Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 817 · 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 ∛13824? =
2. 2.What is ∛216? =
3. 3.What is ∛729? =
4. 4.What is 6³? =
5. 5.Which of these is a perfect cube? (a) 27 (b) 33 (c) 47
6. 6.What is 5³? =
7. 7.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
8. 8.What is ∛27? =
9. 9.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
10. 10.What is 7³? =
11. 11.Which of these is a perfect cube? (a) 547 (b) 512 (c) 647
12. 12.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
13. 13.Which of these is a perfect cube? (a) 191 (b) 144 (c) 125
14. 14.Which of these is a perfect cube? (a) 440 (b) 364 (c) 343
15. 15.Which of these is a perfect cube? (a) 729 (b) 898 (c) 916
16. 16.What is 13³? =
17. 17.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
18. 18.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
19. 19.What is 14³? =
20. 20.What is the smallest whole number by which 1080 must be divided to get a perfect cube?
21. 21.Which of these is a perfect cube? (a) 2197 (b) 2453 (c) 2364
22. 22.Which of these is a perfect cube? (a) 3227 (b) 3320 (c) 2744
23. 23.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
24. 24.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
25. 25.What is 12³? =
26. 26.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
27. 27.What is the smallest whole number by which 189 must be divided to get a perfect cube?
28. 28.What is the smallest whole number by which 81 must be multiplied to get a perfect cube?
29. 29.What is the smallest whole number by which 108 must be multiplied to get a perfect cube?
30. 30.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
31. 31.What is 15³? =
32. 32.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
33. 33.What is the smallest whole number by which 1323 must be divided to get a perfect cube?
34. 34.What is 3³? =
35. 35.What is ∛5832? =
36. 36.Which of these is a perfect cube? (a) 1367 (b) 1340 (c) 1331
37. 37.What is 19³? =
38. 38.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
39. 39.What is 9³? =
40. 40.What is the smallest whole number by which 7 must be divided to get a perfect cube?

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