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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 570 · 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 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  2. 2.Which of these is a perfect cube? (a) 729 (b) 778 (c) 904
  3. 3.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  4. 4.What is the smallest whole number by which 1125 must be divided to get a perfect cube?
  5. 5.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  6. 6.What is the smallest whole number by which 192 must be divided to get a perfect cube?
  7. 7.Which of these is a perfect cube? (a) 3375 (b) 3896 (c) 3576
  8. 8.What is 9³? =
  9. 9.What is 5³? =
  10. 10.What is ∛512? =
  11. 11.What is the smallest whole number by which 7 must be multiplied to get a perfect cube?
  12. 12.What is ∛4096? =
  13. 13.Which of these is a perfect cube? (a) 2197 (b) 2327 (c) 2316
  14. 14.What is 4³? =
  15. 15.What is 16³? =
  16. 16.What is ∛27? =
  17. 17.Which of these is a perfect cube? (a) 32 (b) 27 (c) 33
  18. 18.What is ∛64? =
  19. 19.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  20. 20.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  21. 21.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?
  22. 22.Which of these is a perfect cube? (a) 1044 (b) 1081 (c) 1000
  23. 23.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  24. 24.What is ∛6859? =
  25. 25.What is the smallest whole number by which 432 must be divided to get a perfect cube?
  26. 26.What is ∛12167? =
  27. 27.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  28. 28.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  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 576 must be divided to get a perfect cube?
  31. 31.What is the smallest whole number by which 648 must be multiplied to get a perfect cube?
  32. 32.What is ∛2197? =
  33. 33.What is ∛15625? =
  34. 34.What is the smallest whole number by which 1944 must be multiplied to get a perfect cube?
  35. 35.What is 18³? =
  36. 36.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  37. 37.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  38. 38.Which of these is a perfect cube? (a) 151 (b) 157 (c) 125
  39. 39.Which of these is a perfect cube? (a) 225 (b) 322 (c) 216
  40. 40.What is 6³? =

Answer key

  1. 64
  2. 729
  3. 8
  4. 9
  5. 10
  6. 3
  7. 3375
  8. 729
  9. 125
  10. 8
  11. 49
  12. 16
  13. 2197
  14. 64
  15. 4096
  16. 3
  17. 27
  18. 4
  19. 27
  20. 7
  21. 9
  22. 1000
  23. 13
  24. 19
  25. 2
  26. 23
  27. 8
  28. 2
  29. 15
  30. 9
  31. 9
  32. 13
  33. 25
  34. 3
  35. 5832
  36. 8
  37. 4
  38. 125
  39. 216
  40. 216

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