Question

The shape of a cross-section of a cube depends on the orientation of the slicing plane. What is the cross-section of a cube, if the slice is made parallel to one of the faces?

Answer 1

The cross-section of a cube, if the slice is made parallel to one of the faces, would be a square congruent to the face of the cube.

Answer 2

The cross-section of the cube that is obtained by slicing a cube parallel to one of it's face is:

Square

Explanation:

We know that the faces of a cube are made up of squares.

As, the cube has 6 faces each made up of squares.

so, when is slicing is done parallel to any of the faces of a cube then we will obtain the slice similar to the shape of the face of the cube.

i.e. the cross-section of the slice so formed is:

Square.

Also, the slicing could be seen with the help of a figure.