Question

A cross section is made by the intersection of a plane and a square pyramid at an angle either parallel or perpendicular to the base.

The cross section can be which of these shapes? Check all that apply.

-square
-triangle
-trapezoid
-circle
-non-square rectangle

Answer 1

A cross section is the two dimensional shape that is created when a slice is made through a solid figure by an intersection of a plane and the solid body.

A square pyramid is a pyramid with a square base.

Case 1: When the plane intersects the square pyramid at an angle perpendicular to the base but not through the vertex. In this case a trapezoid is formed.

Case 2: When the plane intersects the square pyramid at an angle perpendicular to the base and through the vertex. In this case a triangle is formed.

Case 3: When the plane intersects the square pyramid at an angle parallel to the base. In this case a square is formed.

Therefore, a cross section made by the intersection of a plane and a square pyramid at an angle either parallel or perpendicular to the base can be of shapes:

-square
-triangle
-trapezoid

Answer 2

A cross-section is made by the intersection of a plane and a square pyramid at an angle either parallel or perpendicular to the base square, triangle, and, trapezoid.

What is an area of cross-section?

A cross-section parallel to the base will be a square.

One perpendicular to the base will be a trapezoid, or if it passes through the vertex of the pyramid, a triangle.

• The cross-section of the pyramid is perpendicular to the base and through the vertex will be a triangle.

• The cross-section has the same shape but it has a smaller base.

• The cross-section perpendicular to the triangular bottom then it will be a trapezoid.

Hence, a cross-section is made by the intersection of a plane and a square pyramid at an angle either parallel or perpendicular to the base square, triangle, and, trapezoid.

To know more about the Area of cross-section click the link given below.

https://brainly.com/question/83161