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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 822 · 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.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  2. 2.What is the smallest whole number by which 32 must be multiplied to get a perfect cube?
  3. 3.What is the smallest whole number by which 3125 must be multiplied to get a perfect cube?
  4. 4.What is the smallest whole number by which 24 must be divided to get a perfect cube?
  5. 5.What is 17³? =
  6. 6.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
  7. 7.What is 3³? =
  8. 8.What is 6³? =
  9. 9.A big cube of edge 18 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  10. 10.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  11. 11.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?
  12. 12.What is 4³? =
  13. 13.A big cube of edge 12 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  14. 14.Which of these is a perfect cube? (a) 2396 (b) 2380 (c) 2197
  15. 15.What is 13³? =
  16. 16.Which of these is a perfect cube? (a) 73 (b) 64 (c) 69
  17. 17.What is 8³? =
  18. 18.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  19. 19.What is ∛1331? =
  20. 20.What is ∛216? =
  21. 21.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
  22. 22.What is ∛2744? =
  23. 23.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
  24. 24.What is the smallest whole number by which 128 must be divided to get a perfect cube?
  25. 25.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  26. 26.Which of these is a perfect cube? (a) 782 (b) 729 (c) 796
  27. 27.Which of these is a perfect cube? (a) 1331 (b) 1615 (c) 1428
  28. 28.Which of these is a perfect cube? (a) 388 (b) 479 (c) 343
  29. 29.What is ∛15625? =
  30. 30.What is 7³? =
  31. 31.What is ∛4096? =
  32. 32.Which of these is a perfect cube? (a) 512 (b) 619 (c) 517
  33. 33.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  34. 34.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  35. 35.A big cube of edge 6 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  36. 36.What is the smallest whole number by which 250 must be multiplied to get a perfect cube?
  37. 37.Which of these is a perfect cube? (a) 2772 (b) 2744 (c) 2897
  38. 38.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  39. 39.Which of these is a perfect cube? (a) 3399 (b) 3375 (c) 4000
  40. 40.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?

Answer key

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

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