Surface Area The sum of the area of all the faces of a polyhedron.

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Presentation transcript:

Surface Area The sum of the area of all the faces of a polyhedron

Prism A polyhedron with exactly two congruent, parallel faces called bases. Any other faces are the lateral faces.

Lateral Area: Sum of the areas of the lateral faces (more than 2 of same shape)

Surface Area: Sum of the lateral area and the two bases.

Find the Surface Area of Each Prism 4 in 5 in 8 in. 7 ft 3 ft 10 ft

Cylinder Has two congruent parallel bases like a prism, but the bases are circles. Altitude of a cylinder is the perpendicular segment that joins the bases. The height (h) of a cylinder is the length of the altitude.

Lateral Area: The area of the “curved surface”. Circumference of Circle Height of Cylinder

FORMULA FOR SURFACE AREA OF A CYLINDER the surface area of a cylinder is 2 π r 2 + (2 π r)h

Find the Surface Area of each Cylinder. 2 cm 8 cm 16 in 11 in

Surface Areas of Pyramid

Find the value of each in order to find surface area Perimeter of Base: Area of Base: Height: Slant Height: 14 24

Determine the surface area of the pyramid below

Cone Pointed like a pyramid, but its base is a circle. Altitude, of a right cone, is a perpendicular segment from the vertex to the center of the base. Height (h): the length of the altitude. Slant Height ( s ): the distance from the vertex to a point on the edge of the base.

Lateral area: an ice cream cone

Surface Area: the sum of the lateral area and the base(circle) +

Find the surface area of each cone 15 cm 25 cm 26 in 22 in

CREATE A FORMULA CHEAT SHEET RIGHT NOW!!! SURFACE AREA OF ◦ PRISMS ◦ CYLINDERS ◦ PYRAMIDS ◦ CONES