Calculating the Surface Area of Prisms and Cylinders

The surface area of a prism or cylinder is the two bases plus the lateral surface. For a cylinder that lateral part unrolls into a rectangle whose width is the circumference.

Worked examples: surface area of prisms and cylinders

Practice questions on prism and cylinder surface area

1. Determine the surface area of a rectangular prism with dimensions (6 text{ cm} times 5 text{ cm} times 8 text{ cm}).
2. What is the surface area of a cylinder with a radius of (5 text{ cm}) and a height of (10 text{ cm})?

1. ( 236 text{ cm}^2 )
2. ( 471 text{ cm}^2 )

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