Surface Area of Triangular Prism 3
Kim199
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57 slides
Oct 19, 2016
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About This Presentation
Step by step illustration on how to find surface area of triangular prism using Pythagoras theorem to find the lesser side involved.
Slide Content
Finding: Surface Area of Triangular Prism 3 - Mr Kim
Please view: Surface Area of Triangular Prism 1 & 2 Before you view this lesson
10 m 12 m 17 m
10 m 12 m Find the Area of all 5 Faces of this Prism 17 m
17 m 10 m 12 m Front Area is
17 m 10 m 12 m Front Area is
17 m 10 m 12 m Front Area is
17 m 10 m Front Area is ? 12 m
17 m 10 m ? We have to find that length 12 m
17 m 10 m We will call that unknown length x x 12 m
17 m 10 m To find x we need to use Pythagoras theorem x 12 m
17 m 10 m 12 m x To do this focus on this Triangle here
17 m 10 m 12 m x We need this length
17 m 10 m 12 m x And this length
17 m 10 m 12 m x Now if it’s 10 m here
17 m 10 m 12 m x 10 m It’s 10 m there as well
17 m 10 m 12 m x 10 m Now this length
17 m 10 m 12 m x 10 m This length is half of…
17 m 10 m 12 m x 10 m 12 m This whole length
17 m 10 m 12 m x 10 m 12 m This whole length
17 m 10 m 12 m x 10 m 12 m So 12 ÷ 2 =
17 m 10 m 12 m x 10 m 12 m So 12 ÷ 2 = 6 m 6 m
17 m 10 m 12 m x 10 m 6 m Now if we use Pythagoras theorem we will get…
17 m 10 m 12 m x 10 m 6 m x Now if we use Pythagoras theorem we will get…
17 m 10 m 12 m x 10 m 6 m x squared
17 m 10 m 12 m x 10 m 6 m x Equals
17 m 10 m 12 m x 6 m x 10 m 10²
17 m 10 m 12 m x 6 m x 10 m The Hypotenuse (10) must be written first
17 m 10 m 12 m x 6 m x 10 m The Hypotenuse (10) must be written first not 6
17 m 10 m 12 m x 6 m x 10 m 10 m Now x is not the longest side of the triangle
17 m 10 m 12 m x 6 m x 10 m 10 m This side is.
17 m 10 m 12 m x 6 m x 10 m 10 m So we MINUS
17 m 10 m 12 m x x 10 m 10 m 6 m 6²
17 m 10 m 12 m x x 10 m 10 m 6 m so x equals…
17 m 10 m 12 m x x 10 m 10 m 6 m so x equals…
17 m 10 m 12 m x x 10 m 10 m 6 m Putting this in the calculator gives…
17 m 10 m 12 m x x 10 m 10 m 6 m
17 m 10 m 12 m x x 10 m 10 m 6 m
17 m 10 m 12 m x x 10 m 10 m 6 m
17 m 10 m 10 m 6 m 12 m 8 m
17 m 10 m 10 m 6 m 12 m 8 m So this is the area of the Front face
17 m 10 m 10 m 6 m 12 m 8 m Now the Back is the same as the Front…
17 m 10 m 10 m 6 m 12 m 8 m So times by 2
17 m 10 m 10 m 6 m 12 m 8 m Now find the area of the Right Side
17 m 10 m 10 m 6 m 12 m 8 m Add that on
17 m 10 m 10 m 6 m 12 m 8 m The Right Side is a Rectangle
17 m 10 m 10 m 6 m 12 m 8 m The Right Side is a Rectangle
17 m 10 m 10 m 6 m 12 m 8 m The Right Side is a Rectangle
17 m 10 m 10 m 6 m 12 m 8 m Now find the area of the Left Side
17 m 10 m 10 m 6 m 12 m 8 m The Left Side is the same as the Right Side
17 m 10 m 10 m 6 m 12 m 8 m So times by 2
17 m 10 m 10 m 6 m 12 m 8 m And finally find the Bottom Area
17 m 10 m 10 m 6 m 12 m 8 m Add that on
17 m 10 m 10 m 6 m 12 m 8 m Bottom Area
17 m 10 m 10 m 6 m 12 m 8 m Bottom Area
17 m 10 m 10 m 6 m 12 m 8 m Putting this altogether in the calculator gives…
17 m 10 m 10 m 6 m 12 m 8 m Our Final Answer! Putting this altogether in the calculator gives…
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