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Surface Area and Volume Formulas.pdf, Lecture notes of Analytical Geometry and Calculus

Edinburgh College of Art (ECA)Analytical Geometry and Calculus

Surface Area and Volume Equations for 3-Dimensional Figures. Cube. = 6 2. = 3. Rectangular Prism.

Typology: Lecture notes

2021/2022

Uploaded on 09/12/2022

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Surface Area and Volume Equations for 3-Dimensional Figures
Cube
๐‘†๐‘ข๐‘Ÿ๐‘“๐‘Ž๐‘๐‘’ ๐ด๐‘Ÿ๐‘’๐‘Ž = 6๐‘ 2
๐‘‰๐‘œ๐‘™๐‘ข๐‘š๐‘’ = ๐‘ 3
Rectangular Prism
๐‘†๐‘ข๐‘Ÿ๐‘“๐‘Ž๐‘๐‘’ ๐ด๐‘Ÿ๐‘’๐‘Ž = 2๐‘™๐‘ค + 2๐‘™โ„Ž + 2๐‘คโ„Ž
๐‘‰๐‘œ๐‘™๐‘ข๐‘š๐‘’ = ๐‘™๐‘คโ„Ž
Pyramid
๐‘‰๐‘œ๐‘™๐‘ข๐‘š๐‘’ = 1
3๐ตโ„Ž
๐ต = ๐‘Ž๐‘Ÿ๐‘’๐‘Ž ๐‘œ๐‘“ ๐‘กโ„Ž๐‘’ ๐‘๐‘Ž๐‘ ๐‘’
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s ๐‘™ w h Surface Area and Volume Equations for 3-Dimensional Figures Cube ๐‘†๐‘ข๐‘Ÿ๐‘“๐‘Ž๐‘๐‘’ ๐ด๐‘Ÿ๐‘’๐‘Ž = 6๐‘ ^2 ๐‘‰๐‘œ๐‘™๐‘ข๐‘š๐‘’ = ๐‘ ^3 Rectangular Prism ๐‘†๐‘ข๐‘Ÿ๐‘“๐‘Ž๐‘๐‘’ ๐ด๐‘Ÿ๐‘’๐‘Ž = 2๐‘™๐‘ค + 2๐‘™โ„Ž + 2๐‘คโ„Ž ๐‘‰๐‘œ๐‘™๐‘ข๐‘š๐‘’ = ๐‘™๐‘คโ„Ž Pyramid ๐‘‰๐‘œ๐‘™๐‘ข๐‘š๐‘’ = 1 3

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Cone ๐‘‰๐‘œ๐‘™๐‘ข๐‘š๐‘’ = 1 3

2 โ„Ž Cylinder ๐‘†๐‘ข๐‘Ÿ๐‘“๐‘Ž๐‘๐‘’ ๐ด๐‘Ÿ๐‘’๐‘Ž = 2๐œ‹๐‘Ÿ(๐‘Ÿ + โ„Ž) ๐‘‰๐‘œ๐‘™๐‘ข๐‘š๐‘’ = ๐œ‹๐‘Ÿ^2 โ„Ž Sphere ๐‘†๐‘ข๐‘Ÿ๐‘“๐‘Ž๐‘๐‘’ ๐ด๐‘Ÿ๐‘’๐‘Ž = 4๐œ‹๐‘Ÿ^2 ๐‘‰๐‘œ๐‘™๐‘ข๐‘š๐‘’ = 4 3

๐œ‹๐‘Ÿ^3

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