6.2 Surface Area of Prisms and Cylinders
OBJECTIVE: Determine the surface areas and lateral areas of prisms and cylinders.
HW Solutions
p. 304-05 # 1-13a, 17a
1. A, B, D
2. A, B, D
3. B
4. D
5. E
6. C
7. A
8. a. Fig 2 and Fig 3
b. cube
9. blue
10. green
11. brown
12. purple
13a. 17a. A. icosahedron
B. octahedron
C. hexahedron
D. tetrahedron
E. dodecahedron
6.2 Surface Area of Prisms and Cylinders
1. Prisms and cylinders have 2 congruent parallel bases.
2. A lateral face is not a base. 3. The edges of the base are called base edges. 4. A lateral edge is not an edge of a base. 5. The lateral faces of a right prism are all rectangles. 6. An oblique prism has at least one nonrectangular lateral face.
An altitude of a prism or cylinder is a perpendicular segment joining the planes of the bases. The height of a three­dimensional figure is the length of an altitude.
Surface area is the total area of all faces and curved surfaces of a three­dimensional figure. The lateral area of a prism is the sum of the areas of the lateral faces.
The surface area of a right rectangular prism with length ℓ, width w, and height h can be written as
S = 2ℓw + 2wh + 2ℓh.
Find the lateral area and surface area of the right rectangular prism. Round to the nearest tenth, if necessary.
Find the lateral area and surface area of the figure.
HW # 69
Prism Wksht
5.