Cross Sections and Solids of Revolution

Front

What is a cross section?

Back

A cross section is the intersection of a solid and a plane, showing a two-dimensional shape that represents a slice of the solid.

Front

What shape is formed by the cross section of a cylinder perpendicular to its height?

Back

Circle

Front

What is a solid of revolution?

Back

A solid of revolution is a three-dimensional shape created by rotating a two-dimensional shape around an axis.

Front

What is the cross section of a cone?

Back

The cross section of a cone can be a circle, triangle, or ellipse depending on the angle of the cut.

Front

Describe the cross section of a rectangular prism.

Back

The cross section of a rectangular prism is a rectangle.

Front

What shape is formed when a rectangle is revolved around one of its sides?

Back

Cylinder

Front

What is the cross section of a sphere?

Back

The cross section of a sphere is a circle.

Front

What happens to the cross section of a solid when the cutting plane is parallel to the base?

Back

The cross section will be similar to the base shape.

Front

What is the cross section of a triangular prism?

Back

The cross section of a triangular prism is a triangle.

Front

What is the result of revolving a semicircle around its diameter?

Back

A sphere.