Surface Area Formulas for 3D Shapes

• Surface area formulas for different 3D shapes are summarized

Cube

• Lateral surface area for a cube is ( 4a^2 ), where ( a ) is the side length
• Total surface area: ( 6a^2 )

Cuboid

• Lateral surface area for a cuboid is ( 2h(l + b) ), where ( l ) is the length, ( b ) is the breadth, and ( h ) is the height
• Total surface area: ( 2(lb + bh + hl) )

Cone

• Curved surface area: ( \pi r l ), where ( r ) is the radius of the base and ( l ) is the slant height
• Total surface area: ( \pi r(l + r) )

Cylinder

• Curved surface area for a cylinder is ( 2\pi r h ), where ( r ) is the radius of the base and ( h ) is the height
• Total surface area: ( 2\pi r(r + h) )

Sphere

• Surface area for a sphere is ( 4\pi r^2 ), where ( r ) is the radius

Hemisphere

• Curved surface area for a hemisphere is ( 2\pi r^2 ), where ( r ) is the radius
• Total surface area: ( 3\pi r^2 )

Prism

• Lateral surface area: Perimeter of base x height
• Total surface area: Lateral surface area + 2(area of the base)

Pyramid

• Lateral surface area: 1/2 x Perimeter of base x slant height
• Total surface area: Lateral Surface area + area of the base