Solid mensuration prism lecture
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A prism is a polyhedron with two parallel, congruent bases. There are two types of prisms: oblique and right. An oblique prism has a non-perpendicular axis, while a right prism has an axis perpendicular to its bases. A prism has elements including bases, an altitude, an axis, lateral areas, lateral edges, right sections, and vertices. Formulas can be used to calculate a prism's properties like its total surface area, lateral area, volume, and more.
Solid mensuration prism lecture
- 1. PRISM Prism is a polyhedron in which two faces are equal polygons in parallel planes, and all other faces are parallelograms. There are two types of prism; oblique prism and right prism. Oblique prism is when the axis is not perpendicular to the base and right prism if the axis is parallel to the base. In right prism, all lateral areas are rectangle.
- 3. ELEMENTS OF A PRISM
- 4. ELEMENTS OF A PRISM Base - Prism has two equal parallel bases, the upper and lower base. The area of the base is denoted by Ab. Altitude - The perpendicular distance between the upper and lower bases and is denoted by h. Axis - The line that connects the centroid of upper and lower bases. The length of axis is equal to the length of the lateral edge. Lateral Area - Area of the side of the prism, it is denoted by Al.
- 5. Lateral Edge - Lateral edge or lateral side is a line that connects the corresponding vertices of the bases. Edge in general is the line made by the intersection of two lateral faces. Right Section - Right section is the section made by a cutting plane that is perpendicular to the axis of the prism. The area of the right section is denoted by Ar. Vertex - Vertex is a point formed by the intersection of three or more edges. Note that at least three edges must intersect to define the vertex of a solid.
- 6. IMPORTANT PROPERTIES OF A PRISM
- 7. FORMULAS
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