Geometry 12.2 Surface Area of Right Prisms
Prism- a polyhedron with 2 congruent faces called bases
Lateral faces- are parallelograms formed by connecting
the corresponding vertices of the bases. The segments
connecting these vertices are lateral edges.
Base
Lateral edges
Height
Lateral faces
Right prism- each lateral edge is perpendicular to both
bases.
Base
Surface area- sum of the areas of a polyhedron's faces.
Lateral area-the sum of areas of the lateral faces of a
polyhedron.
Apr 3 ­ 11:44AM
Apr 3 ­ 12:02PM
Find the surface area of a right rectangular prism with a height of 2 feet, a length of 5 feet, and a width of 4 feet.
The surface area S of a right prism can be found using the formula S=2B+Ph, where B is the area of a base, P is the perimeter of a base, and h is the height of the prism.
Find the surface area of a cube with sides 5 feet.
Find the surface area.
6 cm
4 cm
Apr 3 ­ 12:12PM
12 cm
Apr 3 ­ 12:15PM
Find the surface area of the right prism.
Find the surface area of a right triangular prism with a height of 11 meters, and bases that are triangles with sides of 3 meters, 4 meters, and 5 meters. 9cm
4cm
11 m
16cm
6 in
6 in
3
5m
4m
10 in
6 in
Apr 3 ­ 12:16PM
Apr 3 ­ 12:21PM
1
Cylinder­ a solid with congruent circular bases Find the surface area of a right cylinder that has a diameter of 10 in. and a height of 10 in. 10
Right Cylinder­ a cylinder that segments joining the centers of the bases is perpendicular to the bases. Lateral Area of a Cylinder­ the area of its curved surface,
the lateral area is equal to the product of the circumference
and the height, which is 2∏rh.
10 in
Find surface area of cylinder with radius 9 cm & height 22 cm
9
22 cm
Surface Area of a Cylinder S = 2∏r2 + 2 ∏rh
­ equal to the sum of the lateral area and the areas of the two bases. Base
Radius r
Find the height of a cylinder that has a radius of 9.5 inches & a surface area of 925.2 square inches.
9.5
Height h
Base
Apr 3 ­ 12:23PM
Apr 3 ­ 12:36PM
Net­­2­dimensional representation of faces
• imagine you cut some edges of the polyhedron and unfold it
NET OF CYLINDER
Mar 25­9:12 AM
May 3­8:15 AM
2