Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 719 · 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 12³? =
2. 2.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
3. 3.What is 11³? =
4. 4.What is ∛9261? =
5. 5.What is 10³? =
6. 6.What is 4³? =
7. 7.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
8. 8.Which of these is a perfect cube? (a) 2744 (b) 3028 (c) 2833
9. 9.What is ∛13824? =
10. 10.What is the smallest whole number by which 72 must be divided to get a perfect cube?
11. 11.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
12. 12.Which of these is a perfect cube? (a) 155 (b) 192 (c) 125
13. 13.Which of these is a perfect cube? (a) 744 (b) 874 (c) 729
14. 14.What is the smallest whole number by which 875 must be multiplied to get a perfect cube?
15. 15.What is ∛512? =
16. 16.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
17. 17.What is the smallest whole number by which 1600 must be divided to get a perfect cube?
18. 18.Which of these is a perfect cube? (a) 397 (b) 357 (c) 343
19. 19.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
20. 20.What is 5³? =
21. 21.What is the smallest whole number by which 56 must be multiplied to get a perfect cube?
22. 22.What is ∛729? =
23. 23.What is ∛125? =
24. 24.What is the smallest whole number by which 864 must be multiplied to get a perfect cube?
25. 25.A big cube of edge 18 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
26. 26.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?
27. 27.What is ∛12167? =
28. 28.What is the smallest whole number by which 189 must be divided to get a perfect cube?
29. 29.What is ∛4913? =
30. 30.What is 9³? =
31. 31.What is 17³? =
32. 32.Which of these is a perfect cube? (a) 251 (b) 287 (c) 216
33. 33.What is 6³? =
34. 34.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
35. 35.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
36. 36.What is 2³? =
37. 37.What is the smallest whole number by which 7 must be divided to get a perfect cube?
38. 38.What is ∛6859? =
39. 39.What is the smallest whole number by which 320 must be multiplied to get a perfect cube?
40. 40.What is the smallest whole number by which 375 must be multiplied to get a perfect cube?

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