← Cubes and cube roots lesson New set →

Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 538 · 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 20³? =
  2. 2.What is 6³? =
  3. 3.What is the smallest whole number by which 1944 must be multiplied to get a perfect cube?
  4. 4.What is ∛8000? =
  5. 5.What is ∛13824? =
  6. 6.Which of these is a perfect cube? (a) 1533 (b) 1331 (c) 1633
  7. 7.What is 3³? =
  8. 8.Which of these is a perfect cube? (a) 609 (b) 532 (c) 512
  9. 9.Which of these is a perfect cube? (a) 2240 (b) 2197 (c) 2444
  10. 10.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  11. 11.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
  12. 12.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
  13. 13.What is the smallest whole number by which 192 must be divided to get a perfect cube?
  14. 14.A big cube of edge 18 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  15. 15.What is 5³? =
  16. 16.What is ∛12167? =
  17. 17.A big cube of edge 20 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  18. 18.Which of these is a perfect cube? (a) 956 (b) 729 (c) 799
  19. 19.What is the smallest whole number by which 392 must be divided to get a perfect cube?
  20. 20.What is the smallest whole number by which 1125 must be divided to get a perfect cube?
  21. 21.What is ∛1000? =
  22. 22.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  23. 23.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
  24. 24.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  25. 25.What is the smallest whole number by which 7 must be divided to get a perfect cube?
  26. 26.What is ∛27? =
  27. 27.Which of these is a perfect cube? (a) 1008 (b) 1000 (c) 1188
  28. 28.What is 8³? =
  29. 29.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  30. 30.What is the smallest whole number by which 243 must be divided to get a perfect cube?
  31. 31.What is ∛2744? =
  32. 32.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  33. 33.What is 2³? =
  34. 34.Which of these is a perfect cube? (a) 343 (b) 366 (c) 351
  35. 35.What is 10³? =
  36. 36.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  37. 37.What is 17³? =
  38. 38.What is the smallest whole number by which 189 must be divided to get a perfect cube?
  39. 39.Which of these is a perfect cube? (a) 3375 (b) 3384 (c) 3978
  40. 40.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?

Answer key

  1. 8000
  2. 216
  3. 3
  4. 20
  5. 24
  6. 1331
  7. 27
  8. 512
  9. 2197
  10. 125
  11. 12
  12. 15
  13. 3
  14. 216
  15. 125
  16. 23
  17. 125
  18. 729
  19. 49
  20. 9
  21. 10
  22. 216
  23. 14
  24. 64
  25. 7
  26. 3
  27. 1000
  28. 512
  29. 64
  30. 9
  31. 14
  32. 216
  33. 8
  34. 343
  35. 1000
  36. 10
  37. 4913
  38. 7
  39. 3375
  40. 19

Free maths worksheets lessons, practice and worksheets at talentjr.in/maths-worksheets