Answer the following
1. The cube of 0.3 is ___________
2. The cube root of 729 is __________
3. Check whether 1728 is a perfect cube by using prime factorisation.
4. Using prime factorisation, find the cube root of 5832.
5. Is 9720 a perfect cube? If not, find the smallest number by which it should be divided to get a perfect cube.
6. By what smallest number should 3600 be multiplied so that the quotient is a perfect cube. Also find the cube root of the quotient.
7. If one side of a cube is 15m in length, find its volume.
8. Three numbers are in the ratio 1:2:3 and the sum of their cubes is 4500. Find the numbers.
9. Difference of two perfect cubes is 189. If the cube root of the smaller of the two numbers is 3, find the cube root of the larger number.
10. Evaluate :
a)
b)
1. The cube of 0.3 is ___________
2. The cube root of 729 is __________
3. Check whether 1728 is a perfect cube by using prime factorisation.
4. Using prime factorisation, find the cube root of 5832.
5. Is 9720 a perfect cube? If not, find the smallest number by which it should be divided to get a perfect cube.
6. By what smallest number should 3600 be multiplied so that the quotient is a perfect cube. Also find the cube root of the quotient.
7. If one side of a cube is 15m in length, find its volume.
8. Three numbers are in the ratio 1:2:3 and the sum of their cubes is 4500. Find the numbers.
9. Difference of two perfect cubes is 189. If the cube root of the smaller of the two numbers is 3, find the cube root of the larger number.
10. Evaluate :
a)
b)
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