Cross Sections and Rotations

Front

What is a cross section in geometry?

Back

A cross section is the intersection of a solid object with a plane, resulting in a two-dimensional shape.

Front

What shape is the cross section of a cylinder when cut horizontally?

Back

Circle.

Front

What is the cross section of a cone when sliced horizontally?

Back

Circle.

Front

Describe the cross section of a sphere.

Back

Circle.

Front

What is the cross section of a rectangular prism when cut vertically?

Back

Rectangle.

Front

What shape is formed by the cross section of a pyramid?

Back

Triangle.

Front

What is the cross section of a semi-cylinder?

Back

Semi-circle.

Front

How does the cross section change when a solid is sliced at different heights?

Back

The shape of the cross section can vary depending on the height and angle of the cut.

Front

What is the relationship between the cross section and the volume of a solid?

Back

The cross section can be used to calculate the volume of a solid using integration methods.

Front

What is the cross section of a torus?

Back

Circle or oval, depending on the orientation of the cut.