Total boundary area of a 3D solid region
SurfaceArea[reg]
SurfaceArea[{x1, …, xn}, {s, smin, s smax}, {t, tmin, tmax}, {u, umin, umax}]
SurfaceArea[{x1, …, xn}, {s, smin, s smax}, {t, tmin, tmax}, {u, umin, umax}, chart]
SurfaceArea[Ball[]]
→ 4*PiSurfaceArea[Ball[{Subscript[c, x], Subscript[c, y], Subscript[c, z]}, r]]
→ 4*Pi*r^2SurfaceArea[Cuboid[{Subscript[l, x], Subscript[l, y], Subscript[l, z]}, {Subscript[u, x], Subscript[u, y], Subscript[u, z]}]]
→ 2*(Abs[(-Subscript[l, x] + Subscript[u, x])*(-Subscript[l, y] + Subscript[u, y])] + Abs[(-Subscript[l, x] + Subscript[u, x])*(-Subscript[l, z] + Subscript[u, z])] + Abs[(-Subscript[l, y] + Subscript[u, y])*(-Subscript[l, z] + Subscript[u, z])])- AccuracyGoal — default Infinity
- Assumptions — default $Assumptions
- GenerateConditions — default Automatic
- PerformanceGoal — default $PerformanceGoal
- PrecisionGoal — default Automatic
- WorkingPrecision — default Automatic