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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 524 · 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.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
  2. 2.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  3. 3.What is ∛27? =
  4. 4.What is the smallest whole number by which 5400 must be multiplied to get a perfect cube?
  5. 5.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  6. 6.Which of these is a perfect cube? (a) 395 (b) 439 (c) 343
  7. 7.Which of these is a perfect cube? (a) 216 (b) 290 (c) 244
  8. 8.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  9. 9.What is the smallest whole number by which 4 must be multiplied to get a perfect cube?
  10. 10.What is the smallest whole number by which 1512 must be divided 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.Which of these is a perfect cube? (a) 125 (b) 152 (c) 165
  13. 13.Which of these is a perfect cube? (a) 1089 (b) 1000 (c) 1037
  14. 14.Which of these is a perfect cube? (a) 3375 (b) 3548 (c) 4041
  15. 15.What is the smallest whole number by which 432 must be multiplied to get a perfect cube?
  16. 16.What is 3³? =
  17. 17.Which of these is a perfect cube? (a) 3142 (b) 2744 (c) 2828
  18. 18.What is the smallest whole number by which 10584 must be multiplied to get a perfect cube?
  19. 19.What is 9³? =
  20. 20.What is ∛15625? =
  21. 21.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  22. 22.What is 13³? =
  23. 23.What is 8³? =
  24. 24.What is ∛8000? =
  25. 25.A big cube of edge 18 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  26. 26.A big cube of edge 15 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  27. 27.What is the smallest whole number by which 648 must be multiplied to get a perfect cube?
  28. 28.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  29. 29.Which of these is a perfect cube? (a) 33 (b) 40 (c) 27
  30. 30.What is ∛125? =
  31. 31.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  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.What is the smallest whole number by which 6125 must be multiplied to get a perfect cube?
  34. 34.What is 10³? =
  35. 35.What is 2³? =
  36. 36.What is ∛5832? =
  37. 37.Which of these is a perfect cube? (a) 1778 (b) 1728 (c) 2012
  38. 38.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
  39. 39.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  40. 40.What is 11³? =

Answer key

  1. 20
  2. 27
  3. 3
  4. 5
  5. 8
  6. 343
  7. 216
  8. 8
  9. 2
  10. 7
  11. 64
  12. 125
  13. 1000
  14. 3375
  15. 4
  16. 27
  17. 2744
  18. 7
  19. 729
  20. 25
  21. 7
  22. 2197
  23. 512
  24. 20
  25. 216
  26. 125
  27. 9
  28. 10
  29. 27
  30. 5
  31. 2
  32. 216
  33. 7
  34. 1000
  35. 8
  36. 18
  37. 1728
  38. 19
  39. 13
  40. 1331

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