Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 222 · 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 9³? =
2. 2.Which of these is a perfect cube? (a) 3375 (b) 3681 (c) 3520
3. 3.What is 14³? =
4. 4.What is ∛1728? =
5. 5.What is the smallest whole number by which 6125 must be divided to get a perfect cube?
6. 6.What is 11³? =
7. 7.Which of these is a perfect cube? (a) 2852 (b) 2744 (c) 3081
8. 8.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
9. 9.A big cube of edge 12 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
10. 10.What is 3³? =
11. 11.What is ∛729? =
12. 12.Which of these is a perfect cube? (a) 1017 (b) 1234 (c) 1000
13. 13.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
14. 14.Which of these is a perfect cube? (a) 2072 (b) 1843 (c) 1728
15. 15.What is the smallest whole number by which 128 must be multiplied to get a perfect cube?
16. 16.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
17. 17.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
18. 18.What is the smallest whole number by which 625 must be multiplied to get a perfect cube?
19. 19.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?
20. 20.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
21. 21.What is the smallest whole number by which 3136 must be divided to get a perfect cube?
22. 22.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
23. 23.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
24. 24.What is 4³? =
25. 25.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
26. 26.A big cube of edge 18 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
27. 27.What is ∛4913? =
28. 28.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
29. 29.Which of these is a perfect cube? (a) 27 (b) 32 (c) 39
30. 30.Which of these is a perfect cube? (a) 2661 (b) 2319 (c) 2197
31. 31.Which of these is a perfect cube? (a) 199 (b) 152 (c) 125
32. 32.What is ∛512? =
33. 33.What is the smallest whole number by which 2 must be divided to get a perfect cube?
34. 34.What is the smallest whole number by which 1323 must be divided to get a perfect cube?
35. 35.What is the smallest whole number by which 192 must be divided to get a perfect cube?
36. 36.A big cube of edge 15 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
37. 37.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
38. 38.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
39. 39.What is 6³? =
40. 40.What is the smallest whole number by which 256 must be divided to get a perfect cube?

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