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CSCA MathematicsChapter 3: Geometry & AlgebraIntermediate

Solid Geometry: Line-Plane Positional Relations & Volume

空间点线面位置关系、表面积与体积 · Node 3.4

Parallelism and perpendicularity criteria for lines and planes, spatial angles, surface area and volume of prisms, pyramids, cylinders, cones, spheres.

Chapter Weight: 25% of official examination
Practice This Node

Core Mathematical Axiom

Formula Proof & Traps
Vcylinder​=πr2h,Vcone​=31​πr2h,Vsphere​=34​πR3,Ssphere​=4πR2
CSCA Exam Trap Alert

Proving line perpendicular to plane with two parallel lines in the plane instead of two intersecting lines.

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