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Surface Area of Prisms

Surface Area of Prisms. Lesson 12.1. Polyhedra : a solid with flat faces. Poly - many hedra - faces flat faces, solid shapes, faces are polygons, lines are edges. A familiar type of polyhedron is a PRISM. 2 congruent parallel faces called bases.

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Surface Area of Prisms

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  1. Surface Area of Prisms Lesson 12.1

  2. Polyhedra: a solid with flat faces • Poly- many hedra - faces • flat faces, solid shapes, faces are polygons, lines are edges

  3. A familiar type of polyhedron is a PRISM. • 2 congruent parallel faces called bases. • Lateral Edges:edges joining vertices of the bases • Lateral Faces: the faces of the prism that are not bases (parallelograms)

  4. Lateral Surface Area of a prism: sum of the areas of the lateral faces. Total Surface Area of a prism: sum of the prism’s lateral area and the area of the two bases.

  5. The right triangular prism can be divided into two triangles (the parallel bases) and three rectangles (the lateral faces). • L.A. = 260 + 280 + 300 = 840 units2 • T.A. = 840 + 84 + 84 = 1008 units2

  6. AIMS Reference Sheets • Know how to read & understand the what is written. 8th Grade High School

  7. Find the amount of material needed to make the tent. • This two-person tent comes in a variety of colors. We recommend choosing a lighter color that will not attract mosquitoes. Our tents are totally waterproof. This unique design allows occupants plenty of room for two sleeping bags and gear. You can even stand in this tent! • Floor of tent: 2.0 m x 3.0 m • Center Height: 2.0 m • Straight Side Height: 0.5 m • Slant height: 1.8 m • Price: $210.00

  8. Find the surface area of the tent: • SA rectangle base: (2)(3)[floor of tent] + 2(0.5)(2) + 2(0.5)(3) = 11 m2 • SA top: 2(1.8)(3) + 2(1.5) = 13.8 m2 • Total: 11 + 13.8 = 24.8m2

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