Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 396 · 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 2³? =
2. 2.What is the smallest whole number by which 4 must be multiplied to get a perfect cube?
3. 3.What is ∛4913? =
4. 4.What is 17³? =
5. 5.What is the smallest whole number by which 200 must be multiplied to get a perfect cube?
6. 6.What is ∛2197? =
7. 7.What is ∛64? =
8. 8.Which of these is a perfect cube? (a) 2269 (b) 2197 (c) 2523
9. 9.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
10. 10.What is ∛4096? =
11. 11.What is 4³? =
12. 12.Which of these is a perfect cube? (a) 953 (b) 729 (c) 916
13. 13.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
14. 14.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
15. 15.What is 18³? =
16. 16.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
17. 17.What is ∛13824? =
18. 18.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
19. 19.What is 7³? =
20. 20.What is ∛12167? =
21. 21.Which of these is a perfect cube? (a) 37 (b) 50 (c) 27
22. 22.What is ∛1728? =
23. 23.What is 10³? =
24. 24.Which of these is a perfect cube? (a) 664 (b) 512 (c) 672
25. 25.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
26. 26.What is the smallest whole number by which 5400 must be divided to get a perfect cube?
27. 27.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
28. 28.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
29. 29.What is the smallest whole number by which 54 must be divided to get a perfect cube?
30. 30.What is ∛343? =
31. 31.What is 5³? =
32. 32.What is the smallest whole number by which 256 must be divided to get a perfect cube?
33. 33.What is the smallest whole number by which 1512 must be multiplied to get a perfect cube?
34. 34.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
35. 35.What is 3³? =
36. 36.What is the smallest whole number by which 54 must be multiplied to get a perfect cube?
37. 37.What is ∛15625? =
38. 38.A big cube of edge 15 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
39. 39.Which of these is a perfect cube? (a) 410 (b) 453 (c) 343
40. 40.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?

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