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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 966 · 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) 64 (b) 67 (c) 73
  2. 2.Which of these is a perfect cube? (a) 1417 (b) 1588 (c) 1331
  3. 3.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
  4. 4.What is 7³? =
  5. 5.What is ∛216? =
  6. 6.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  7. 7.What is 11³? =
  8. 8.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  9. 9.What is the smallest whole number by which 5400 must be multiplied to get a perfect cube?
  10. 10.What is the smallest whole number by which 1125 must be divided to get a perfect cube?
  11. 11.What is 15³? =
  12. 12.What is ∛1000? =
  13. 13.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  14. 14.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
  15. 15.A big cube of edge 18 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  16. 16.What is the smallest whole number by which 1512 must be multiplied to get a perfect cube?
  17. 17.What is 2³? =
  18. 18.Which of these is a perfect cube? (a) 2813 (b) 3253 (c) 2744
  19. 19.Which of these is a perfect cube? (a) 865 (b) 729 (c) 873
  20. 20.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  21. 21.What is the smallest whole number by which 56 must be multiplied to get a perfect cube?
  22. 22.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  23. 23.What is 8³? =
  24. 24.What is ∛6859? =
  25. 25.What is 3³? =
  26. 26.What is 17³? =
  27. 27.What is the smallest whole number by which 56 must be divided to get a perfect cube?
  28. 28.What is ∛8? =
  29. 29.What is ∛8000? =
  30. 30.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  31. 31.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
  32. 32.What is 9³? =
  33. 33.Which of these is a perfect cube? (a) 3759 (b) 3375 (c) 3563
  34. 34.What is the smallest whole number by which 32 must be divided to get a perfect cube?
  35. 35.What is 5³? =
  36. 36.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
  37. 37.What is the smallest whole number by which 54 must be multiplied to get a perfect cube?
  38. 38.What is the smallest whole number by which 3 must be multiplied to get a perfect cube?
  39. 39.What is 4³? =
  40. 40.Which of these is a perfect cube? (a) 2545 (b) 2197 (c) 2610

Answer key

  1. 64
  2. 1331
  3. 14
  4. 343
  5. 6
  6. 4
  7. 1331
  8. 64
  9. 5
  10. 9
  11. 3375
  12. 10
  13. 10
  14. 17
  15. 216
  16. 49
  17. 8
  18. 2744
  19. 729
  20. 3
  21. 49
  22. 125
  23. 512
  24. 19
  25. 27
  26. 4913
  27. 7
  28. 2
  29. 20
  30. 8
  31. 19
  32. 729
  33. 3375
  34. 4
  35. 125
  36. 11
  37. 4
  38. 9
  39. 64
  40. 2197

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