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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 226 · 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 12 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  2. 2.Which of these is a perfect cube? (a) 88 (b) 64 (c) 87
  3. 3.Which of these is a perfect cube? (a) 1663 (b) 1517 (c) 1331
  4. 4.Which of these is a perfect cube? (a) 27 (b) 50 (c) 43
  5. 5.What is 10³? =
  6. 6.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  7. 7.What is the smallest whole number by which 24 must be divided to get a perfect cube?
  8. 8.What is 7³? =
  9. 9.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  10. 10.What is ∛15625? =
  11. 11.What is 2³? =
  12. 12.What is the smallest whole number by which 500 must be multiplied to get a perfect cube?
  13. 13.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  14. 14.What is the smallest whole number by which 40 must be divided to get a perfect cube?
  15. 15.What is ∛9261? =
  16. 16.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  17. 17.A big cube of edge 15 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  18. 18.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
  19. 19.What is 14³? =
  20. 20.Which of these is a perfect cube? (a) 343 (b) 379 (c) 433
  21. 21.What is the smallest whole number by which 72 must be multiplied to get a perfect cube?
  22. 22.What is ∛10648? =
  23. 23.What is the smallest whole number by which 49 must be multiplied to get a perfect cube?
  24. 24.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  25. 25.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  26. 26.Which of these is a perfect cube? (a) 3375 (b) 3458 (c) 3559
  27. 27.What is 11³? =
  28. 28.Which of these is a perfect cube? (a) 228 (b) 266 (c) 216
  29. 29.Which of these is a perfect cube? (a) 1154 (b) 1285 (c) 1000
  30. 30.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  31. 31.What is the smallest whole number by which 448 must be multiplied to get a perfect cube?
  32. 32.What is the smallest whole number by which 1323 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.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?
  35. 35.What is ∛1728? =
  36. 36.What is the smallest whole number by which 25 must be divided to get a perfect cube?
  37. 37.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  38. 38.What is the smallest whole number by which 56 must be divided to get a perfect cube?
  39. 39.What is ∛64? =
  40. 40.Which of these is a perfect cube? (a) 3195 (b) 2744 (c) 3279

Answer key

  1. 64
  2. 64
  3. 1331
  4. 27
  5. 1000
  6. 216
  7. 3
  8. 343
  9. 6
  10. 25
  11. 8
  12. 2
  13. 27
  14. 5
  15. 21
  16. 13
  17. 125
  18. 20
  19. 2744
  20. 343
  21. 3
  22. 22
  23. 7
  24. 8
  25. 2
  26. 3375
  27. 1331
  28. 216
  29. 1000
  30. 27
  31. 49
  32. 7
  33. 17
  34. 9
  35. 12
  36. 25
  37. 4
  38. 7
  39. 4
  40. 2744

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