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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 372 · 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 343 cubic cm. How long is each edge (in cm)?
  2. 2.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
  3. 3.Which of these is a perfect cube? (a) 148 (b) 128 (c) 125
  4. 4.What is the smallest whole number by which 128 must be divided to get a perfect cube?
  5. 5.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
  6. 6.What is ∛512? =
  7. 7.What is the smallest whole number by which 320 must be multiplied to get a perfect cube?
  8. 8.What is the smallest whole number by which 72 must be multiplied to get a perfect cube?
  9. 9.What is 13³? =
  10. 10.What is the smallest whole number by which 1944 must be multiplied to get a perfect cube?
  11. 11.What is the smallest whole number by which 192 must be divided to get a perfect cube?
  12. 12.What is the smallest whole number by which 448 must be divided to get a perfect cube?
  13. 13.What is the smallest whole number by which 500 must be multiplied to get a perfect cube?
  14. 14.What is ∛4096? =
  15. 15.What is ∛8? =
  16. 16.What is 7³? =
  17. 17.What is ∛1331? =
  18. 18.Which of these is a perfect cube? (a) 32 (b) 38 (c) 27
  19. 19.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  20. 20.What is ∛2197? =
  21. 21.Which of these is a perfect cube? (a) 1728 (b) 1831 (c) 2107
  22. 22.What is 5³? =
  23. 23.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  24. 24.Which of these is a perfect cube? (a) 3718 (b) 3375 (c) 3547
  25. 25.What is 4³? =
  26. 26.What is the smallest whole number by which 256 must be divided to get a perfect cube?
  27. 27.What is ∛216? =
  28. 28.What is 17³? =
  29. 29.What is 6³? =
  30. 30.Which of these is a perfect cube? (a) 2197 (b) 2613 (c) 2641
  31. 31.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  32. 32.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  33. 33.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  34. 34.What is the smallest whole number by which 375 must be multiplied to get a perfect cube?
  35. 35.Which of these is a perfect cube? (a) 657 (b) 631 (c) 512
  36. 36.What is the smallest whole number by which 625 must be divided to get a perfect cube?
  37. 37.What is ∛12167? =
  38. 38.Which of these is a perfect cube? (a) 758 (b) 729 (c) 912
  39. 39.What is 3³? =
  40. 40.Which of these is a perfect cube? (a) 233 (b) 304 (c) 216

Answer key

  1. 7
  2. 19
  3. 125
  4. 2
  5. 12
  6. 8
  7. 25
  8. 3
  9. 2197
  10. 3
  11. 3
  12. 7
  13. 2
  14. 16
  15. 2
  16. 343
  17. 11
  18. 27
  19. 216
  20. 13
  21. 1728
  22. 125
  23. 6
  24. 3375
  25. 64
  26. 4
  27. 6
  28. 4913
  29. 216
  30. 2197
  31. 27
  32. 8
  33. 4
  34. 9
  35. 512
  36. 5
  37. 23
  38. 729
  39. 27
  40. 216

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