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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 435 · 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 big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  2. 2.Which of these is a perfect cube? (a) 1258 (b) 1000 (c) 1187
  3. 3.What is 7³? =
  4. 4.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  5. 5.What is 20³? =
  6. 6.What is 3³? =
  7. 7.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
  8. 8.What is 6³? =
  9. 9.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  10. 10.What is ∛1728? =
  11. 11.What is 5³? =
  12. 12.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
  13. 13.Which of these is a perfect cube? (a) 3375 (b) 3588 (c) 3462
  14. 14.What is 2³? =
  15. 15.What is ∛343? =
  16. 16.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  17. 17.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  18. 18.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  19. 19.What is ∛15625? =
  20. 20.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
  21. 21.Which of these is a perfect cube? (a) 343 (b) 419 (c) 486
  22. 22.Which of these is a perfect cube? (a) 957 (b) 729 (c) 769
  23. 23.What is 12³? =
  24. 24.What is 16³? =
  25. 25.What is 11³? =
  26. 26.What is the smallest whole number by which 243 must be divided to get a perfect cube?
  27. 27.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  28. 28.What is 10³? =
  29. 29.Which of these is a perfect cube? (a) 125 (b) 155 (c) 127
  30. 30.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
  31. 31.What is ∛125? =
  32. 32.What is 13³? =
  33. 33.What is the smallest whole number by which 392 must be multiplied to get a perfect cube?
  34. 34.Which of these is a perfect cube? (a) 302 (b) 216 (c) 286
  35. 35.What is 9³? =
  36. 36.What is 14³? =
  37. 37.What is the smallest whole number by which 320 must be divided to get a perfect cube?
  38. 38.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
  39. 39.Which of these is a perfect cube? (a) 590 (b) 681 (c) 512
  40. 40.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?

Answer key

  1. 8
  2. 1000
  3. 343
  4. 27
  5. 8000
  6. 27
  7. 17
  8. 216
  9. 8
  10. 12
  11. 125
  12. 15
  13. 3375
  14. 8
  15. 7
  16. 64
  17. 6
  18. 216
  19. 25
  20. 18
  21. 343
  22. 729
  23. 1728
  24. 4096
  25. 1331
  26. 9
  27. 64
  28. 1000
  29. 125
  30. 20
  31. 5
  32. 2197
  33. 7
  34. 216
  35. 729
  36. 2744
  37. 5
  38. 16
  39. 512
  40. 4

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