A cylinder with a radius of 6 feet and a height of 10 feet. 2 x 3.14 x 62 + 3.14 x 12 x 10 = 602.88 square feet, rounded to the nearest hundredth.A rectangular prism with the following measurements: length 3 meters, width 7 meters, and height 5 meters. 2(3 x 7 + 5 x 7 + 3 x 5) = 142 square meters.Step 8: In groups or in pairs, ask students to calculate surface areas for: The P in the formula refers to the perimeter of the base. This formula adds together the area of the base with the area of the four triangular sides of the square pyramid. slant h, and show students how to calculate the answer.Step 7: Show students the surface area formula for square pyramids on the Setting the Stage With Geometry Classroom Poster, SA= ( BA) + 1/2 P The square pyramid has a base area ( BA) measurable by l Show the slant height as 5 feet by drawing a perpendicular line from the center of one of the base sides to the top of the pyramid. Step 6: Finally, draw a square pyramid on the board and mark the dimensions with a base length of 6 feet and a base width of 6 feet. h), and demonstrate how to calculate surface area for the cylinder you have drawn. ![]() Step 5: Show students the surface area formula for cylinders on the Setting the Stage With Geometry Classroom Poster, SA= (2 When you unroll the paper, students will see that the surface between the two bases is a rectangle when "unrolled" and that the formula simply adds the area of the bases to the area of the rectangle. Demonstrate this to your class by using a rolled-up piece of paper to create a cylinder use two paper circles (cut out beforehand) to fill in the bases. Indicate that the surface area for a cylinder equals the area of the two bases plus the area of the surface between the bases. Step 4: Now draw a cylinder and mark the dimensions with the radius at 3 feet and the height at 4 feet. Step 3: Demonstrate how to calculate total surface area for the rectangular prism you have drawn. Explain to them that the surface area of 3-D objects is measured in square units, just like the area of 2-D objects, and is the sum of all of the 3-D object's 2-D surfaces. Step 2: Show students the surface area formula for rectangular prisms on the Setting the Stage With Geometry Classroom Poster: SA= 2 ( l Point out that opposite surfaces have the same area. Ask students to calculate the area of one of the surfaces, say 5 x 4 = 20 square feet. Step 1: Draw a rectangular prism on the board with these measurements: height = 3 feet, length = 4 feet, and width = 5 feet. Introduction to Formulas for Surface Area
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