Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 756 · 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 19³? =
2. 2.What is 10³? =
3. 3.What is ∛512? =
4. 4.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
5. 5.Which of these is a perfect cube? (a) 512 (b) 649 (c) 522
6. 6.Which of these is a perfect cube? (a) 352 (b) 484 (c) 343
7. 7.What is ∛2744? =
8. 8.What is 4³? =
9. 9.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
10. 10.What is ∛13824? =
11. 11.What is 9³? =
12. 12.What is ∛343? =
13. 13.What is the smallest whole number by which 3 must be divided to get a perfect cube?
14. 14.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
15. 15.What is 16³? =
16. 16.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
17. 17.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
18. 18.What is 20³? =
19. 19.What is ∛5832? =
20. 20.What is ∛8? =
21. 21.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
22. 22.What is the smallest whole number by which 864 must be multiplied to get a perfect cube?
23. 23.What is the smallest whole number by which 3136 must be multiplied to get a perfect cube?
24. 24.Which of these is a perfect cube? (a) 3034 (b) 2744 (c) 2936
25. 25.What is ∛1728? =
26. 26.What is ∛4913? =
27. 27.What is 7³? =
28. 28.What is 14³? =
29. 29.Which of these is a perfect cube? (a) 47 (b) 27 (c) 30
30. 30.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
31. 31.Which of these is a perfect cube? (a) 66 (b) 64 (c) 94
32. 32.What is the smallest whole number by which 56 must be multiplied to get a perfect cube?
33. 33.What is ∛216? =
34. 34.Which of these is a perfect cube? (a) 185 (b) 125 (c) 166
35. 35.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
36. 36.What is the smallest whole number by which 32 must be multiplied to get a perfect cube?
37. 37.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
38. 38.What is ∛64? =
39. 39.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
40. 40.What is the smallest whole number by which 648 must be divided to get a perfect cube?

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