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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 572 · 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 ∛5832? =
  2. 2.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
  3. 3.What is the smallest whole number by which 49 must be divided to get a perfect cube?
  4. 4.What is the smallest whole number by which 24 must be multiplied to get a perfect cube?
  5. 5.What is 5³? =
  6. 6.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
  7. 7.What is 14³? =
  8. 8.Which of these is a perfect cube? (a) 2509 (b) 2197 (c) 2487
  9. 9.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  10. 10.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  11. 11.Which of these is a perfect cube? (a) 1000 (b) 1012 (c) 1100
  12. 12.Which of these is a perfect cube? (a) 147 (b) 138 (c) 125
  13. 13.What is ∛15625? =
  14. 14.What is ∛2744? =
  15. 15.What is the smallest whole number by which 875 must be divided to get a perfect cube?
  16. 16.What is ∛125? =
  17. 17.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  18. 18.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
  19. 19.What is 3³? =
  20. 20.Which of these is a perfect cube? (a) 317 (b) 216 (c) 253
  21. 21.What is the smallest whole number by which 4 must be multiplied to get a perfect cube?
  22. 22.What is ∛13824? =
  23. 23.Which of these is a perfect cube? (a) 1728 (b) 2122 (c) 1959
  24. 24.What is ∛729? =
  25. 25.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  26. 26.What is 11³? =
  27. 27.What is ∛12167? =
  28. 28.Which of these is a perfect cube? (a) 1342 (b) 1331 (c) 1665
  29. 29.What is 15³? =
  30. 30.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  31. 31.What is 7³? =
  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 the smallest whole number by which 16 must be multiplied to get a perfect cube?
  34. 34.What is the smallest whole number by which 5 must be multiplied to get a perfect cube?
  35. 35.What is the smallest whole number by which 625 must be divided to get a perfect cube?
  36. 36.A big cube of edge 18 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  37. 37.What is 17³? =
  38. 38.What is ∛343? =
  39. 39.What is the smallest whole number by which 448 must be divided to get a perfect cube?
  40. 40.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?

Answer key

  1. 18
  2. 18
  3. 49
  4. 9
  5. 125
  6. 16
  7. 2744
  8. 2197
  9. 6
  10. 8
  11. 1000
  12. 125
  13. 25
  14. 14
  15. 7
  16. 5
  17. 10
  18. 11
  19. 27
  20. 216
  21. 2
  22. 24
  23. 1728
  24. 9
  25. 2
  26. 1331
  27. 23
  28. 1331
  29. 3375
  30. 7
  31. 343
  32. 27
  33. 4
  34. 25
  35. 5
  36. 216
  37. 4913
  38. 7
  39. 7
  40. 216

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