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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 195 · 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) 259 (b) 251 (c) 216
  2. 2.Which of these is a perfect cube? (a) 3375 (b) 3709 (c) 3382
  3. 3.What is 14³? =
  4. 4.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  5. 5.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  6. 6.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  7. 7.What is the smallest whole number by which 675 must be multiplied to get a perfect cube?
  8. 8.Which of these is a perfect cube? (a) 2237 (b) 2460 (c) 2197
  9. 9.Which of these is a perfect cube? (a) 1850 (b) 2102 (c) 1728
  10. 10.A big cube of edge 15 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  11. 11.What is 19³? =
  12. 12.A big cube of edge 12 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  13. 13.What is ∛343? =
  14. 14.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  15. 15.What is 13³? =
  16. 16.What is 12³? =
  17. 17.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
  18. 18.Which of these is a perfect cube? (a) 125 (b) 135 (c) 182
  19. 19.What is 6³? =
  20. 20.What is 18³? =
  21. 21.What is ∛512? =
  22. 22.What is the smallest whole number by which 1600 must be divided to get a perfect cube?
  23. 23.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
  24. 24.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  25. 25.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
  26. 26.What is 15³? =
  27. 27.What is ∛5832? =
  28. 28.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
  29. 29.What is ∛4096? =
  30. 30.Which of these is a perfect cube? (a) 42 (b) 27 (c) 34
  31. 31.What is the smallest whole number by which 243 must be divided to get a perfect cube?
  32. 32.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  33. 33.What is the smallest whole number by which 56 must be multiplied to get a perfect cube?
  34. 34.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  35. 35.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  36. 36.What is ∛27? =
  37. 37.What is ∛125? =
  38. 38.What is the smallest whole number by which 5400 must be divided to get a perfect cube?
  39. 39.Which of these is a perfect cube? (a) 483 (b) 351 (c) 343
  40. 40.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?

Answer key

  1. 216
  2. 3375
  3. 2744
  4. 5
  5. 8
  6. 10
  7. 5
  8. 2197
  9. 1728
  10. 125
  11. 6859
  12. 64
  13. 7
  14. 8
  15. 2197
  16. 1728
  17. 11
  18. 125
  19. 216
  20. 5832
  21. 8
  22. 25
  23. 12
  24. 3
  25. 18
  26. 3375
  27. 18
  28. 15
  29. 16
  30. 27
  31. 9
  32. 216
  33. 49
  34. 8
  35. 8
  36. 3
  37. 5
  38. 25
  39. 343
  40. 64

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