Sixty four cubes of sides 2 cm each are combined to form a cube of side 8 cm If four of the smaller ...........

Quantitative Aptitude( Paper-I ) Mensuration 3D

Sixty-four cubes of sides 2 cm each are combined to form a cube of side 8 cm. If four of the smaller cubes along the diagonal of a surface are removed from the surface of the large cube, which one of the following statements about the surface area of this solid object is true ?

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CAPF 2023 Paper-1

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It is equal to the surface area of the large cube.

It is less than the surface area of the large cube.

It is more than the surface area of large cube.

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Explanation:

It is equal to the surface area of the large cube.

Since, there are 3 faces which are visible in a diagonal cube.
When the cube of a diagonal is removed then the 3 faces of other cubes will be visible from outside.
So, there will not be any change in the surface area of this solid figure.