Cross-sections

Front

What is a cross-section?

Back

A cross-section is the shape that is obtained when a solid is cut through a plane.

Front

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

Back

A circle.

Front

What shape is the cross-section of a square pyramid when cut horizontally?

Back

A square.

Front

What is the cross-section of a cylinder when cut vertically?

Back

A rectangle.

Front

What is the cross-section of a cube when cut through the middle?

Back

A square.

Front

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

Back

The angle of the cut can change the shape of the cross-section; for example, a diagonal cut can create a trapezoid.

Front

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

Back

A circle.

Front

What is the cross-section of a triangular prism when cut parallel to the base?

Back

A triangle.

Front

What is the cross-section of a square pyramid when cut diagonally?

Back

A triangle.

Front

What is the relationship between the height of a cut and the size of the cross-section?

Back

As the height of the cut increases, the size of the cross-section may also increase, depending on the shape of the solid.