Surface Area Calculator

Surface Area Calculator The surface area of a solid is a measure of the total area occupied by the surface of an object. All of the objects addressed in this calculator are described in more detail on the Volume Calculator and Area Calculator pages.

What is the formula for the surface area?

We can also label the length (l), width (w), and height (h) of the prism and use the formula, SA=2lw+2lh+2hw, to find the surface area.



Sphere Surface Area Calculator

Sphere Surface Area Calculator

SA = 4πr2
where r is the radius

SA = 4 × π × 0.3252 = 1.327 in2




Cone Surface Area Calculator

Cone Surface Area Calculator

base SA = πr2
lateral SA = πr√r2 + h2
total SA = πr(r + √r2 + h2)
where r is radius and h is height

lateral SA = π × 0.4√0.42 + 0.52 = 0.805 ft2




Cube Surface Area Calculator

Cube Surface Area Calculator

SA = 6a2
where a is edge length

SA = 6 × 42 = 96 in2

Cylindrical Tank Surface Area Calculator

Cylindrical Tank Surface Area Calculator

base SA = 2πr2
lateral SA = 2πrh
total SA = 2πr(r + h) where r is radius and h is height

total SA = 2π × 3.5(3.5 + 5.5) = 197.920 ft2

Rectangular Tank

Rectangular Tank Surface Area Calculator

SA = 2lw + 2lh + 2wh
where l is length, w is width, and h is height

SA = (2 × 3 × 4) + (2 × 4 × 5) + (2 × 3 × 5) = 94 ft2




Capsule Surface Area Calculator

Capsule Surface Area Calculator

SA = 4πr2 + 2πrh
where r is radius and h is height

SA = 4π × 0.052 + 2π × 0.05 × 0.5 = 0.188 in2

Spherical Cap Surface Area Calculator

Spherical Cap Surface Area Calculator

spherical cap SA = 2πRh
base SA = πr2
Total solid sphere SA = 2πRh + πr2
where R is spherical cap radius, r is base radius, and h is height

SA = 2π × 0.80 × 0.53 = 2.664 ft2

Conical Frustum Surface Area Calculator

Conical Frustum Surface Area Calculator

circular end SA = π(R2 + r2)
lateral SA = π(R+r)√(R-r)2 + h2
total SA = π(R2 + r2) + π(R+r)√(R-r)2 + h2
where R and r are radii of the ends, h is the height

total SA = π(12 + 0.32) + π(1 + 0.3) √(1 – 0.3)2 + 1.52 = 10.185 ft2

Ellipsoid

Ellipsoid Surface Area Calculator

SA ≈ 4π 1.6√(a1.6b1.6 + a1.6c1.6 + b1.6c1.6)/3
where ab, and c are the axes of the ellipse

SA ≈ 4π 1.6√(0.11.60.21.6 + 0.11.60.351.6 + 0.21.60.351.6)/3 = 0.562 in2

Square Pyramid

Square Pyramid Surface Area Calculator

base SA = a2
lateral SA = 2a√(a/2)2 + h2
total SA = a2 + 2a√(a/2)2 + h2

total SA = 32 + 2 × 3√(3/2)2 + 52 = 40.321 ft2

Common Area Units

Unit meter2
kilometer2 1,000,000
centimeter2 0.0001
millimeter2 0.000001
micrometer2 0.000000000001
hectare 10,000
mile2 2,589,990
yard2 0.83613
foot2 0.092903
inch2 0.000645

 

 

 

 

 

 

 

 

MG to ML

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What is normal body surface area?

The “normal” body surface area is generally taken to be 1.7 m2 but, in actual fact, the body surface area depends on more than just height and weight. Other influential factors include the age and gender of the individual. For example: Average body surface area for adult men: 1.9 m2