Why can there be two vertical cross sections for a right rectangular prism and only one horizontal cross section?

The horizontal cross section is parallel to the base. It is always a single, constant sized, rectangle. The vertical one is not restricted to be parallel to any face. So, its size will vary as the prism is rotated. It could vary between a size, the other one or the diagonal (largest), however the height remains constant.

Answered by Anonymous | 2024-06-10

There is one horizontal cross section for a right rectangular prism that always results in a rectangle with constant dimensions. In contrast, there are two possible vertical cross sections that can vary in size based on how you cut through the prism. This is because vertical cuts can be oriented in different directions, producing different rectangular shapes.
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Answered by Anonymous | 2024-10-02