Grade 8 Surface Area Worksheet
Calculate the surface area of various three-dimensional shapes including prisms, cylinders, and pyramids. This worksheet covers formulas and applications of surface area.
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Surface Area: Prisms, Cylinders, and Pyramids
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Read each question carefully and calculate the surface area. Show your work for full credit. Use π ≈ 3.14 for calculations involving circles or cylinders.
1. Calculate the surface area of the rectangular prism shown below. (All dimensions are in cm)
2. A cylindrical can has a radius of 3 cm and a height of 10 cm. What is its approximate surface area?
188.4 cm²
244.92 cm²
282.6 cm²
314 cm²
3. A square pyramid has a base with side length 6 meters and a slant height of 5 meters. The area of the base is m², and the lateral surface area is m². The total surface area of the pyramid is m².
4. Imagine a rectangular prism with dimensions 6 ft x 4 ft x 2 ft. If a cylinder with a radius of 1 ft and height of 2 ft is removed from the center of the top face, what is the surface area of the remaining solid? Show your steps.
5. The formula for the surface area of a sphere is 4πr².
True
False