Cross Sections

Front

What is a cross section?

Back

A cross section is a two-dimensional shape obtained by cutting through a three-dimensional object.

Tags

CCSS.7.G.A.3

Front

What shape is formed when a cylinder is cut perpendicular to its axis?

Back

A circle.

Tags

CCSS.7.G.A.3

Front

What shape is formed when a rectangular prism is cut parallel to its base?

Back

A rectangle.

Tags

CCSS.7.G.A.3

Front

What is the cross section of a cone when cut parallel to its base?

Back

A circle.

Tags

CCSS.7.G.A.3

Front

What shape is formed when a triangular prism is cut parallel to its base?

Back

A triangle.

Tags

CCSS.7.G.A.3

Front

What is the cross section of a sphere?

Back

A circle.

Tags

CCSS.7.G.A.3

Front

How does the angle of the cut affect the shape of the cross section?

Back

The angle of the cut can change the shape of the cross section; for example, a vertical cut through a cylinder gives a rectangle, while a horizontal cut gives a circle.

Tags

CCSS.7.G.A.3

Front

What is the cross section of a cube when cut diagonally?

Back

A triangle.

Tags

CCSS.7.G.A.3

Front

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

Back

The cross section can help determine the volume of a solid by integrating the area of the cross sections along the height of the solid.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the cross section of a pyramid when cut parallel to its base?

Back

A smaller, similar polygon.

Tags

CCSS.7.G.A.3