Total surface area for the common 3D shapes — sphere, cube, cuboid, cylinder, cone, pyramid, hemisphere, capsule — with volume shown alongside for reference.
Total surface area
0
Lateral surface (where applicable)
—
Volume
0
Shape
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Formulas
Sphere: SA = 4πr²; V = (4/3)πr³
Cube: SA = 6a²; V = a³
Cuboid: SA = 2(lw + lh + wh); V = lwh
Cylinder: SA = 2πr(r + h); lateral = 2πrh; V = πr²h
Cone: SA = πr(r + s), where s = √(r² + h²); V = (1/3)πr²h
Square pyramid: SA = a² + 2a·√((a/2)² + h²); V = a²h/3
Hemisphere: SA = 3πr² (curved 2πr² + base πr²); V = (2/3)πr³