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.

Surface Area of a Triangular Prism Calculator

surface area of a triangular prism calculator

a = side length a
b = side length b = bottom triangle base b
c = side length c
h = height of prism
H = height of bottom triangle
V = volume
Atot = total surface area = all sides
Alat = lateral surface area = all rectangular sides
Atop = top surface area = top triangle
Abot = bottom surface area = bottom triangle

A triangular prism is a geometric solid shape with a triangle as its base. It’s a three-sided prism where the base and top are equal triangles and the remaining 3 sides are rectangles.



Top Surface Area of a Triangular Prism Formula

Finds the area contained by the triangular surface at the top of the prism. This is the same area as the bottom surface area.

Atop=14(a+b+c)(b+ca)(c+ab)(a+bc)−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−√Atop=14(a+b+c)(b+c−a)(c+a−b)(a+b−c)

Bottom Surface Area of a Triangular Prism Formula

Finds the area contained by the triangular surface at the bottom of the prism. This is the same area as the top surface area.

Abot=14(a+b+c)(b+ca)(c+ab)(a+bc)−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−√Abot=14(a+b+c)(b+c−a)(c+a−b)(a+b−c)

Lateral Surface Area of a Triangular Prism Formula

Finds the total area contained by the three rectangular sides of the prism. You can think of the lateral surface area as the total surface area of the prism minus the two triangular areas at the top and bottom of the prism.

Alat=h(a+b+c)Alat=h(a+b+c)

Total Surface Area of a Triangular Prism Formula

Finds the total area of all sides of a triangular prism. Total surface area of a prism includes the area of the top and bottom triangle sides of the prism, plus the area of all 3 rectangular sides.

Atot=Atop+Abot+AlatAtot=Atop+Abot+Alat

Height of a Triangular Prism Formula in Terms of Volume

Finds the height of a triangular prism by solving the Volume Formula for height. Height, h, is calculated from volume, V, and side lengths a, b and c.

h=4V(a+b+c)(b+ca)(c+ab)(a+bc)−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−√h=4V(a+b+c)(b+c−a)(c+a−b)(a+b−c)

Height of a Triangular Prism Formula in Terms of Lateral Surface Area

Finds the height of a triangular prism by solving the Lateral Surface Area Formula for height. Height, h, is calculated from lateral surface area, Alat, and side lengths a, b and c.

h=Alat(a+b+c)



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

A=πr(r+h2+r2)

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

Circular Cone Formulas in terms of radius r and height h:
Volume of a cone:
V = (1/3)πr2h
Slant height of a cone:
s = √(r2 + h2)
Lateral surface area of a cone:
L = πrs = πr√(r2 + h2)
Base surface area of a cone (a circle):
B = πr2
Total surface area of a cone:
A = L + B = πrs + πr2 = πr(s + r) = πr(r + √(r2 + h2))



Cube Surface Area Calculator

Cube Surface Area Calculator

SA = 6a2
where a is edge length

SA = 6 × 42 = 96 in2



Surface Area of a Cylinder Calculator With Step

Surface Area of a Cylinder Formula A=2πrh+2πr2

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

.

 

 

 

 

 

 

 

 

by CC & CS

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
Converterbody surface area calculator, polygonal prism surface area calculator, square tube surface area calculator, Surface Area Calculator, surface area calculator calculus, surface area calculator circle, surface area calculator cylinder, surface area calculator triangular prism, triangular pyramid surface area calculator