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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 957 · 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 ∛27? =
  2. 2.What is the smallest whole number by which 32 must be multiplied to get a perfect cube?
  3. 3.What is the smallest whole number by which 16 must be multiplied to get a perfect cube?
  4. 4.What is 18³? =
  5. 5.Which of these is a perfect cube? (a) 562 (b) 512 (c) 703
  6. 6.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  7. 7.What is 16³? =
  8. 8.Which of these is a perfect cube? (a) 2072 (b) 1751 (c) 1728
  9. 9.What is the smallest whole number by which 2 must be divided to get a perfect cube?
  10. 10.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
  11. 11.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
  12. 12.Which of these is a perfect cube? (a) 41 (b) 27 (c) 37
  13. 13.What is 17³? =
  14. 14.What is 4³? =
  15. 15.What is ∛343? =
  16. 16.What is the smallest whole number by which 200 must be multiplied to get a perfect cube?
  17. 17.What is 10³? =
  18. 18.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
  19. 19.Which of these is a perfect cube? (a) 1000 (b) 1162 (c) 1168
  20. 20.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  21. 21.What is 15³? =
  22. 22.What is ∛8? =
  23. 23.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  24. 24.What is 3³? =
  25. 25.What is ∛1000? =
  26. 26.Which of these is a perfect cube? (a) 3452 (b) 3375 (c) 3398
  27. 27.What is the smallest whole number by which 6125 must be divided to get a perfect cube?
  28. 28.What is ∛3375? =
  29. 29.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  30. 30.What is ∛5832? =
  31. 31.Which of these is a perfect cube? (a) 2937 (b) 3104 (c) 2744
  32. 32.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  33. 33.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
  34. 34.What is ∛1331? =
  35. 35.Which of these is a perfect cube? (a) 293 (b) 216 (c) 260
  36. 36.What is 9³? =
  37. 37.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  38. 38.What is 19³? =
  39. 39.What is the smallest whole number by which 135 must be multiplied to get a perfect cube?
  40. 40.What is 2³? =

Answer key

  1. 3
  2. 2
  3. 4
  4. 5832
  5. 512
  6. 6
  7. 4096
  8. 1728
  9. 2
  10. 17
  11. 14
  12. 27
  13. 4913
  14. 64
  15. 7
  16. 5
  17. 1000
  18. 18
  19. 1000
  20. 8
  21. 3375
  22. 2
  23. 8
  24. 27
  25. 10
  26. 3375
  27. 49
  28. 15
  29. 216
  30. 18
  31. 2744
  32. 216
  33. 19
  34. 11
  35. 216
  36. 729
  37. 27
  38. 6859
  39. 25
  40. 8

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