Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 972 · 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.Which of these is a perfect cube? (a) 921 (b) 951 (c) 729
2. 2.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
3. 3.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
4. 4.What is 2³? =
5. 5.What is ∛4096? =
6. 6.What is 13³? =
7. 7.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
8. 8.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
9. 9.What is the smallest whole number by which 108 must be divided to get a perfect cube?
10. 10.Which of these is a perfect cube? (a) 3935 (b) 3375 (c) 3805
11. 11.What is 17³? =
12. 12.What is the smallest whole number by which 32 must be divided to get a perfect cube?
13. 13.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
14. 14.What is the smallest whole number by which 432 must be multiplied to get a perfect cube?
15. 15.What is 5³? =
16. 16.Which of these is a perfect cube? (a) 1283 (b) 1047 (c) 1000
17. 17.What is ∛64? =
18. 18.What is 10³? =
19. 19.What is ∛125? =
20. 20.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
21. 21.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?
22. 22.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
23. 23.What is ∛4913? =
24. 24.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
25. 25.What is ∛15625? =
26. 26.What is 12³? =
27. 27.Which of these is a perfect cube? (a) 566 (b) 512 (c) 601
28. 28.Which of these is a perfect cube? (a) 2636 (b) 2430 (c) 2197
29. 29.What is the smallest whole number by which 135 must be multiplied to get a perfect cube?
30. 30.What is 15³? =
31. 31.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
32. 32.Which of these is a perfect cube? (a) 191 (b) 136 (c) 125
33. 33.What is ∛216? =
34. 34.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
35. 35.What is the smallest whole number by which 320 must be divided to get a perfect cube?
36. 36.What is ∛2197? =
37. 37.What is the smallest whole number by which 10584 must be divided to get a perfect cube?
38. 38.What is 8³? =
39. 39.What is ∛12167? =
40. 40.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?

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