Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 614 · 40 sums

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.

1. 1.What is ∛10648? =
2. 2.What is 8³? =
3. 3.What is 7³? =
4. 4.What is the smallest whole number by which 648 must be multiplied to get a perfect cube?
5. 5.Which of these is a perfect cube? (a) 512 (b) 694 (c) 651
6. 6.Which of these is a perfect cube? (a) 271 (b) 269 (c) 216
7. 7.What is ∛512? =
8. 8.Which of these is a perfect cube? (a) 1748 (b) 1777 (c) 1728
9. 9.What is the smallest whole number by which 3136 must be divided to get a perfect cube?
10. 10.What is 20³? =
11. 11.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
12. 12.What is 12³? =
13. 13.What is ∛3375? =
14. 14.Which of these is a perfect cube? (a) 3705 (b) 3375 (c) 3990
15. 15.Which of these is a perfect cube? (a) 85 (b) 64 (c) 65
16. 16.What is ∛729? =
17. 17.What is 18³? =
18. 18.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?
19. 19.What is the smallest whole number by which 6125 must be divided to get a perfect cube?
20. 20.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
21. 21.Which of these is a perfect cube? (a) 830 (b) 729 (c) 923
22. 22.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
23. 23.What is ∛1728? =
24. 24.What is the smallest whole number by which 81 must be multiplied to get a perfect cube?
25. 25.What is ∛4913? =
26. 26.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
27. 27.What is the smallest whole number by which 32 must be multiplied to get a perfect cube?
28. 28.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
29. 29.Which of these is a perfect cube? (a) 1331 (b) 1633 (c) 1544
30. 30.What is 2³? =
31. 31.What is 5³? =
32. 32.What is 14³? =
33. 33.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
34. 34.What is ∛4096? =
35. 35.What is the smallest whole number by which 5400 must be multiplied to get a perfect cube?
36. 36.What is the smallest whole number by which 500 must be multiplied to get a perfect cube?
37. 37.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
38. 38.What is the smallest whole number by which 10584 must be divided to get a perfect cube?
39. 39.What is 19³? =
40. 40.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?

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