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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 786 · 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.What is 11³? =
  3. 3.What is ∛1331? =
  4. 4.What is ∛4913? =
  5. 5.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  6. 6.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  7. 7.What is 10³? =
  8. 8.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  9. 9.What is the smallest whole number by which 3 must be multiplied to get a perfect cube?
  10. 10.What is 3³? =
  11. 11.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?
  12. 12.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  13. 13.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  14. 14.A big cube of edge 15 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  15. 15.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
  16. 16.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  17. 17.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
  18. 18.Which of these is a perfect cube? (a) 221 (b) 321 (c) 216
  19. 19.Which of these is a perfect cube? (a) 64 (b) 98 (c) 95
  20. 20.Which of these is a perfect cube? (a) 130 (b) 140 (c) 125
  21. 21.Which of these is a perfect cube? (a) 837 (b) 874 (c) 729
  22. 22.A big cube of edge 12 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  23. 23.What is 19³? =
  24. 24.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  25. 25.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  26. 26.What is 8³? =
  27. 27.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  28. 28.What is the smallest whole number by which 5400 must be multiplied to get a perfect cube?
  29. 29.What is 16³? =
  30. 30.What is the smallest whole number by which 81 must be multiplied to get a perfect cube?
  31. 31.Which of these is a perfect cube? (a) 512 (b) 688 (c) 662
  32. 32.Which of these is a perfect cube? (a) 54 (b) 29 (c) 27
  33. 33.What is 20³? =
  34. 34.What is 5³? =
  35. 35.What is ∛6859? =
  36. 36.Which of these is a perfect cube? (a) 3375 (b) 4037 (c) 3530
  37. 37.What is the smallest whole number by which 10584 must be multiplied to get a perfect cube?
  38. 38.What is ∛5832? =
  39. 39.What is ∛3375? =
  40. 40.What is the smallest whole number by which 392 must be multiplied to get a perfect cube?

Answer key

  1. 10
  2. 1331
  3. 11
  4. 17
  5. 4
  6. 8
  7. 1000
  8. 3
  9. 9
  10. 27
  11. 9
  12. 64
  13. 216
  14. 125
  15. 11
  16. 216
  17. 14
  18. 216
  19. 64
  20. 125
  21. 729
  22. 64
  23. 6859
  24. 216
  25. 8
  26. 512
  27. 8
  28. 5
  29. 4096
  30. 9
  31. 512
  32. 27
  33. 8000
  34. 125
  35. 19
  36. 3375
  37. 7
  38. 18
  39. 15
  40. 7

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