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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 393 · 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 11³? =
  2. 2.Which of these is a perfect cube? (a) 750 (b) 729 (c) 944
  3. 3.What is 9³? =
  4. 4.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
  5. 5.Which of these is a perfect cube? (a) 2615 (b) 2197 (c) 2258
  6. 6.A big cube of edge 20 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  7. 7.What is the smallest whole number by which 200 must be multiplied to get a perfect cube?
  8. 8.What is 3³? =
  9. 9.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  10. 10.What is ∛64? =
  11. 11.Which of these is a perfect cube? (a) 2744 (b) 2876 (c) 2875
  12. 12.What is ∛27? =
  13. 13.What is the smallest whole number by which 5 must be divided to get a perfect cube?
  14. 14.What is ∛4096? =
  15. 15.What is the smallest whole number by which 392 must be divided to get a perfect cube?
  16. 16.What is the smallest whole number by which 243 must be divided to get a perfect cube?
  17. 17.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  18. 18.What is 8³? =
  19. 19.A big cube of edge 12 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  20. 20.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  21. 21.What is 4³? =
  22. 22.Which of these is a perfect cube? (a) 1728 (b) 1842 (c) 2152
  23. 23.What is the smallest whole number by which 7 must be divided to get a perfect cube?
  24. 24.Which of these is a perfect cube? (a) 64 (b) 70 (c) 111
  25. 25.What is the smallest whole number by which 25 must be multiplied to get a perfect cube?
  26. 26.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
  27. 27.What is 6³? =
  28. 28.What is ∛13824? =
  29. 29.What is ∛15625? =
  30. 30.What is 16³? =
  31. 31.What is the smallest whole number by which 56 must be divided to get a perfect cube?
  32. 32.What is 13³? =
  33. 33.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  34. 34.Which of these is a perfect cube? (a) 565 (b) 589 (c) 512
  35. 35.What is ∛8000? =
  36. 36.What is 2³? =
  37. 37.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  38. 38.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?
  39. 39.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  40. 40.What is 5³? =

Answer key

  1. 1331
  2. 729
  3. 729
  4. 20
  5. 2197
  6. 125
  7. 5
  8. 27
  9. 27
  10. 4
  11. 2744
  12. 3
  13. 5
  14. 16
  15. 49
  16. 9
  17. 64
  18. 512
  19. 64
  20. 5
  21. 64
  22. 1728
  23. 7
  24. 64
  25. 5
  26. 11
  27. 216
  28. 24
  29. 25
  30. 4096
  31. 7
  32. 2197
  33. 125
  34. 512
  35. 20
  36. 8
  37. 13
  38. 9
  39. 216
  40. 125

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