Chapter 12.2 and 12.3Surface area of prisms, cylinders, cones, and pyramids

Lateral Area Faces that are not bases are called

lateral faces.

Lateral faces intersect at lateral edges.

The lateral area (L) of a prism is the sum of the area of the lateral faces.

Example 1Lateral Area of a Prism

Find the lateral area of the regular hexagonal prism.

Example 1

A. 162 cm2

B. 216 cm2

C. 324 cm2

D. 432 cm2

Find the lateral area of the regular octagonal prism.

Surface Area Surface area of a prism is the sum

of the lateral area and the areas of the bases.

Example 2Surface Area of a Prism

Find the surface area of the rectangular prism.

Example 2

A. 320 units2

B. 512 units2

C. 368 units2

D. 416 units2

Find the surface area of the triangular prism.

Example 3Lateral Area and Surface Area of a Cylinder

Find the lateral area and the surface area of the cylinder. Round to the nearest tenth.

Example 3

A. lateral area ≈ 1508 ft2 andsurface area ≈ 2412.7 ft2

B. lateral area ≈ 1508 ft2 andsurface area ≈ 1206.4 ft2

C. lateral area ≈ 754 ft2 andsurface area ≈ 2412.7 ft2

D. lateral area ≈ 754 ft2 andsurface area ≈ 1206.4.7 ft2

Find the lateral area and the surface area of the cylinder. Round to the nearest tenth.

Example 4Find Missing Dimensions

MANUFACTURING A soup can is covered with the label shown. What is the radius of the soup can?

Example 4

A. 12 inches

B. 16 inches

C. 18 inches

D. 24 inches

Find the diameter of a base of a cylinder if the surface area is 480 square inches and the height is 8 inches.

Example 1Lateral Area of a Regular Pyramid

Find the lateral area of the square pyramid.

Answer: The lateral area is 25 square centimeters.

Example 1

A. 54 in2

B. 64 in2

C. 108 in2

D. 132 in2

Find the lateral area of the square pyramid.

Example 2Surface Area of a Square Pyramid

Find the surface area of the square pyramid to the nearest tenth.

Example 2

A. 96 in2

B. 124.3 in2

C. 138.5 in2

D. 156 in2

Find the surface area of the square pyramid to the nearest tenth.

Example 3Surface Area of a Regular Pyramid

Find the surface area of the regular pyramid. Round to the nearest tenth.

Example 3

A. 198 in2

B. 228.5 in2

C. 255.5 in2

D. 316.3 in2

Find the surface area of the regular pyramid. Round to the nearest tenth.

Concept

Example 4Lateral Area of a Cone

ICE CREAM A sugar cone has an altitude of

8 inches and a diameter of inches. Find the

lateral area of the sugar cone.

Example 4

A. 39.7 in.2

B. 43.6 in.2

C. 48.2 in.2

D. 53.1 in.2

HATS A conical birthday hat has an altitude of 6 inches and a diameter of 4 inches. Find the lateral area of the birthday hat.

Example 5

A. 58.2 cm2

B. 61.3 cm2

C. 63.6 cm2

D. 70.7 cm2

Find the surface area of the cone. Round to the nearest tenth.