CHAPTER Surface Area - School District #35

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Name: _____________________________________________________ Date: ______________ Working Example 2: Calculate the Surface Area of a Right Triangular Prism a) Draw the net of this right triangular prism. Solution 9 m 9 m 3 m 2.6 m 3 m 2.6 m b) What is the surface area 3 sides with the same length Solution The bases of the prism are equilateral triangles. The sides of the prism are rectangles. rectangle triangle 3 m 2.6 m 9 m A = l × w A = (b × h) ÷ 2 = m 2 = 9 × = (3 × 2.6) ÷ 2 3 m = ÷ 2 = m 2 The right triangular prism has 5 faces. A = A = A = A = A = Surface Area = (3 × area of rectangle) + (2 × area of triangle) = (3 × 27) + (2 × 3.9) = + 248 MHR ● Chapter 5: Surface Area = The surface area of the right triangular prism is m 2 .
Name: _____________________________________________________ Date: ______________ Find the surface area of the right triangular prism. How many different-sized rectangles are there 7 cm 9.9 cm 7 cm 2 cm small rectangle 7 cm ______ cm A = l × w = 9.9 cm _______ cm = cm 2 large rectangle A = l × w = = cm 2 How many triangles of the same size are there cm A = (b × h) ÷ 2 = ( × ) ÷ 2 cm = ÷ 2 = cm 2 Surface Area = (2 × area of small rectangles) + (area of large rectangle) + (2 × area of triangle) = (2 × ) + + (2 × ) = + + ( ) = The surface area of the right triangular prism is cm 2 . 5.3 Surface Area of a Prism ● MHR 249
Page 1 and 2: CHAPTER 5 Surface Area GET READY 22
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CHAPTER Surface Area - School District #35

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