What is 8³? =
  36. 36.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
  37. 37.What is 18³? =
  38. 38.What is 2³? =
  39. 39.What is the smallest whole number by which 576 must be divided to get a perfect cube?
  40. 40.What is 14³? =

Answer key

  1. 64
  2. 343
  3. 18
  4. 7
  5. 18
  6. 6
  7. 16
  8. 13
  9. 125
  10. 8
  11. 216
  12. 4
  13. 7
  14. 8
  15. 27
  16. 1728
  17. 64
  18. 125
  19. 5
  20. 729
  21. 2197
  22. 1728
  23. 216
  24. 19
  25. 64
  26. 343
  27. 15
  28. 9
  29. 12
  30. 2197
  31. 125
  32. 22
  33. 27
  34. 3375
  35. 512
  36. 14
  37. 5832
  38. 8
  39. 9
  40. 2744

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