Question

which of the followong is perfect cube (a) 1525 (b) 1728 (c) 1458 (d) 3993. plz solve also this​

Answer 1

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.

Answer 2

(b) 1728 is a perfect cube