Is it possible to have a circular cross section in the right rectangular prism shown? Explain.
thank you
To determine if it is possible to have a circular cross section in a right rectangular prism, we need to consider the shape of the prism. A right rectangular prism has six rectangular faces and 90-degree angles between adjacent faces.
The term "circular cross section" refers to a cross section that has the shape of a circle. In other words, if we were to cut the prism along a certain plane, the resulting cross section would be a circle.
Since a right rectangular prism has only rectangular faces, it does not have any circular faces. Therefore, it is not possible to have a circular cross section in a right rectangular prism.
To verify this, you can visualize cutting the prism along different planes. Regardless of the orientation of the cut, the resulting cross section will always be a rectangle, never a circle.