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Authoritative PPT Summary
"Several Common Geometries" PPT courseware
learning target:
1. Classify common geometric objects (prisms, pyramids).
2. Know the concept of polyhedron.
3. Understand the relationship between the edges, vertices and number of faces of a polyhedron.
Classification of prisms
According to the number of sides of the polygon on the base of the prism,
The base of a prism can be a triangle, quadrilateral, pentagon,...
Such prisms are called three prisms, four prisms, five prisms, etc.
Prisms can also be divided into: straight prisms and oblique prisms
Classification of pyramids
Classification of pyramids:
According to the number of sides of the base polygon, it can be divided into three pyramids, four pyramids, five pyramids,...
polyhedron
Prisms, pyramids, and pyramids are all geometric entities surrounded by some planar polygons.
A geometric body surrounded by several planar polygons is called a polyhedron.
The individual polygons that surround a polyhedron are called faces of the polyhedron.
The common edge of two adjacent faces is called the edge of the polyhedron.
The common point between edges is called the vertex of the polyhedron.
Four common geometric surface area and volume formulas
1. Cuboid
Surface area = 2 (ab+bc+ca)
Volume = abc (a, b, c are length, width and height respectively)
2. Cube
Surface area=6a²
Volume = a³ (here a is the edge length of the cube)
3.Cylinder
Side area=2πRh
Total area=2πRh+2πR²=2πR(h+R)
Volume=πR²h
(Here R represents the radius of the circle at the base of the cylinder, h represents the height of the cylinder)
4. Cone
Side area=πRl
Total area=πRl+πR²
Volume = 1/3πR²h (where R, l, h represent the radius, bus length and height of the base circle of the cone)
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