Exploring Cross Sections in Geometry

What shape results from slicing a three-dimensional object with a geometric plane?

• Circle

• Square

• Varies based on the object and plane orientation

• Rectangle

What is the shape of the cross section when a pyramid with a square base is sliced parallel to the base?

• Square

• Rectangle

• Triangle

• Circle

As the slicing plane moves closer to the base of a pyramid, how does the size of the square cross section change?

• Decreases

• Increases

• Remains constant

• Becomes circular

What shape is formed when slicing a pyramid parallel to a side but not the base?

• Square

• Triangle

• Trapezoid

• Rectangle

What happens to the size of a trapezoidal cross section as it moves closer to the side of a pyramid?

• Gets smaller

• Gets larger

• Remains the same

• Turns into a square

In a cube, what shape does a diagonal cut produce?

• Triangle

• Circle

• Square

• Rectangle

What are the dimensions of a cross section in a cube if each side of the cube is 10 inches?

• Variable

• 5x5 inches

• 10x10 inches

• 10x5 inches

What is the area of a cross section that is 10 inches by 14.14 inches?

• 100 square inches

• 141.4 square inches

• 50 square inches

• 28.28 square inches

What is the area of a cross section that measures 3 inches by 4 inches?

• 7 square inches

• 10 square inches

• 12 square inches

• 24 square inches

If a rectangular prism is sliced parallel to its base, what shapes can the cross sections be?

• Only rectangles

• Squares or rectangles

• Only squares

• Triangles or rectangles