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Heptagonal prism horizontal cross section

Circle
Triangle
Rectangle
Heptagon

User Cord
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1 Answer

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Answer:

we can observe various shapes depending on the orientation of the cross-section.

1. Circle: If the horizontal cross-section passes through the center of the heptagonal base, the resulting shape will be a circle. This occurs when the cross-section is parallel to the base of the prism.

2. Triangle: If the horizontal cross-section passes through the heptagonal base but is not parallel to it, the resulting shape will be a triangle. The triangle will have one side formed by the heptagon's edge and the other two sides formed by the rectangular sides connecting the heptagon's vertices.

3. Rectangle: If the horizontal cross-section passes through one of the rectangular sides of the prism, the resulting shape will be a rectangle. The rectangle's length will be determined by the length of the side it intersects, and its width will be determined by the distance between the two parallel sides of the prism.

4. Heptagon: If the horizontal cross-section passes through one of the vertices of the heptagon, the resulting shape will be a heptagon. The heptagon's size and shape will be determined by the location of the cross-section relative to the prism.

User Steve Mitcham
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