Exploring Cross Sections in Geometry

This video tutorial explains how to find cross-sections of three-dimensional figures. It defines cross-sections as shapes exposed by making straight cuts through 3D figures, which can be horizontal or vertical. Horizontal cross-sections are parallel to the base, while vertical ones are perpendicular or at an altitude to the face. The video provides examples using triangular and rectangular prisms, cylinders, pyramids, cones, and spheres, illustrating the resulting shapes of cross-sections. It concludes with a review and an example problem involving a right circular cone.

What is a cross-section in the context of 3D figures?

• A 2D shape formed by a cut parallel to the base

• A method to measure the volume of the figure

• A 2D shape formed by any straight cut through the figure

• A 3D shape formed by a cut through the figure

What shape results from a horizontal cut through a triangular prism?

• Rectangle

• Square

• Triangle

• Circle

What is the shape of a vertical cross section in a triangular prism?

• Triangle

• Circle

• Rectangle

• Square

If a rectangular prism is cut horizontally, what shape is the cross section?

• Circle

• Triangle

• Rectangle

• Square

What shape results from a vertical cut through a cylinder?

• Rectangle

• Triangle

• Circle

• Square

What shape is formed by a horizontal cut through a pyramid?

• Circle

• Triangle

• Square

• Rectangle

What shape does a vertical cut through a cone produce?

• Square

• Circle

• Rectangle

• Triangle

If a sphere is cut vertically, what is the shape of the cross section?

• Circle

• Rectangle

• Square

• Triangle

What does a horizontal cross section parallel to the base of a cone resemble?

• Square

• Circle

• Triangle

• Rectangle

Which term is associated with vertical cross sections?

• Parallel

• Aligned

• Perpendicular

• Diagonal