Lesson 13: Surface Area of Prisms and Cylinders CE 2015
Math 7 B Unit 4: Measurement
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Surface area is the total area of all the faces of a solid shape. In this lesson, we will be focusing on finding the surface area of prisms and cylinders.
To find the surface area of a prism, follow these steps:
1. Identify the number and shape of the faces of the prism. A prism has two congruent bases and rectangular side faces.
2. Find the area of each face. For the two bases, you need to know the shape (e.g., square, rectangle) and the dimensions (length and width) to calculate the area. The area of a rectangle is found by multiplying its length by its width. For the side faces, you need to determine the dimensions of the rectangular sides.
3. Add up the areas of all the faces. Once you have calculated the area of each face, simply add them together to obtain the total surface area of the prism.
To find the surface area of a cylinder, follow these steps:
1. Identify the base and the lateral surface. A cylinder has two circular bases and a curved lateral surface.
2. Find the area of each face. For the circular bases, you need to know the radius to calculate the area. The area of a circle is found by multiplying pi (approximately 3.14) by the square of the radius. For the lateral surface, you need to determine the height of the cylinder, which is the same as the distance between the bases.
3. Add up the areas of all the faces. Once you have calculated the area of the bases and the lateral surface, simply add them together to obtain the total surface area of the cylinder.
Remember to use the appropriate units when reporting the surface area, such as square inches, square centimeters, or square meters.
By following these steps, you will be able to find the surface area of prisms and cylinders in this lesson on measurement.