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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 628 · 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) 3375 (b) 3763 (c) 3551
  2. 2.What is 3³? =
  3. 3.What is ∛64? =
  4. 4.Which of these is a perfect cube? (a) 297 (b) 277 (c) 216
  5. 5.What is 13³? =
  6. 6.What is 4³? =
  7. 7.Which of these is a perfect cube? (a) 132 (b) 125 (c) 155
  8. 8.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  9. 9.What is ∛15625? =
  10. 10.Which of these is a perfect cube? (a) 1331 (b) 1457 (c) 1490
  11. 11.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  12. 12.What is the smallest whole number by which 56 must be divided to get a perfect cube?
  13. 13.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  14. 14.What is 6³? =
  15. 15.What is ∛5832? =
  16. 16.What is the smallest whole number by which 1125 must be multiplied to get a perfect cube?
  17. 17.Which of these is a perfect cube? (a) 343 (b) 349 (c) 478
  18. 18.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
  19. 19.What is the smallest whole number by which 56 must be multiplied to get a perfect cube?
  20. 20.What is the smallest whole number by which 3125 must be multiplied to get a perfect cube?
  21. 21.What is the smallest whole number by which 32 must be divided to get a perfect cube?
  22. 22.What is ∛2744? =
  23. 23.A big cube of edge 18 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  24. 24.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  25. 25.What is 19³? =
  26. 26.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  27. 27.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
  28. 28.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  29. 29.What is ∛216? =
  30. 30.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?
  31. 31.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  32. 32.Which of these is a perfect cube? (a) 68 (b) 64 (c) 86
  33. 33.What is 18³? =
  34. 34.What is the smallest whole number by which 24 must be divided to get a perfect cube?
  35. 35.Which of these is a perfect cube? (a) 1197 (b) 1000 (c) 1286
  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.Which of these is a perfect cube? (a) 743 (b) 729 (c) 814
  38. 38.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
  39. 39.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  40. 40.What is the smallest whole number by which 256 must be multiplied to get a perfect cube?

Answer key

  1. 3375
  2. 27
  3. 4
  4. 216
  5. 2197
  6. 64
  7. 125
  8. 64
  9. 25
  10. 1331
  11. 7
  12. 7
  13. 8
  14. 216
  15. 18
  16. 3
  17. 343
  18. 14
  19. 49
  20. 5
  21. 4
  22. 14
  23. 216
  24. 8
  25. 6859
  26. 27
  27. 17
  28. 8
  29. 6
  30. 9
  31. 27
  32. 64
  33. 5832
  34. 3
  35. 1000
  36. 125
  37. 729
  38. 12
  39. 64
  40. 2

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