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General Prisms

General Prisms. Information. A prism is a polyhedron with two congruent faces, called bases , that lie in parallel planes . The other faces, called lateral faces, are rectangles formed by connecting the corresponding vertices of the bases. Prisms.

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General Prisms

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  1. General Prisms

  2. Information

  3. A prism is a polyhedron with two congruent faces, called bases, that lie in parallel planes. The other faces, called lateral faces, are rectangles formed by connecting the corresponding vertices of the bases. Prisms This is called a hexagonal prism because its cross-section is a hexagon. A prism has the same cross-section throughout its length.

  4. Surface area of a prism 1 2 Below is the net of a triangular prism. What is its surface area? Find the area of each face, then write it in the diagram of the net. area of triangles: 13cm 260 triangles = × 10 × 12 1 2 triangles = 60 area of rectangles: 60 200 60 10cm sides = 13 × 20 sides = 260 12cm 260 base = 10 × 20 base = 200 add surface area of each face: 20cm 60 + 60 + 200 + 260 + 260 840 cm2

  5. Finding surface area from a net

  6. Volume of a prism The volume of a prism is found by multiplying the area of its cross-section A by the length l of its lateral face (or by its height if it is standing on its cross-section). l h A A V = Al V = Ah

  7. Volume of a prism What are the volumes of these prisms? Area of cross-section Area of cross-section = (7 × 12) – (4 × 3) = 0.5 × 5 × 4 = 84 – 12 = 10cm2 = 72m2 Volume of prism Volume = 10 × 7.2 = 72 × 5 = 72cm3 = 360m3 7m 7.2cm 3m 12m 4m 4cm 5m 5cm

  8. Naming prisms

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