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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 270 · 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 big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  2. 2.What is 7³? =
  3. 3.A big cube of edge 6 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  4. 4.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  5. 5.What is the smallest whole number by which 5 must be divided to get a perfect cube?
  6. 6.Which of these is a perfect cube? (a) 460 (b) 343 (c) 456
  7. 7.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  8. 8.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  9. 9.What is ∛2197? =
  10. 10.What is the smallest whole number by which 135 must be multiplied to get a perfect cube?
  11. 11.What is ∛15625? =
  12. 12.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  13. 13.What is 15³? =
  14. 14.Which of these is a perfect cube? (a) 3234 (b) 3230 (c) 2744
  15. 15.What is ∛1000? =
  16. 16.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  17. 17.What is 10³? =
  18. 18.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
  19. 19.Which of these is a perfect cube? (a) 125 (b) 140 (c) 161
  20. 20.Which of these is a perfect cube? (a) 3438 (b) 3797 (c) 3375
  21. 21.What is the smallest whole number by which 1323 must be divided to get a perfect cube?
  22. 22.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  23. 23.What is the smallest whole number by which 250 must be multiplied to get a perfect cube?
  24. 24.What is 11³? =
  25. 25.What is the smallest whole number by which 56 must be divided to get a perfect cube?
  26. 26.What is ∛512? =
  27. 27.What is 2³? =
  28. 28.What is ∛4096? =
  29. 29.What is 16³? =
  30. 30.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  31. 31.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  32. 32.What is the smallest whole number by which 54 must be multiplied to get a perfect cube?
  33. 33.What is 5³? =
  34. 34.What is ∛6859? =
  35. 35.What is 8³? =
  36. 36.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
  37. 37.What is 14³? =
  38. 38.Which of these is a perfect cube? (a) 2460 (b) 2197 (c) 2222
  39. 39.What is ∛27? =
  40. 40.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?

Answer key

  1. 8
  2. 343
  3. 27
  4. 13
  5. 5
  6. 343
  7. 125
  8. 8
  9. 13
  10. 25
  11. 25
  12. 64
  13. 3375
  14. 2744
  15. 10
  16. 3
  17. 1000
  18. 18
  19. 125
  20. 3375
  21. 49
  22. 8
  23. 4
  24. 1331
  25. 7
  26. 8
  27. 8
  28. 16
  29. 4096
  30. 7
  31. 27
  32. 4
  33. 125
  34. 19
  35. 512
  36. 19
  37. 2744
  38. 2197
  39. 3
  40. 16

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