Plane Slices

Ethan is slicing several figures with planes parallel to their bases. Which cross sections will be a rectangle or square?

• cube

• rectangular prism

• cylinder

• rectangular pyramid

• triangular prism

A right cylinder is sliced to create a plane section. Which statement is true about the plane section of a right cylinder?

• A slice parallel to the base produces a plane section that is an oval.

• A perpendicular slice to the base produces a plane section that is a triangle.

• A slice at a slant through one base produces a plane section with exactly one straight side.

• A slice at a slant through both bases produces a plane section with exactly one curved edge.

The right rectangular prism will be sliced by a plane. Determine the true statements.

• A slice made perpendicular to the base will be the same size and shape as the base.

• A slice made parallel to the base will be the same size and shape as a face that is not a base.

• A slice made at an angle to the base can form a triangle.

• A slice that cuts off an upper and a lower corner of the prism will form a triangle.

Kameela slices a right rectangular prism to form a plane section. What is the least number of sides possible for the plane section?

• 2

• 3

• 4

• 6

A right rectangular pyramid is sliced at an angle. Which shapes are possible plane sections?

• quadrilateral

• pentagon

• hexagon

• octagon

• triangle

Determine whether each description produces a plane section with 4 sides.

• slicing a cube through all faces

• slicing a right cylinder parallel to the bases

• slicing a right triangular prism perpendicular to the bases

• slicing a right square pyramid perpendicular to the base

• slicing a rectangular prism at a slant through neither base

Vivian creates a plane section by slicing the right cylinder. The slice is not perpendicular to the bases. What is the greatest number of straight sides the resulting plane section can have?

• 2

• 3

• 4

• 5

Kyung slices the cube. What is the greatest number of sides possible for the plane section formed by the slice?

• 3

• 4

• 5

• 6

Jody draws a plane that slices through the vertex of a right square pyramid perpendicular to the base. Which shape is created from this slice?

• trapezoid

• square

• triangle

• point

If a right rectangular pyramid is sliced perpendicular to its base into two congruent pieces, which two-dimensional plane section could result from the slice?

• cirlce

• pentagon

• rectangle

• triangle