Choose the shape and enter its dimensions to find the surface area of that shape.
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This surface area calculator estimates the total surface area occupied by common 3D shapes. To find the dimensions of these shapes, our tool applies different equations. Furthermore, surface area calculations can help across various fields like aerodynamics, education, engineering, architecture, and design.
Surface area is determined by adding the areas of every face or surface of an object. In geometric shapes, the surface area can be computed using specific formulas tailored for each shape.
The formula used to find the surface area of a capsule is:
SA = 4πr² + 2πrh
Where:
Total SA = πr² + πr√(r² + h²)
The formula for the Surface area Conical Frustum is given below:
Area of the Conical Frustum = Circle Top + Circular Bottom
Circle top = π r²
Circular bottom = π R²
So,
SA = π(R + r) * l + πR² + πr²
Where:
SA = 6a²
Where:
total SA = 2πr(r + h)
Surface area of the Hemisphere = Curved surface area of hemisphere + circular base area
Then;
Surface area of the Hemisphere = 2πr² + πr² = 3πr² square units
S = 2 ( lh + lw + wh )
Where:
The surface area (SA) of a sphere can be calculated using the equation:
SA = 4πr² = π * d²
Spherical cap SA = 2πRh
Surface area = bh + (a + b + c) H
Where:
Surface Area = l × √(l² + 4 × h²) + l²
Where:
A ball is a spherical object, so its surface area can be calculated using this formula.
Surface Area = 4πr²
S = 4π * [(ab)^1.6 + (ac)^1.6 + (bc)^1.6]^(1/1.6) / 3
Where:
Shape |
Formula |
Capsule |
SA = 4πr² + 2πrh |
Cone |
SA = πr² + πr√(r² + h²) |
Conical Frustum |
SA = π(R + r) * l + πR² + πr² |
Cube |
SA = 6a² |
Cylinder |
SA = 2πr(r + h) |
Hemisphere |
SA = 2πr² + πr² = 3πr² square units |
Rectangular prism (cuboid) |
SA = 2 ( lh + lw + wh ) |
Sphere |
SA = 4πr² = π * d² |
Spherical cap |
SA = 2πRh |
Triangular prism |
SA = bh + (a + b + c)H |
Pyramid |
SA = l × √(l² + 4 × h²) + l² |
Ball Surface Area |
SA = 4πr² |
Ellipsoid Surface Area |
SA = 4π * [(ab)^1.6 + (ac)^1.6 + (bc)^1.6]^(1/1.6) / 3 |
The surface area is the total area of the outer side of the 3D objects while the volume is the measure of space inside that object.
Surface area is measured in the following units including square centimeters (cm²), square millimeters (mm)², square meters (m²), square inches (in²), square feet (ft²), and square yards (yd²).
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