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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 970 · 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) 1437 (b) 1407 (c) 1331
  2. 2.What is 2³? =
  3. 3.What is ∛343? =
  4. 4.A big cube of edge 18 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  5. 5.What is 15³? =
  6. 6.What is ∛5832? =
  7. 7.Which of these is a perfect cube? (a) 277 (b) 216 (c) 238
  8. 8.What is 7³? =
  9. 9.What is ∛125? =
  10. 10.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
  11. 11.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  12. 12.What is 6³? =
  13. 13.What is ∛4096? =
  14. 14.What is ∛1000? =
  15. 15.What is 10³? =
  16. 16.What is ∛12167? =
  17. 17.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  18. 18.What is the smallest whole number by which 25 must be divided to get a perfect cube?
  19. 19.What is 3³? =
  20. 20.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
  21. 21.What is ∛8? =
  22. 22.What is ∛512? =
  23. 23.What is the smallest whole number by which 864 must be divided to get a perfect cube?
  24. 24.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
  25. 25.Which of these is a perfect cube? (a) 1285 (b) 1000 (c) 1033
  26. 26.Which of these is a perfect cube? (a) 27 (b) 39 (c) 53
  27. 27.What is 12³? =
  28. 28.What is 20³? =
  29. 29.What is ∛27? =
  30. 30.Which of these is a perfect cube? (a) 3193 (b) 2744 (c) 2877
  31. 31.What is the smallest whole number by which 16 must be divided to get a perfect cube?
  32. 32.What is the smallest whole number by which 243 must be multiplied to get a perfect cube?
  33. 33.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
  34. 34.What is the smallest whole number by which 500 must be divided to get a perfect cube?
  35. 35.Which of these is a perfect cube? (a) 512 (b) 566 (c) 516
  36. 36.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  37. 37.Which of these is a perfect cube? (a) 354 (b) 469 (c) 343
  38. 38.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  39. 39.What is the smallest whole number by which 128 must be multiplied to get a perfect cube?
  40. 40.What is 5³? =

Answer key

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

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