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What is the difference between a cylinder and a rectangular prism?
A cylinder has a circular cross section, a rectangular prism has a rectangular cross section.
What is the vertical cross section of a cone?
The vertical cross section of a right vertical cone is a triangle if that cross section is taken from the vertex. Any other vertical cross section will reveal a hyperbola (with endpoints on the base of the cone). A link can be found below.
How are rectangular pyramids and rectangular prims alike?
They are similar, however, the distinctiion is that the pyramid has a rectangular base with triangular faces meeting in a vertex (thus forming the pyramid shape), while the prism has a congruent (identical) cross-section, like a loaf of bread. So the prism has two rectangular "ends".
What is the diagonal cross section of a rectangular prism?
rectangle
If you slice a rectangular pyramid perpendicular to the base but NOT through the apex what will be the shape of the cross section?
It will be one of:a triangle if where the cross section cuts the base is through two adjacent sides;an irregular quadrilateral if where the cross section cuts the base is through two opposite sides but not parallel to a side of the base; ora trapezium if where the is the cross section cuts the base is parallel to a side of the base.
What is the horizontal cross section of a rectangular pryamid?
It is a rectangle which is similar to the base.
What is the vertical cross section of a rectangular prism?
It is a rectangle.
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.
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.
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.
What are the vertical and horizontal cross sections of a rectangular pyramid?
The vertical cross sections are trapezia or triangles. The horizontal cross sections are rectangles which are mathematically 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.
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 two dimensional shape could not be the result of taking a cross section of a rectangular pyramid?
A circle.
How Do you make a cross section of a parallelogram from a pyramid?
It depends on the pyramid. If it is a square based pyramid, a horizontal plane will give a square cross section, a plane inclined by a rotation parallel to one of the base axes will give a rectangular cross section whereas a plane inclined by rotation along both basal axes will result in a parallelogram cross section. Not sure how you get a parallelogram from a pentagonal or hexagonal (etc) pyramid.
What is the vertical cross section of square pyramid?
The vertical cross section of a square pyramid is a triangle. When the pyramid is sliced vertically through its apex and down to the base, the resulting shape is a triangular profile that includes the apex at the top and the edges of the base at the bottom. The height of the triangle corresponds to the height of the pyramid, while the base of the triangle spans the width of the base of the pyramid.
