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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 981 · 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 64 cubic cm. How long is each edge (in cm)?
  2. 2.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  3. 3.What is 6³? =
  4. 4.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
  5. 5.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  6. 6.What is 11³? =
  7. 7.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  8. 8.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  9. 9.Which of these is a perfect cube? (a) 4050 (b) 3375 (c) 3848
  10. 10.What is ∛8? =
  11. 11.What is ∛512? =
  12. 12.Which of these is a perfect cube? (a) 2005 (b) 1916 (c) 1728
  13. 13.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  14. 14.Which of these is a perfect cube? (a) 1360 (b) 1331 (c) 1482
  15. 15.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  16. 16.Which of these is a perfect cube? (a) 343 (b) 404 (c) 396
  17. 17.What is the smallest whole number by which 625 must be divided to get a perfect cube?
  18. 18.What is the smallest whole number by which 1944 must be multiplied to get a perfect cube?
  19. 19.What is the smallest whole number by which 375 must be multiplied to get a perfect cube?
  20. 20.Which of these is a perfect cube? (a) 1143 (b) 1000 (c) 1109
  21. 21.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  22. 22.What is ∛216? =
  23. 23.What is 7³? =
  24. 24.Which of these is a perfect cube? (a) 2237 (b) 2322 (c) 2197
  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.What is 9³? =
  27. 27.Which of these is a perfect cube? (a) 250 (b) 216 (c) 277
  28. 28.What is 5³? =
  29. 29.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
  30. 30.What is the smallest whole number by which 32 must be divided to get a perfect cube?
  31. 31.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?
  32. 32.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  33. 33.What is ∛3375? =
  34. 34.What is 18³? =
  35. 35.What is the smallest whole number by which 1125 must be divided to get a perfect cube?
  36. 36.What is ∛4913? =
  37. 37.What is 3³? =
  38. 38.What is 10³? =
  39. 39.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  40. 40.What is the smallest whole number by which 675 must be multiplied to get a perfect cube?

Answer key

  1. 4
  2. 7
  3. 216
  4. 16
  5. 13
  6. 1331
  7. 8
  8. 27
  9. 3375
  10. 2
  11. 8
  12. 1728
  13. 8
  14. 1331
  15. 8
  16. 343
  17. 5
  18. 3
  19. 9
  20. 1000
  21. 6
  22. 6
  23. 343
  24. 2197
  25. 216
  26. 729
  27. 216
  28. 125
  29. 15
  30. 4
  31. 9
  32. 216
  33. 15
  34. 5832
  35. 9
  36. 17
  37. 27
  38. 1000
  39. 5
  40. 5

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