Surface area of prisms and cylinders

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This amazing power point will show you everything that you need to know about finding the surface area of prisms and cylinders. 7TH GRADE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Transcript
  • 1. 10-4 Surface Area Of Prisms And Cylinders If you need to, turn to page 607-608 in your textbook. Write everything down, please.
  • 2. Vocabulary • Net- the figure you make if you lay a 3-dimensional figure out flat • Surface Area- the sum of the areas of all the surfaces of a figure expressed in square units • Lateral Faces- parallelograms that connect the bases • Lateral Area- the sum of the areas of the lateral faces
  • 3. Notes If you remove the surface from a 3-dimensional figure and lay it out flat, the pattern you make is called a net. Nets allow you to see all the surfaces of a solid at one time. You can use nets to help you find the surface area of a 3-dimensional figure. Surface area is the sum of the areas of all of the surfaces of a figure expressed in square units. The lateral faces of a prism are parallelograms that connect the bases. The lateral area of a prism is the sum of the areas of the lateral faces. The net of a prism can be drawn so that the lateral faces form a rectangle with the same height as the prism. The length of the rectangle is equal to the perimeter of the base of the prism.
  • 4. Surface Area Of A Prism The surface area s of a prism is twice the base B plus the lateral area L. The lateral area is the base perimeter P times the height h. Height Base Formula: S=2B+L
  • 5. Examples For the examples, you will have to open up your book to pages 607-608. Sorry!!
  • 6. Notes The lateral area of a cylinder is the curved surface that connects the 2 bases. The net of a cylinder can be drawn so that the lateral area forms a rectangle with the same height as the cylinder. The length of the rectangle is equal to the circumference of the base of the cylinder.
  • 7. Surface Area of A Cylinder The surface area S of a cylinder is twice the base area B plus the lateral area L. The lateral area is the base circumference 2𝜋𝑟 times the height h. Formula: S=2B+L
  • 8. Do you have a question? Do you need help? We will be with you shortly. Just raise your hand and be patient. Your assignment is: Pages 610-611 You must show the formula and show work for every problem!!!
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