Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 896 · 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 ∛2744? =
2. 2.What is ∛10648? =
3. 3.Which of these is a perfect cube? (a) 216 (b) 243 (c) 304
4. 4.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
5. 5.What is 19³? =
6. 6.What is ∛9261? =
7. 7.What is 8³? =
8. 8.What is 16³? =
9. 9.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
10. 10.What is ∛12167? =
11. 11.Which of these is a perfect cube? (a) 1231 (b) 1000 (c) 1072
12. 12.What is 9³? =
13. 13.What is ∛8000? =
14. 14.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
15. 15.What is 12³? =
16. 16.What is 14³? =
17. 17.What is 6³? =
18. 18.What is 2³? =
19. 19.What is ∛13824? =
20. 20.What is the smallest whole number by which 320 must be divided to get a perfect cube?
21. 21.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
22. 22.What is ∛729? =
23. 23.What is 7³? =
24. 24.What is the smallest whole number by which 24 must be multiplied to get a perfect cube?
25. 25.Which of these is a perfect cube? (a) 46 (b) 31 (c) 27
26. 26.What is the smallest whole number by which 192 must be multiplied to get a perfect cube?
27. 27.What is the smallest whole number by which 576 must be multiplied to get a perfect cube?
28. 28.Which of these is a perfect cube? (a) 1530 (b) 1331 (c) 1657
29. 29.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
30. 30.A big cube of edge 12 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
31. 31.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
32. 32.What is 3³? =
33. 33.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
34. 34.Which of these is a perfect cube? (a) 1728 (b) 1729 (c) 1883
35. 35.What is ∛216? =
36. 36.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
37. 37.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?
38. 38.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
39. 39.What is the smallest whole number by which 3 must be multiplied to get a perfect cube?
40. 40.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?

Free maths worksheets lessons, practice and worksheets at talentjr.in/maths-worksheets