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What shape is created by a cross section of a rectangular pyramid through its vertex cut perpendicular to its base?
A cross section of a rectangular pyramid through its vertex and perpendicular to its base creates a triangular shape. This triangle's base corresponds to one of the edges of the rectangular base, while its apex is at the vertex of the pyramid. The height of the triangle is determined by the vertical distance from the vertex to the base.
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What shape is created by a cross section of a rectangular pyramid?
It is a rectangle which is similar to (but smaller than) the rectangular base.
What is the perpendicular cross section of a rectangular prism?
It is a rectangle.
What is the horizontal cross section of a rectangular pryamid?
It is a rectangle which is similar to the base.
Is a trapezoid a cross section for a rectangular pyramid?
Yes, a trapezoid can be a cross section of a rectangular pyramid. When a plane intersects the pyramid parallel to one of its bases, the resulting cross section will be a trapezoid if the plane cuts through the sides of the pyramid. The top base of the trapezoid will be shorter than the bottom base due to the tapering shape of the pyramid.
Can a triangular prism have a rectangular base or does this mean it is in fact a pyramid?
A prism can have a triangular cross-section with a rectangular base
What shape is created by a cross section of a rectangular pyramid?
It is a rectangle which is similar to (but smaller than) the rectangular base.
Which two-dimensional figure could be a cross section of a rectangular pyramid that has been intersected by a plane perpendicular to its base and not through its vertex?
trapezoid
What is the perpendicular cross section of a rectangular prism?
It is a rectangle.
What is the vertical cross section of a rectangular pyramid?
triangle
What is the horizontal cross section of a rectangular pryamid?
It is a rectangle which is similar to the base.
What is the difference between a triangular prism and rectangular pyramid?
A triangular prism has a uniformed cross-section whereas a rectangular pyramid does not.
Is a trapezoid a cross section for a rectangular pyramid?
Yes, a trapezoid can be a cross section of a rectangular pyramid. When a plane intersects the pyramid parallel to one of its bases, the resulting cross section will be a trapezoid if the plane cuts through the sides of the pyramid. The top base of the trapezoid will be shorter than the bottom base due to the tapering shape of the pyramid.
Tell one way a rectangular prism and a pyramid are different?
A rectangular prism has the same cross section throughout its length, a pyramid doesn't however
Can a triangular prism have a rectangular base or does this mean it is in fact a pyramid?
A prism can have a triangular cross-section with a rectangular base
What is a cross section of a cone?
Circle: If the knife is perpendicular to the axis of the cone.Ellipse: If the knife is between (perpendicular to the axis of the cone) and (parallel to the side of the cone).Parabola: If the knife is between (parallel to the side of the cone) and (parallel to the axis of the cone).Hyperbola: If the knife is parallel to the axis of the cone.Triangle: If the knife is perpendicular to the base of the cone.Point: If the knife is parallel to the base the cone and through the apex
What two dimensional shape could not be the result of taking a cross section of a rectangular pyramid?
A circle.
What cross section results if you cut a pyramid perpendicular to its base?
If you cut a pyramid perpendicular to its base, the resulting cross-section will be a polygon that is similar to the base of the pyramid. The specific shape of the cross-section will depend on the height at which the pyramid is cut; as you move higher up, the cross-section will gradually decrease in size while maintaining the same proportions as the base. If the cut is made at the very top, the cross-section will be a single point, while cuts at varying heights will yield progressively smaller similar polygons.
