Unit 6: Perimeter and Area

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Presentation transcript:

Unit 6: Perimeter and Area Final Exam Review

Topics to cover Perimeter Circumference Area Surface Area

Perimeter Perimeter – SUM of all sides of a POLYGON TRIANGLE– ADD up all 3 sides RECTANGLE– 2 pairs of EQUAL sides SQUARE– all 4 sides are EQUAL

Perimeter You Try! 1. 2. 3.

Circumference Circumference – The distance around the edge of a CIRCLE. Formula: 𝑪= 𝝅∙𝒅 𝒅=𝒅𝒊𝒂𝒎𝒆𝒕𝒆𝒓 Example C = 𝝅 ∙𝟏𝟖 𝑨𝒏𝒔𝒘𝒆𝒓: 𝑪=𝟓𝟔.𝟓𝒊𝒏

Circumference You Try 1. 2.

Area Area – the space INSIDE of a 2D shape. Formulas Triangle: 𝐴= 𝑏 ∙ℎ 2 Rectangle: 𝐴=𝑏∙ℎ Square: 𝐴= 𝑠 2 Circle: 𝐴= 𝜋 ∙ 𝑟 2  

Area Formulas Triangle: 𝐴= 𝑏 ∙ℎ 2 Rectangle: 𝐴=𝑏∙ℎ Square: 𝐴= 𝑠 2 Circle: 𝐴= 𝜋 ∙ 𝑟 2   You try! 1. 2. 3. 4.

Surface Area Surface Area: The SUM of the area of each SURFACE in a 3D shape Formulas Cube: 𝑆𝐴= 6 𝑠 2 Rectangular Prism: 𝑆𝐴=2𝑙𝑤+2𝑙ℎ+2𝑤ℎ Triangular Prism: 𝑆𝐴=𝑏ℎ+𝑏𝑤+𝑤ℎ+𝑤𝑙 Cone: 𝑆𝐴= 𝜋 𝑟 2 + 𝜋𝑟𝑙 Cylinder: 𝑆𝐴=2𝜋 𝑟 2 + 𝜋𝑑ℎ Sphere: 𝑆𝐴=4 𝜋𝑟 2  

Surface Area You Try! 1. 2. Formulas Cube: 𝑆𝐴= 6 𝑠 2 Rectangular Prism: 𝑆𝐴=2𝑙𝑤+2𝑙ℎ+2𝑤ℎ Triangular Prism: 𝑆𝐴=𝑏ℎ+𝑏𝑤+𝑤ℎ+𝑤𝑙 Cone: 𝑆𝐴= 𝜋 𝑟 2 + 𝜋𝑟𝑙 Cylinder: 𝑆𝐴=2𝜋 𝑟 2 + 𝜋𝑑ℎ Sphere: 𝑆𝐴=4 𝜋𝑟 2   Surface Area You Try! 1. 2.

Surface Area You Try! 3. 4. Formulas Cube: 𝑆𝐴= 6 𝑠 2 Rectangular Prism: 𝑆𝐴=2𝑙𝑤+2𝑙ℎ+2𝑤ℎ Triangular Prism: 𝑆𝐴=𝑏ℎ+𝑏𝑤+𝑤ℎ+𝑤𝑙 Cone: 𝑆𝐴= 𝜋 𝑟 2 + 𝜋𝑟𝑙 Cylinder: 𝑆𝐴=2𝜋 𝑟 2 + 𝜋𝑑ℎ Sphere: 𝑆𝐴=4 𝜋𝑟 2   Surface Area You Try! 3. 4.

Surface Area You Try! 1. 2. Formulas Cube: 𝑆𝐴= 6 𝑠 2 Rectangular Prism: 𝑆𝐴=2𝑙𝑤+2𝑙ℎ+2𝑤ℎ Triangular Prism: 𝑆𝐴=𝑏ℎ+𝑏𝑤+𝑤ℎ+𝑤𝑙 Cone: 𝑆𝐴= 𝜋 𝑟 2 + 𝜋𝑟𝑙 Cylinder: 𝑆𝐴=2𝜋 𝑟 2 + 𝜋𝑑ℎ Sphere: 𝑆𝐴=4 𝜋𝑟 2   Surface Area You Try! 1. 2.

ALL DONE