All vertical and horizontal cross sections of any one cube are all the same size and shape. What about vertical and horizontal cross sections of a pyramid? Are they all the same size? Are they all the same shape? Discuss why or why not.
No, vertical and horizontal cross sections of a pyramid are not all the same size and shape. This is because a pyramid has a triangular base, which means that the cross sections will vary in size and shape depending on the angle of the pyramid. For example, a pyramid with a steep angle will have smaller cross sections than a pyramid with a shallow angle. Additionally, the cross sections of a pyramid will not be the same shape as a cube, since a cube has square cross sections and a pyramid has triangular cross sections.
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