3D Geometry Formula

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3D Geometry Formula Cube Volume= a 3 [a=side of a cube] Total surface area= 6a 2 Longest Diagonal of the cube= a√3 Cuboid Volume= l*b*h [where l=length b=breadth h=height] Total surface area= 2*[l*b ! b*h ! l*h] Longest Diagonal= √ "l 2 ! b 2 ! h 2 # Cylinder Volume= $r 2 h %ur&ed surface area'lateral surface area= 2$rh Total surface area= 2$r*"r!h# Hollow Cylinder Volume= $*"( 2 ) r 2 #*h Total surface area= 2$(h ! 2$rh ! 2$* "( 2 r 2 # Cone Volume= +'3 * $ * r 2 * h %ur&ed ,urface -rea= $rl Total ,urface -rea= $r*"r!l# Sphere Volume= .'3 * $ * r 3 Total ,urface -rea= .$r 2 Hemisphere Volume= 2'3 * $ * r 3 Total ,urface -rea= 3$r 2

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Solid Geometry

Transcript of 3D Geometry Formula

3D Geometry Formula

Cube

Volume= a3 [a=side of a cube]Total surface area= 6a2

Longest Diagonal of the cube= a√3

Cuboid

Volume= l*b*h [where l=length b=breadth h=height] Total surface area= 2*[l*b ! b*h ! l*h]Longest Diagonal= √ "l2 ! b2 ! h2#

Cylinder

Volume= $r 2h%ur&ed surface area'lateral surface area= 2$rhTotal surface area= 2$r*"r!h#

Hollow Cylinder

Volume= $*"( 2 ) r 2#*hTotal surface area= 2$(h ! 2$rh ! 2$* "( 2 r 2#

Cone

Volume= +'3 * $ * r 2 * h%ur&ed ,urface -rea= $rlTotal ,urface -rea= $r*"r!l#

Sphere

Volume= .'3 * $ * r 3

Total ,urface -rea= .$r 2

Hemisphere

Volume= 2'3 * $ * r 3

Total ,urface -rea= 3$r 2