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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 288 · 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 2744 cubic cm. How long is each edge (in cm)?
  2. 2.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
  3. 3.What is 15³? =
  4. 4.What is the smallest whole number by which 392 must be divided to get a perfect cube?
  5. 5.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
  6. 6.What is 9³? =
  7. 7.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  8. 8.What is 19³? =
  9. 9.Which of these is a perfect cube? (a) 3375 (b) 3927 (c) 3695
  10. 10.Which of these is a perfect cube? (a) 1728 (b) 1921 (c) 1827
  11. 11.What is the smallest whole number by which 3125 must be divided to get a perfect cube?
  12. 12.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  13. 13.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  14. 14.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  15. 15.Which of these is a perfect cube? (a) 65 (b) 64 (c) 108
  16. 16.Which of these is a perfect cube? (a) 54 (b) 27 (c) 34
  17. 17.What is ∛8000? =
  18. 18.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
  19. 19.What is ∛5832? =
  20. 20.What is ∛216? =
  21. 21.What is ∛6859? =
  22. 22.What is ∛2744? =
  23. 23.What is 5³? =
  24. 24.What is the smallest whole number by which 875 must be divided to get a perfect cube?
  25. 25.Which of these is a perfect cube? (a) 2197 (b) 2463 (c) 2231
  26. 26.What is 3³? =
  27. 27.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  28. 28.What is ∛15625? =
  29. 29.What is 6³? =
  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 32 must be multiplied to get a perfect cube?
  32. 32.Which of these is a perfect cube? (a) 310 (b) 260 (c) 216
  33. 33.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  34. 34.Which of these is a perfect cube? (a) 2744 (b) 2819 (c) 3134
  35. 35.What is 17³? =
  36. 36.What is the smallest whole number by which 500 must be divided to get a perfect cube?
  37. 37.What is the smallest whole number by which 4 must be divided to get a perfect cube?
  38. 38.A big cube of edge 12 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  39. 39.What is the smallest whole number by which 448 must be divided to get a perfect cube?
  40. 40.What is the smallest whole number by which 320 must be multiplied to get a perfect cube?

Answer key

  1. 14
  2. 12
  3. 3375
  4. 49
  5. 19
  6. 729
  7. 3
  8. 6859
  9. 3375
  10. 1728
  11. 25
  12. 6
  13. 10
  14. 2
  15. 64
  16. 27
  17. 20
  18. 15
  19. 18
  20. 6
  21. 19
  22. 14
  23. 125
  24. 7
  25. 2197
  26. 27
  27. 8
  28. 25
  29. 216
  30. 9
  31. 2
  32. 216
  33. 125
  34. 2744
  35. 4913
  36. 4
  37. 4
  38. 64
  39. 7
  40. 25

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