Question

if the side of a cube is an integer,which of the following can be the volume of the cube in cubic units 1330,1624,1728,1864​

Answer 1

Answer:

hey here is your answer

1728 is a correct

Answer 2

Given : side of a cube is an integer,

To find :  which of the following can be the volume of the cube in cubic units

1330,1624,1728,1864​

Solution:

volume of cube = side³

1330 =  2 * 5 * 7 * 19

1624 = 2 * 2 * 2 * 7 * 29

1728 = 2* 2 * 2 * 2 * 2 * 2 * 3 * 3 * 3

1864 = 2 * 2 * 2 * 233

1728 = 2* 2 * 2 * 2 * 2 * 2 * 3 * 3 * 3

=> 1728 = 2³ * 2³ * 3 ³

=> 1728 = (2 * 2  * 3) ³

=> 1728 = (12) ³

Hence 1728 can be volume of the cube in cubic units

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