Surface Area of Prisms

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1 Surface Area of Prisms Find the Surface Area for each prism. Show all of your work. Surface Area: The sum of the areas of all the surface (faces) if the threedimensional figure. Rectangular Prism: A prism with a rectangular base. Formula: 2 lw + 2 lh + 2 wh Triangular Prism: A prism with a triangular base. Formula: Area of the base times 2 plus the area of each side. Write the formula. Find the measurements for the length, the width, and the height. Plug the measurements into the formula. Solve. Make sure to square the answer. 1

2 Surface Area of Prisms Find the Surface Area for each prism. Show all of your work. Surface Area: The sum of the areas of all the surface (faces) if the threedimensional figure. Rectangular Prism: A prism with a rectangular base. Formula: 2 lw + 2 lh + 2 wh Triangular Prism: A prism with a triangular base. Formula: Area of the base times 2 plus the area of each side. Write the formula. Find the measurements for the length, the width, and the height. Plug the measurements into the formula. Solve. Make sure to square the answer. 2

3 Surface Area of Prisms Find the Surface Area for each prism. Show all of your work. Surface Area: The sum of the areas of all the surface (faces) if the threedimensional figure. Rectangular Prism: A prism with a rectangular base. Formula: 2 lw + 2 lh + 2 wh Triangular Prism: A prism with a triangular base. Formula: Area of the base times 2 plus the area of each side. Write the formula. Find the measurements for the length, the width, and the height. Plug the measurements into the formula. Solve. Make sure to square the answer. 3

4 Surface Area of a Cylinder Find the surface area for each cylinder. Show all of your work. Round to the nearest tenth. Surface Area: The sum of the areas of all the surfaces (faces) of the threedimensional object. Cylinder: A three-dimensional object with circles forming the top and bottom bases. A cylinder is made of 2 circles and a rectangle (wraps around the object). Formula: S.A. = 2πr² + π d h Find the areas of the bases (circles) A = 2 πr² Remember there are two bases. Find the area of the rectangle (around). A = π d h Add the areas together to find the surface area. Remember to square your answer. 4

5 5

6 Surface Area of a Cylinder Find the surface area for each cylinder. Show all of your work. Round to the nearest tenth. Surface Area: The sum of the areas of all the surfaces (faces) of the threedimensional object. Cylinder: A three-dimensional object with circles forming the top and bottom bases. A cylinder is made of 2 circles and a rectangle (wraps around the object). Formula: S.A. = 2πr² + π d h Find the areas of the bases (circles) A = 2 πr² Remember there are two bases. Find the area of the rectangle (around). A = π d h Add the areas together to find the surface area. Remember to square your answer. 6

7 Surface Area of a Cylinder Find the surface area for each cylinder. Show all of your work. Round to the nearest tenth. Surface Area: The sum of the areas of all the surfaces (faces) of the threedimensional object. Cylinder: A three-dimensional object with circles forming the top and bottom bases. A cylinder is made of 2 circles and a rectangle (wraps around the object). Formula: S.A. = 2πr² + π d h Find the areas of the bases (circles) A = 2 πr² Remember there are two bases. Find the area of the rectangle (around). A = π d h Add the areas together to find the surface area. Remember to square your answer. 7

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