Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 401 · 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 11³? =
2. 2.What is ∛343? =
3. 3.What is ∛27? =
4. 4.What is ∛10648? =
5. 5.Which of these is a perfect cube? (a) 64 (b) 109 (c) 112
6. 6.What is 7³? =
7. 7.What is 18³? =
8. 8.What is 9³? =
9. 9.What is 20³? =
10. 10.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
11. 11.What is the smallest whole number by which 675 must be multiplied to get a perfect cube?
12. 12.What is ∛6859? =
13. 13.What is ∛2197? =
14. 14.A big cube of edge 12 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
15. 15.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
16. 16.Which of these is a perfect cube? (a) 2033 (b) 1974 (c) 1728
17. 17.What is the smallest whole number by which 250 must be multiplied to get a perfect cube?
18. 18.What is 12³? =
19. 19.What is ∛8? =
20. 20.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
21. 21.What is the smallest whole number by which 3 must be divided to get a perfect cube?
22. 22.What is the smallest whole number by which 135 must be multiplied to get a perfect cube?
23. 23.What is 19³? =
24. 24.Which of these is a perfect cube? (a) 3375 (b) 3581 (c) 3394
25. 25.Which of these is a perfect cube? (a) 282 (b) 224 (c) 216
26. 26.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
27. 27.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
28. 28.What is ∛216? =
29. 29.What is ∛3375? =
30. 30.What is 6³? =
31. 31.What is 13³? =
32. 32.What is 17³? =
33. 33.Which of these is a perfect cube? (a) 441 (b) 380 (c) 343
34. 34.What is the smallest whole number by which 648 must be multiplied to get a perfect cube?
35. 35.What is 2³? =
36. 36.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
37. 37.What is the smallest whole number by which 192 must be divided to get a perfect cube?
38. 38.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
39. 39.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
40. 40.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?

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