Relating 2-D and 3-D Geometry
Read this topicExplanations 2
- A cross-section is the intersection of a plane and a solid. For example, if one cuts a right circular cylinder with a plane parallel to one of the bases, one obtains a circular …
By Sujay Kazi, Fernando Veloso
- A cross-section is the area of the shape where a 3-D shape meets a 2-D plane. Think of it as slicing an object in half and looking at where it was cut. For example, cross-sectio…
By Benjamin Wright
Problems 3
- What is the area of the cross section formed by cutting a cylinder parallel to its bases, if its radius measures 333 centimeters?
- At most how many regions in space do 444 planes create? (Alternative formulation: Using only 444 cuts, how many pieces can you slice a spherical watermelon into?) Hint: Look at …
- What is the area of the cross section formed by a plane and a sphere intersecting at the sphere's center? (The sphere has radius 777.)