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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 741 · 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 16³? =
  2. 2.What is the smallest whole number by which 16 must be divided to get a perfect cube?
  3. 3.What is ∛8? =
  4. 4.Which of these is a perfect cube? (a) 27 (b) 53 (c) 33
  5. 5.A big cube of edge 12 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  6. 6.Which of these is a perfect cube? (a) 165 (b) 125 (c) 178
  7. 7.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
  8. 8.Which of these is a perfect cube? (a) 3231 (b) 2744 (c) 3277
  9. 9.Which of these is a perfect cube? (a) 71 (b) 65 (c) 64
  10. 10.What is ∛216? =
  11. 11.What is 4³? =
  12. 12.What is 15³? =
  13. 13.Which of these is a perfect cube? (a) 3514 (b) 3571 (c) 3375
  14. 14.What is ∛64? =
  15. 15.What is the smallest whole number by which 54 must be divided to get a perfect cube?
  16. 16.What is ∛512? =
  17. 17.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  18. 18.What is 3³? =
  19. 19.What is 13³? =
  20. 20.What is ∛125? =
  21. 21.Which of these is a perfect cube? (a) 2445 (b) 2452 (c) 2197
  22. 22.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  23. 23.What is the smallest whole number by which 1944 must be divided to get a perfect cube?
  24. 24.What is the smallest whole number by which 320 must be multiplied to get a perfect cube?
  25. 25.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?
  26. 26.What is the smallest whole number by which 128 must be divided to get a perfect cube?
  27. 27.What is 18³? =
  28. 28.What is 6³? =
  29. 29.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
  30. 30.What is ∛4913? =
  31. 31.What is the smallest whole number by which 4 must be multiplied to get a perfect cube?
  32. 32.What is the smallest whole number by which 108 must be multiplied to get a perfect cube?
  33. 33.Which of these is a perfect cube? (a) 1046 (b) 1232 (c) 1000
  34. 34.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
  35. 35.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  36. 36.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  37. 37.What is the smallest whole number by which 576 must be multiplied to get a perfect cube?
  38. 38.What is 11³? =
  39. 39.What is the smallest whole number by which 128 must be multiplied to get a perfect cube?
  40. 40.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?

Answer key

  1. 4096
  2. 2
  3. 2
  4. 27
  5. 64
  6. 125
  7. 12
  8. 2744
  9. 64
  10. 6
  11. 64
  12. 3375
  13. 3375
  14. 4
  15. 2
  16. 8
  17. 2
  18. 27
  19. 2197
  20. 5
  21. 2197
  22. 125
  23. 9
  24. 25
  25. 9
  26. 2
  27. 5832
  28. 216
  29. 16
  30. 17
  31. 2
  32. 2
  33. 1000
  34. 17
  35. 5
  36. 64
  37. 3
  38. 1331
  39. 4
  40. 27

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