LESSON 59 Finding Surface Areas and Volumes of Prisms

REVIEW A prism is a polyhedron formed by two parallel congruent polygonal bases connected by lateral faces that are parallelograms  b b ase of a prism is one of the two congruent parallel faces  l l ateral face is a face that is not a base

NEW VOCABULARY Surface Area The surface area of a solid is the total area of all its faces and curved surfaces Lateral Area The lateral area is the sum of areas of the lateral faces of a prism or pyramid, or the surface area, excluding the base(s), of cylinder or cone

AREA FORMULAS FOR PRISMS Surface AreaLateral Area

FIND THE LATERAL AND SURFACE AREA, DIMENSIONS ARE IN METERS

FIND THE SURFACE AREA OF A REGULAR HEXAGONAL PRISM, DIMENSIONS ARE IN FEET

REMEMBER THE BASE IS A REGULAR HEXAGON

It would create 6 equilateral triangles We just need to find the area of these 6 triangles, but how will we find the height?

It would create 6 equilateral triangles We just need to find the area of these 6 triangles, but how will we find the height? 30°-60°-90° What is the height of each triangle?

FIND THE SURFACE AREA OF A REGULAR HEXAGONAL PRISM, DIMENSIONS ARE IN FEET

VOLUME OF PRISMS, RIGHT AND OBLIQUE A right prism is a prism whose lateral faces are all rectangles and whose lateral edges are perpendicular to both bases An oblique prism is a prism that has at least one nonrectangular face, which means all of the lateral edges will not be perpendicular to the bases What is another word for height? Altitude

VOLUME OF PRISM WITH UNKNOWN HEIGHT

LOOKING FORWARD Finding surface area and volume of prisms will prepare you for: LL esson 62: Finding Surface Areas and Volumes of Cylinder LL esson 70: Finding Surface Areas and Volumes of Pyramids LL esson 77: Finding Surface Areas and Volumes of Cones LL esson 80: Finding Surface Areas and Volumes of Spheres LL esson 85: Cross Sections of Solids LL esson 93: Representing Solids with Orthographic Views LL esson 99: Volume Ratios of Similar Solids