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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 834 · 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.What is ∛1000? =
  2. 2.Which of these is a perfect cube? (a) 821 (b) 729 (c) 926
  3. 3.Which of these is a perfect cube? (a) 1530 (b) 1415 (c) 1331
  4. 4.What is the smallest whole number by which 49 must be multiplied to get a perfect cube?
  5. 5.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  6. 6.What is ∛27? =
  7. 7.What is the smallest whole number by which 3125 must be multiplied to get a perfect cube?
  8. 8.What is the smallest whole number by which 392 must be multiplied to get a perfect cube?
  9. 9.Which of these is a perfect cube? (a) 4019 (b) 3375 (c) 3401
  10. 10.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  11. 11.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  12. 12.What is ∛15625? =
  13. 13.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
  14. 14.Which of these is a perfect cube? (a) 2614 (b) 2679 (c) 2197
  15. 15.Which of these is a perfect cube? (a) 3116 (b) 3099 (c) 2744
  16. 16.What is ∛3375? =
  17. 17.What is the smallest whole number by which 5 must be divided to get a perfect cube?
  18. 18.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  19. 19.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  20. 20.What is the smallest whole number by which 3125 must be divided to get a perfect cube?
  21. 21.What is 19³? =
  22. 22.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  23. 23.Which of these is a perfect cube? (a) 344 (b) 477 (c) 343
  24. 24.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  25. 25.What is the smallest whole number by which 2 must be divided to get a perfect cube?
  26. 26.Which of these is a perfect cube? (a) 125 (b) 149 (c) 161
  27. 27.Which of these is a perfect cube? (a) 98 (b) 87 (c) 64
  28. 28.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  29. 29.Which of these is a perfect cube? (a) 597 (b) 515 (c) 512
  30. 30.A big cube of edge 6 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  31. 31.Which of these is a perfect cube? (a) 27 (b) 28 (c) 40
  32. 32.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  33. 33.What is the smallest whole number by which 192 must be divided to get a perfect cube?
  34. 34.What is the smallest whole number by which 72 must be divided to get a perfect cube?
  35. 35.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  36. 36.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  37. 37.Which of these is a perfect cube? (a) 1000 (b) 1234 (c) 1083
  38. 38.What is 4³? =
  39. 39.What is ∛10648? =
  40. 40.What is ∛64? =

Answer key

  1. 10
  2. 729
  3. 1331
  4. 7
  5. 8
  6. 3
  7. 5
  8. 7
  9. 3375
  10. 64
  11. 6
  12. 25
  13. 15
  14. 2197
  15. 2744
  16. 15
  17. 5
  18. 8
  19. 2
  20. 25
  21. 6859
  22. 8
  23. 343
  24. 64
  25. 2
  26. 125
  27. 64
  28. 216
  29. 512
  30. 27
  31. 27
  32. 3
  33. 3
  34. 9
  35. 216
  36. 27
  37. 1000
  38. 64
  39. 22
  40. 4

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