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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 353 · 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) 512 (b) 591 (c) 640
  2. 2.A big cube of edge 18 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  3. 3.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
  4. 4.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  5. 5.What is the smallest whole number by which 250 must be multiplied to get a perfect cube?
  6. 6.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  7. 7.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  8. 8.What is 10³? =
  9. 9.Which of these is a perfect cube? (a) 3375 (b) 3480 (c) 3394
  10. 10.What is the smallest whole number by which 3 must be multiplied to get a perfect cube?
  11. 11.What is ∛8? =
  12. 12.What is 2³? =
  13. 13.Which of these is a perfect cube? (a) 2744 (b) 2842 (c) 3325
  14. 14.What is the smallest whole number by which 32 must be divided to get a perfect cube?
  15. 15.Which of these is a perfect cube? (a) 777 (b) 768 (c) 729
  16. 16.What is the smallest whole number by which 243 must be divided to get a perfect cube?
  17. 17.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  18. 18.What is 8³? =
  19. 19.What is 11³? =
  20. 20.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  21. 21.What is ∛15625? =
  22. 22.What is 18³? =
  23. 23.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  24. 24.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
  25. 25.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  26. 26.What is 6³? =
  27. 27.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
  28. 28.What is 3³? =
  29. 29.What is the smallest whole number by which 135 must be multiplied to get a perfect cube?
  30. 30.What is ∛8000? =
  31. 31.What is ∛6859? =
  32. 32.A big cube of edge 6 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  33. 33.What is 13³? =
  34. 34.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  35. 35.Which of these is a perfect cube? (a) 27 (b) 53 (c) 39
  36. 36.What is ∛1331? =
  37. 37.What is the smallest whole number by which 10584 must be multiplied to get a perfect cube?
  38. 38.A big cube of edge 12 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  39. 39.What is the smallest whole number by which 128 must be divided to get a perfect cube?
  40. 40.What is 15³? =

Answer key

  1. 512
  2. 216
  3. 20
  4. 13
  5. 4
  6. 125
  7. 125
  8. 1000
  9. 3375
  10. 9
  11. 2
  12. 8
  13. 2744
  14. 4
  15. 729
  16. 9
  17. 27
  18. 512
  19. 1331
  20. 6
  21. 25
  22. 5832
  23. 10
  24. 12
  25. 7
  26. 216
  27. 17
  28. 27
  29. 25
  30. 20
  31. 19
  32. 27
  33. 2197
  34. 8
  35. 27
  36. 11
  37. 7
  38. 64
  39. 2
  40. 3375

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