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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 685 · 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 7³? =
  2. 2.What is 15³? =
  3. 3.What is ∛6859? =
  4. 4.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
  5. 5.Which of these is a perfect cube? (a) 2744 (b) 3299 (c) 3015
  6. 6.A big cube of edge 18 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  7. 7.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  8. 8.Which of these is a perfect cube? (a) 184 (b) 125 (c) 135
  9. 9.What is ∛2744? =
  10. 10.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  11. 11.What is the smallest whole number by which 250 must be divided to get a perfect cube?
  12. 12.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  13. 13.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  14. 14.What is 5³? =
  15. 15.Which of these is a perfect cube? (a) 3611 (b) 3375 (c) 4009
  16. 16.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  17. 17.What is 4³? =
  18. 18.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  19. 19.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  20. 20.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  21. 21.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  22. 22.What is the smallest whole number by which 864 must be multiplied to get a perfect cube?
  23. 23.What is ∛2197? =
  24. 24.What is ∛10648? =
  25. 25.A big cube of edge 20 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  26. 26.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
  27. 27.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  28. 28.A big cube of edge 15 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  29. 29.What is ∛5832? =
  30. 30.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  31. 31.Which of these is a perfect cube? (a) 231 (b) 216 (c) 237
  32. 32.What is 16³? =
  33. 33.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  34. 34.What is the smallest whole number by which 3 must be divided to get a perfect cube?
  35. 35.What is the smallest whole number by which 5 must be divided to get a perfect cube?
  36. 36.What is ∛3375? =
  37. 37.What is 17³? =
  38. 38.What is ∛1000? =
  39. 39.What is 10³? =
  40. 40.What is ∛13824? =

Answer key

  1. 343
  2. 3375
  3. 19
  4. 14
  5. 2744
  6. 216
  7. 8
  8. 125
  9. 14
  10. 5
  11. 2
  12. 8
  13. 2
  14. 125
  15. 3375
  16. 6
  17. 64
  18. 10
  19. 8
  20. 4
  21. 64
  22. 2
  23. 13
  24. 22
  25. 125
  26. 15
  27. 7
  28. 125
  29. 18
  30. 125
  31. 216
  32. 4096
  33. 8
  34. 3
  35. 5
  36. 15
  37. 4913
  38. 10
  39. 1000
  40. 24

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