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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 526 · 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 ∛64? =
  2. 2.Which of these is a perfect cube? (a) 3754 (b) 3375 (c) 3950
  3. 3.What is the smallest whole number by which 189 must be divided 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.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
  6. 6.What is 11³? =
  7. 7.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  8. 8.What is the smallest whole number by which 108 must be divided to get a perfect cube?
  9. 9.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
  10. 10.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
  11. 11.What is ∛2744? =
  12. 12.Which of these is a perfect cube? (a) 512 (b) 636 (c) 591
  13. 13.What is ∛6859? =
  14. 14.What is 2³? =
  15. 15.What is the smallest whole number by which 375 must be divided to get a perfect cube?
  16. 16.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  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.What is the smallest whole number by which 3136 must be multiplied to get a perfect cube?
  19. 19.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  20. 20.Which of these is a perfect cube? (a) 1024 (b) 1209 (c) 1000
  21. 21.What is ∛12167? =
  22. 22.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  23. 23.Which of these is a perfect cube? (a) 378 (b) 343 (c) 353
  24. 24.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  25. 25.What is 7³? =
  26. 26.What is the smallest whole number by which 243 must be divided to get a perfect cube?
  27. 27.What is 3³? =
  28. 28.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  29. 29.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
  30. 30.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  31. 31.What is the smallest whole number by which 7 must be multiplied to get a perfect cube?
  32. 32.What is 10³? =
  33. 33.Which of these is a perfect cube? (a) 304 (b) 224 (c) 216
  34. 34.What is ∛9261? =
  35. 35.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  36. 36.What is ∛2197? =
  37. 37.Which of these is a perfect cube? (a) 66 (b) 78 (c) 64
  38. 38.What is 6³? =
  39. 39.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  40. 40.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?

Answer key

  1. 4
  2. 3375
  3. 7
  4. 3
  5. 17
  6. 1331
  7. 3
  8. 4
  9. 12
  10. 15
  11. 14
  12. 512
  13. 19
  14. 8
  15. 3
  16. 8
  17. 125
  18. 7
  19. 125
  20. 1000
  21. 23
  22. 2
  23. 343
  24. 8
  25. 343
  26. 9
  27. 27
  28. 125
  29. 20
  30. 13
  31. 49
  32. 1000
  33. 216
  34. 21
  35. 27
  36. 13
  37. 64
  38. 216
  39. 27
  40. 11

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