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Surface Area Calculator

Calculate the surface area of various 3D geometric shapes with step-by-step solutions

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Results

Select a 3D shape and enter dimensions to calculate surface area

Surface Area Formulas Reference

Basic 3D Shapes

Cube: SA = 6s²
s = side length
Rectangular Prism: SA = 2(lw + lh + wh)
l = length, w = width, h = height
Sphere: SA = 4πr²
r = radius

Cylindrical Shapes

Cylinder: SA = 2πr² + 2πrh
r = radius, h = height
Cone: SA = πr² + πr√(r² + h²)
r = radius, h = height
Hemisphere: SA = 3πr²
r = radius (including base)

Complex Shapes

Pyramid: SA = B + (1/2)Ps
B = base area, P = perimeter, s = slant height
Torus: SA = 4π²Rr
R = major radius, r = minor radius
Triangular Prism: SA = 2B + Ph
B = base area, P = perimeter, h = height