A cube is sliced as shown. ![](http://admin.getprephub.com/media/editor/d7_20230225223658882343.png) What is the shape of the cross section?

All the sides of a cube are equal(Let a unit ). Diagonal $$=\sqrt{a^{2}+a^{2}}=a \sqrt{2}$$ unit The height of the cross section $$=$$ diagonal of the cube $$=a \sqrt{2}$$ unit The width of the cross section= a unit Therefore, the cross section is a rectangle.