Lateral Area Worksheet
A Grade 12 Math worksheet focusing on calculating the lateral surface area of various 3D geometric shapes, including prisms, cylinders, pyramids, and cones.
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Lateral Area Worksheet
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Read each question carefully and calculate the lateral surface area for the given geometric shapes. Show all your work.
1. A rectangular prism has a length of 8 cm, a width of 5 cm, and a height of 10 cm. Calculate its lateral surface area.
2. A cylindrical can has a radius of 4 cm and a height of 12 cm. Determine its lateral surface area. Use π ≈ 3.14.
3. The lateral surface area of a regular square pyramid with a base side length of 6 inches and a slant height of 8 inches is square inches.
4. For a cone with a radius of 3 meters and a slant height of 5 meters, its lateral surface area is π square meters.
5. Which of the following formulas represents the lateral surface area of a cylinder?
πr²h
2πrh
2πr(r + h)
πrl
6. The lateral surface area of a prism includes the area of its bases.
True
False
7. A company is designing a new cylindrical water tank. The tank needs to hold a certain volume of water, and they want to minimize the material used for the sides of the tank. If the radius is 5 meters and the height is 10 meters, what is the lateral surface area of the tank? Explain how this calculation is important for the company.