MATH 202 Chapter Notes - Chapter 13: Platonic Solid, Submersed
Document Summary
Some of the basic solid shapes are prisms, cylanders, pyramids, and cones. There are five platonic solids: tetrahedron, cube, octahedrom, dodechedrom, and icosahedron. An essential 2-dimensional aspect of a solid shape is its outer surface. Patterns can be made to form the outer surface of a solid shape. The surface area of a solid shape is determined by adding the areas of all component parts of the outer surface of the shape. Additional 2-dimensional aspects of solid shapes are cross-sections and shadows. The volume of a prism or a cylinder is (height)*(area of base). The volume of a cone is 1/3*(height *area of base) The height is measures perpendicular to the base. We can explain the volume formula for prisms and cylinders by viewing a prism or cylinder as cut into layers parallel to the base. 13. 4 volume of submersed objects versus weight floating objects.