All cross-sectional shapes that are parallel to one of the bases of a solid will be congruent to that base shape, maintaining the same dimensions throughout the height of the solid. Conversely, cross-sectional shapes that are perpendicular to the bases can vary in shape and size, depending on the geometry of the solid. These variations can be influenced by the solid's contours or angles, resulting in different cross-sectional profiles at different heights.
No, not all cross-section shapes that are parallel or perpendicular to one of the bases of a solid are necessarily the same. The shape of the cross-section depends on the geometry of the solid. For example, in a cylinder, the cross-sections parallel to the bases are circular, while in a prism, they may be polygonal. Each solid can produce different cross-sectional shapes based on its specific dimensions and angles.
Prisms.
The shape that fits this description is a cylinder. A cylinder has curved surfaces and no flat faces with parallel or perpendicular edges, yet its circular bases are parallel to each other, and the edges around the circumference can be considered to be perpendicular to the axis of the cylinder. Thus, while it lacks traditional faces with parallel or perpendicular edges, it still contains elements that exhibit these characteristics.
A trapezoid has one pair of parallel sides, which are its bases. The other two sides, called the legs, are not parallel and can be either perpendicular or slanted, depending on the specific type of trapezoid. In summary, a trapezoid has one pair of parallel lines and zero perpendicular lines by definition.
It is a prism with non-polygonal bases. The bases simply be two identically shaped "blobby" shapes.
cube
A) Prism. B) Polygon. C) Cube. D) Pyramid.
Yes. Adjacent sides in a cube are perpendicular and planes that are perpendicular to the same plane are parallel.
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Prisms.
How about a cylinder or a cuboid
prism and cylinder
It is a prism with non-polygonal bases. The bases simply be two identically shaped "blobby" shapes.
A cylinder has two parallel congruent faces and a curved surface.
Since a trapezoid is a quadrilateral whose bases are parallel and not congruent, then one of its sides can be perpendicular to its bases (as the shortest distance between two parallel lines). Such a trapezoid is called a right trapezoid.
Atrapezoidor trapezium is a quadrilateral with two parallel sides. These two sides are called the bases. Find the average of the lengths of the bases andmultiplyby the perpendicular distance between the parallel sides (the height).bases have lengths a and b, height is h: A = h(a+b)/2
Prisms are classified according to the shape of the two congruent and parallel plane shapes which form its bases.