L.E.Q. How do you find the surface areas of prisms and cylinders?

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Presentation transcript:

L.E.Q. How do you find the surface areas of prisms and cylinders?

 A prism is a polyhedron with exactly two congruent, parallel faces, called bases.  You name a prism by the shape of the bases.

 The Bases – 2 congruent parallel faces.  Lateral Faces – all the faces between the bases.  An Altitude – a perpendicular segment that joins the planes of the bases.  Height (h) – the length of an altitude.

 Use a net to find the surface area of the prism below.

 The lateral area of a right prism is the product of the perimeter of the base and the height.  The surface area of a right prism is the sum of the lateral area and the areas of the two bases.

 Use formulas to find the lateral area and surface area of the prism.

 Consists of the height and the circumference of the bases.

 The sum of the lateral area and the areas of the two circular bases.

 The lateral area of a right cylinder is the product of the circumference of the base and the height of the cylinder.  The surface area of a right cylinder is the sum of the lateral area and the areas of the two bases.

 The radius of the base of a cylinder is 4 in. and its height is 6 in. Find the surface area of the cylinder in terms of pi.

 The drum of a steamroller is a cylinder of length 5.5 ft. The diameter of the drum is 4.2 ft. What area does the drum cover in one full turn? Round your answer to the nearest square foot.

 Pgs #s 2 – 16 even.