Short Answer TypeIs 1372 a perfect cube? If not, find the smallest natural number by which 1372 must be multipled so that the product is a perfect cube.
We hve 31944 = 2 x 2 x 2 x 3 x 11 x 11 x 11
Since, the prime factors of 31944 do not appear in triples as 3 is left over.
∴ 31944 is not a perfect cube, Obviously, 31944 
will be a perfect cube
i.e. [31944] 
3 = [2 x 2 x 2 x 3 x 11 x 11 x 11]
3
or 10648 = 2 x 2 x 2 x 11 x 11 x 11
∴ 10648 is a perfect cube.
Thus, the required least number = 3.
Find the one’s digit of the cube of each of the following numbers.
(i) 3331 (ii) 8888 (iii) 149 (iv) 1005
(v) 1024 (vi) 77 (vii) 5022 (viii) 53
Consider the following pattern:
(a) 63 (b) 83 (c) 73
Long Answer TypeWhich of the following are perfect cubes?
1. 400 2. 3375 3. 8000 4. 15625
5. 9000 6. 6859 7. 2025 8. 10648
Check which of the following are perfect cubes.
(i) 2700 (ii) 16000 (iii) 64000 (iv) 900
(v) 125000 (vi) 36000 (vii) 21600 (viii) 10000
(ix) 27000000 (x) 1000
What pattern do you observe in these perfect cubes?
Short Answer TypeWhich of the following numbers are not perfect cubes? (i) 216 (ii) 128 (iii) 1000 (iv) 100 (v) 46656
Long Answer TypeFind the smallest number by which each of the following numbers must be multiplied to obtain a perfect cube. (i) 243 (ii) 256 (iii) 72 (iv) 675 (v) 100
Short Answer Type
Switch
