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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 607 · 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) 3204 (b) 2744 (c) 2958
  2. 2.Which of these is a perfect cube? (a) 592 (b) 512 (c) 535
  3. 3.Which of these is a perfect cube? (a) 149 (b) 164 (c) 125
  4. 4.What is ∛13824? =
  5. 5.What is the smallest whole number by which 2 must be divided to get a perfect cube?
  6. 6.What is the smallest whole number by which 875 must be multiplied to get a perfect cube?
  7. 7.Which of these is a perfect cube? (a) 2104 (b) 1756 (c) 1728
  8. 8.What is 18³? =
  9. 9.What is 16³? =
  10. 10.What is the smallest whole number by which 5 must be multiplied to get a perfect cube?
  11. 11.A big cube of edge 12 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  12. 12.What is ∛27? =
  13. 13.Which of these is a perfect cube? (a) 2324 (b) 2549 (c) 2197
  14. 14.What is ∛8? =
  15. 15.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  16. 16.What is ∛6859? =
  17. 17.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
  18. 18.Which of these is a perfect cube? (a) 1114 (b) 1161 (c) 1000
  19. 19.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?
  20. 20.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  21. 21.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  22. 22.What is ∛8000? =
  23. 23.What is ∛3375? =
  24. 24.What is the smallest whole number by which 7 must be divided to get a perfect cube?
  25. 25.What is the smallest whole number by which 1944 must be divided to get a perfect cube?
  26. 26.What is the smallest whole number by which 3125 must be divided to get a perfect cube?
  27. 27.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  28. 28.Which of these is a perfect cube? (a) 3375 (b) 3647 (c) 4023
  29. 29.What is ∛4096? =
  30. 30.What is 8³? =
  31. 31.What is the smallest whole number by which 9 must be multiplied to get a perfect cube?
  32. 32.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  33. 33.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  34. 34.What is the smallest whole number by which 648 must be multiplied to get a perfect cube?
  35. 35.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
  36. 36.What is 4³? =
  37. 37.What is the smallest whole number by which 392 must be multiplied to get a perfect cube?
  38. 38.What is 20³? =
  39. 39.What is ∛125? =
  40. 40.What is 14³? =

Answer key

  1. 2744
  2. 512
  3. 125
  4. 24
  5. 2
  6. 49
  7. 1728
  8. 5832
  9. 4096
  10. 25
  11. 64
  12. 3
  13. 2197
  14. 2
  15. 3
  16. 19
  17. 12
  18. 1000
  19. 9
  20. 125
  21. 64
  22. 20
  23. 15
  24. 7
  25. 9
  26. 25
  27. 8
  28. 3375
  29. 16
  30. 512
  31. 3
  32. 8
  33. 6
  34. 9
  35. 11
  36. 64
  37. 7
  38. 8000
  39. 5
  40. 2744

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