CName:_______________________________________
Date:________ Period:_______
Lateral Area Notes
Ms. Anderle
Lateral Area
For prisms, pyramids, cylinders, and cones, lateral area is the area of a figure, not including the bases.
Example:
Lateral Area Formulas:
Rectanglar Prism:
Rectangular Right Pyramid:
Right Circular Cylinder:
Right Circular Cone:
L.A. = (base perimeter)h
L.A. = ½ (base perimeter)(slant height)
L.A. = 2πrh
L.A. = πr(slant height)
Examples:
1. Find the lateral area of the figure below.
2. Find the lateral area of a prism whose length is 7 cm, width is 9 cm, and height is 6 cm.
3. Find the lateral area of the cylinder below.
4. The Great Pyramid at Giza, Egypt, was built about 2580 B.C. as a final resting place for
Pharaoh Khufu. At the time it was built, its height was about 481 ft. Each edge of the square
base was about 756 ft long. What was the lateral area of the pyramid?
5. An office has recycling barrels for cans and paper. The barrels are cylindrical with cardboard
sides and plastic lids and bases. Each barrel is 3 ft tall, and the diameter is 30 inches. How many
square feet of cardboard are used to make each barrel?
6. The roof of a birdhouse is a regular hexagonal pyramid. The base of the pyramid has sides of
4 inches, and the slant height of the roof is 12 inches. If the roof is made of copper, find the
amount of copper used for the roof?
7. The roof on a building is a square pyramid with no base. If the altitude of the pyramid
measures 5 feet and the slant height measures 20 feet, find the area of the roof.
8. Diego has a conical lamp shade with an altitude of 6 inches and a diameter of 12 inches.