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EXAMPLE 1

Draw a net of the triangular prism. Draw one base with a rectangle adjacent to each side. Draw the other base adjacent to one of the rectangles. Drawing a Net. EXAMPLE 1. SOLUTION. METHOD 1. For the rectangular faces, draw adjacent rectangles. Draw the

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EXAMPLE 1

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  1. Draw a net of the triangular prism. Draw one base with a rectangle adjacent to each side. Draw the other base adjacent to one of the rectangles. Drawing a Net EXAMPLE 1 SOLUTION METHOD 1

  2. For the rectangular faces, draw adjacent rectangles. Draw the bases on opposite sides of one rectangle. Drawing a Net EXAMPLE 1 METHOD 2

  3. You are painting a storage chest with the given dimensions. Find the surface area to be painted. Using a Net to Find Surface Area EXAMPLE 2 Storage Chest

  4. There are two square faces and four rectangular faces, so the surface area is 2225 in.2+4450 in.2 =2250 in.2 Using a Net to Find Surface Area EXAMPLE 2 SOLUTION Draw a net of the chest. The area of each square face is 15 in. 15in. = 225 in.2 The area of each rectangular face is 30 in. 15 in. = 450 in.2

  5. ANSWER The surface area of the storage chest is 2250 square inches. Using a Net to Find Surface Area EXAMPLE 2

  6. Find the surface area of the triangular prism. 1 = 2( 1012)+ (13+ 13+ 10)15 2 ANSWER The surface area of the prism is 660 square centimeters. Using a Formula to Find Surface Area EXAMPLE 3 S = 2B+ Ph = 660

  7. Find the surface area of the can of sloppy joe sauce. ANSWER The surface area of the can is about 369 square centimeters. Finding the Surface Area of a Cylinder EXAMPLE 4 Packaging SOLUTION The radius is one half the diameter, so r =4 cm. S = 2πr2+ 2πrh Write formula for surface area. = 2π(4)2 + 2π(4)(10.7) Substitute 4 for r and 10.7 for h. ≈ 369.45 Evaluate using a calculator.

  8. 1. ANSWER 222 ft2 for Examples 1, 2, 3, and 4 GUIDED PRACTICE Draw a net of the solid. Then find the surface area. Round to the nearest tenth. Check your answer for reasonableness.

  9. ANSWER 384 m2 for Examples 1, 2, 3, and 4 GUIDED PRACTICE

  10. ANSWER 1407.4 in.2 for Examples 1, 2, 3, and 4 GUIDED PRACTICE

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