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# Why does the horizontal cross section of a pyramid form the shape of a square?

Updated: 12/7/2022

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Q: Why does the horizontal cross section of a pyramid form the shape of a square?
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a square

### What is the horizontal cross section of a rectangular pryamid?

The horizontal cross section of a rectangular pyramid is a rectangle.

### 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 name of a 2d square based pyramid?

A 2D representation of a square-based pyramid is called a square pyramid net or a square pyramid template.

### What 3d shape has the same cross section as a square?

The following are some shapes having a square cross section: a cube, a cuboid, a square pyramid.

### What is the shape of the cross section in a square based pyramid?

It can be a square, a trapezium, a quadrilateral or a triangle - depending on the inclination of the plane which defines the cross section.

### What would the cross section of a square pyramid be?

Depending on the inclination of the plane used for the cross-section, it could be a square, rectangle, trapezium, triangle.

square pyramid

### What is the difference between prism and prymed?

I assume you mean between prism and pyramid. I suggest you look at some picture of prisms and pyramids, to get it perfectly clear. In any case, a prism has the same horizontal cross section from the bottom the top. On the other hand, the lines of a pyramid get together towards the top, to a point. If you take a horizontal cross section, at the base it will be larger, but the closer you get to the top, the smaller such a cross section will be.

### What vessels have the greatest overal cross section?

cone, cylinder, rectangular prism, square pyramid and triangular prism

### What is the difference between the cross section of a pyramid and the cross section of a prism?

The cross section of a pyramid shrinks from the shape of the base down to a point as you move along its axis from the base to the apex. The cross section of a prism is constant along its axis.
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