If you have a regular pentagonal prism and you slice it parallel to its bases, what shape is the cross-section?
- AHexagon
- BRectangle
- CSquare
- DPentagon
Solution & Step-by-step Explanation
A prism is a three-dimensional solid with two identical parallel bases connected by rectangular lateral faces.
When any prism is sliced by a plane parallel to its bases, the resulting cross-section is always congruent (identical in shape and size) to the base of the prism. Since the given shape is a pentagonal prism, its bases are pentagons. Therefore, a slice parallel to the bases will also yield a pentagon.
When any prism is sliced by a plane parallel to its bases, the resulting cross-section is always congruent (identical in shape and size) to the base of the prism. Since the given shape is a pentagonal prism, its bases are pentagons. Therefore, a slice parallel to the bases will also yield a pentagon.