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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 579 · 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 8³? =
  2. 2.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
  3. 3.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
  4. 4.What is ∛4913? =
  5. 5.What is the smallest whole number by which 1125 must be multiplied to get a perfect cube?
  6. 6.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  7. 7.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  8. 8.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  9. 9.Which of these is a perfect cube? (a) 2744 (b) 3175 (c) 2943
  10. 10.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  11. 11.What is the smallest whole number by which 250 must be divided to get a perfect cube?
  12. 12.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  13. 13.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  14. 14.Which of these is a perfect cube? (a) 1164 (b) 1112 (c) 1000
  15. 15.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  16. 16.What is ∛343? =
  17. 17.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  18. 18.What is the smallest whole number by which 576 must be divided to get a perfect cube?
  19. 19.A cube has a volume of 216 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 the smallest whole number by which 40 must be divided to get a perfect cube?
  22. 22.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  23. 23.What is the smallest whole number by which 2 must be multiplied to get a perfect cube?
  24. 24.Which of these is a perfect cube? (a) 590 (b) 597 (c) 512
  25. 25.What is the smallest whole number by which 1512 must be multiplied to get a perfect cube?
  26. 26.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
  27. 27.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  28. 28.What is the smallest whole number by which 24 must be multiplied to get a perfect cube?
  29. 29.What is ∛3375? =
  30. 30.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
  31. 31.Which of these is a perfect cube? (a) 35 (b) 27 (c) 32
  32. 32.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  33. 33.What is ∛8000? =
  34. 34.What is ∛512? =
  35. 35.Which of these is a perfect cube? (a) 2560 (b) 2227 (c) 2197
  36. 36.What is the smallest whole number by which 864 must be multiplied to get a perfect cube?
  37. 37.What is ∛1728? =
  38. 38.What is 11³? =
  39. 39.What is the smallest whole number by which 320 must be divided to get a perfect cube?
  40. 40.What is 14³? =

Answer key

  1. 512
  2. 19
  3. 14
  4. 17
  5. 3
  6. 216
  7. 64
  8. 3
  9. 2744
  10. 10
  11. 2
  12. 13
  13. 4
  14. 1000
  15. 27
  16. 7
  17. 5
  18. 9
  19. 6
  20. 25
  21. 5
  22. 8
  23. 4
  24. 512
  25. 49
  26. 11
  27. 216
  28. 9
  29. 15
  30. 17
  31. 27
  32. 64
  33. 20
  34. 8
  35. 2197
  36. 2
  37. 12
  38. 1331
  39. 5
  40. 2744

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