Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 65 · 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 6³? =
2. 2.What is ∛8? =
3. 3.Which of these is a perfect cube? (a) 2744 (b) 3266 (c) 2817
4. 4.Which of these is a perfect cube? (a) 53 (b) 28 (c) 27
5. 5.What is the smallest whole number by which 81 must be divided to get a perfect cube?
6. 6.What is the smallest whole number by which 1512 must be multiplied to get a perfect cube?
7. 7.What is 3³? =
8. 8.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
9. 9.What is 16³? =
10. 10.What is ∛2744? =
11. 11.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
12. 12.What is ∛4096? =
13. 13.What is 17³? =
14. 14.What is the smallest whole number by which 250 must be multiplied to get a perfect cube?
15. 15.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
16. 16.A big cube of edge 6 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
17. 17.Which of these is a perfect cube? (a) 1000 (b) 1026 (c) 1007
18. 18.What is 14³? =
19. 19.What is 15³? =
20. 20.What is 8³? =
21. 21.What is ∛12167? =
22. 22.What is ∛6859? =
23. 23.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
24. 24.What is ∛27? =
25. 25.What is 7³? =
26. 26.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
27. 27.Which of these is a perfect cube? (a) 377 (b) 343 (c) 409
28. 28.Which of these is a perfect cube? (a) 3375 (b) 3487 (c) 3412
29. 29.What is 5³? =
30. 30.Which of these is a perfect cube? (a) 547 (b) 582 (c) 512
31. 31.What is the smallest whole number by which 3 must be multiplied to get a perfect cube?
32. 32.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
33. 33.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
34. 34.What is the smallest whole number by which 3 must be divided to get a perfect cube?
35. 35.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
36. 36.What is the smallest whole number by which 54 must be multiplied to get a perfect cube?
37. 37.What is 10³? =
38. 38.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
39. 39.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
40. 40.A big cube of edge 15 cm is cut into small cubes of edge 3 cm. How many small cubes are there?

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