Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 457 · 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 ∛3375? =
2. 2.What is the smallest whole number by which 16 must be multiplied to get a perfect cube?
3. 3.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
4. 4.What is ∛2744? =
5. 5.What is the smallest whole number by which 1080 must be multiplied to get a perfect cube?
6. 6.What is 8³? =
7. 7.What is 11³? =
8. 8.Which of these is a perfect cube? (a) 125 (b) 193 (c) 187
9. 9.Which of these is a perfect cube? (a) 1299 (b) 1000 (c) 1278
10. 10.Which of these is a perfect cube? (a) 273 (b) 216 (c) 246
11. 11.What is ∛343? =
12. 12.What is 2³? =
13. 13.Which of these is a perfect cube? (a) 2160 (b) 1728 (c) 2122
14. 14.What is ∛27? =
15. 15.What is 6³? =
16. 16.What is the smallest whole number by which 2 must be divided to get a perfect cube?
17. 17.Which of these is a perfect cube? (a) 793 (b) 893 (c) 729
18. 18.What is 20³? =
19. 19.What is ∛1000? =
20. 20.What is 5³? =
21. 21.What is 7³? =
22. 22.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
23. 23.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
24. 24.Which of these is a perfect cube? (a) 43 (b) 41 (c) 27
25. 25.What is ∛216? =
26. 26.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
27. 27.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
28. 28.What is ∛512? =
29. 29.What is 18³? =
30. 30.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?
31. 31.A big cube of edge 6 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
32. 32.What is 13³? =
33. 33.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
34. 34.What is 9³? =
35. 35.Which of these is a perfect cube? (a) 111 (b) 67 (c) 64
36. 36.What is the smallest whole number by which 189 must be multiplied to get a perfect cube?
37. 37.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
38. 38.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
39. 39.What is ∛4913? =
40. 40.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?

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