which of the followong is perfect cube (a) 1525 (b) 1728 (c) 1458 (d) 3993. plz solve also this
Answers
Answered by
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Given: The numbers: (a) 1525 (b) 1728 (c) 1458 (d) 3993
To find: Which one is the perfect cube?
Solution:
- Now we have given:
(a) 1525 (b) 1728 (c) 1458 (d) 3993
Factoring all, we get:
(a) 1525 = 5 x 5 x 61
Not a cube
(b) 1728 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 = 2 x 3 x 2 = 12
Yes it is a cube of 12
(c) 1458 = 3 x 3 x 3 x 3 x 3 x 3 x 2
Not a cube
(d) 3993 = 11 x 11 x 11 x 3
Not a cube
Answer:
So the cube is 1728 and the number is 12.
Answered by
2
(b) 1728 is a perfect cube
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