List of All 3d-shapes Formulas

All 3d-shapes Formulas List

Surface Area of a Triangular Pyramid

Formula:

Surface Area (SA) = ((ab) + (3bl)) / 2


Where,

a = Apothem Length
b = Length of Side
l = Slant Height

Triangular Pyramid Calculator

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Surface Area of a Square Pyramid

Formula:

Surface Area = b2 + 2bl


Where,

b = Base
l = Slant Height

Square Pyramid Calculator

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Volume of a Rectangular Hopper

Formula:

V = (H / 3) [(X2Y - x2y) / (X - x)]


Where,

V = Volume
H = Height between Bases
X = Length of Upper Rectangular Base
Y = Width of Upper Rectangular Base
x = Length of Lower Rectangular Base
y = Width of Lower Rectangular Base

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Circular Based Tapered Hopper Volume

Formula:

v = (π H / 12) [D2 + Dd + d2]


Where,

V = Volume
H = Height between Bases
D = Diameter of the Upper Circular Base
d = Diameter of the Lower Circular Base

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Height of a Cylinder

Formula:

cylinder


Height = v / (π × r2)

v = Volume
r= Radius

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Volume of a Frustum of a Regular Pyramid

Formula:

Frustum of a Regular Pyramid

V = (h/3)×(a+b+√(a×b))


Where,

V = Volume
H = Altitude
A = Lower Base Area
B = Upper Base Area

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Total Surface Area of Elliptical Cylinder

Formula:

elliptical-cylindar    

Total Surface Area = (π × (A + B) × h) + (2 × π × A × B)


Where,

t = Total surface area
A= Semi Major Axis
B= Semi Minor Axis
h = Height

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Lateral Surface Area of Elliptical Cylinder

Formula:

elliptical-cylindar


Lateral Surface Area = h × 2 × π × √((1/2) × ((A × A) + (B × B)))


Where,

h = Height
A = Semi Major axis
B = Semi Minor Axis

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Curved Surface Area of Elliptical Cylinder

Formula:

elliptical-cylindar


Curved surface area = π × H × (A + B)


Where,

H = Height
A = Semi-Major Axis
B = Semi-Minor Axis

Related Calculator:

Volume of Elliptical Cylinder

Formula:

elliptical-cylindar


Volume (V) = π × A × B × h


Where,

A = Semi-Major Axis
B = Semi-Minor Axis
h = Height

Related Calculator:

Surface Area of Conical Cylinder

Formula:

conical_cylinder
Surface Area (SA) = (2 × π × r × h) + ((π × r) × (r+ (√(c2 + r2))))+(π × r2)


Where,

r = Radius
h = Cylinder Height
c = Cone Height

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Lateral Surface Area of Conical Cylinder

Formula:

conical_cylinder      
Lateral Surface Area = π × 2 × r × h


Where,

r= Radius
h = Height

Related Calculator:

Volume of a Conical Cylinder

Formula:

conical_cylinder          
Volume (V) = (π ×r × r × h) + ((1/3) × (π × r × r × c))


Where,

r = Radius
c = Cone Height
h =Cylinder Height

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Radius of Cone

Formula:

r = √(3v / πh)


Where,

r = Radius of Cone
v = Volume of Cone
h = Height of Cone

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Truncated Pyramid Volume

Formula:

V = (H / 3) × (A² + A × B + B²)


Where,

V = Volume of an Incomplete Pyramid
H = Height
A = Base Side
B = Top Side

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Diagonal of a Cube

Formula:

d = √3a


Where,

d = Diagonal of Cube
a = Edge of Cube

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Circumference to Volume

Formula:

V = C3 / 6 π2


Where,

C = Circumference Sphere
V = Volume of Sphere

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CSA of Cube

Formula:

CSA = L2


Where,

CSA = Cross Section Area of Cube
L = Length of Cube

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Total Surface Area and Volume of Box

Formula:

a = hw
b = hl
c = wl
SA = 2[a + b + c]
V = hwl


Where,

h = Height of Box
l = Length of Box
w = Width of Box
SA = Total Surface Area of Box
V = Volume of Box

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Base Area of a Triangular Prism

Formula:

Base Area = ( 1 / 2 ) × l × b


Where,

l = Triangle Height
b = Base Length

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Surface Area of a Triangular Prism

Formula:

Surface Area = ( Base × Height ) + ( ( Side1 + Side2 + Side3 ) × Prism Height )

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Insphere Radius of Octahedron

Formula:

Octahedron

I = A × √(6) / 6


Where,

I = Insphere Radius
A = Edge Length

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Mid Sphere Radius of Octahedron

Formula:

Octahedron

M = A / 2


Where,

M = Midsphere Radius
A = Edge Length

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Surface to Volume Ratio Octahedron

Formula:

Octahedron

S = 3 × √(6) / A


Where,

S = Surface to Volume Ratio
A = Edge Length

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Diagonal of Octahedron

Formula:

Octahedron

D = √(2) × a


Where,

D = Diagonal
A = Edge Length

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Edge Length of Octahedron

Formula:

Octahedron

A = √(E/2/√3)


Where,

E = Surface Area
A = Edge Length

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Center of Gravity of Cone

Formula:

g = h / 4


Where,

g = Center of Gravity
h = Height of Cone

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Base Area of a Square Pyramid

Formula:

b = a²


Where,

b = Base Surface Area
a = Side length

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Volume of a Square Pyramid

Formula:

v = (1 / 3) × a² × h


Where,

a = Side Length
h = Height
v = Volume

Related Calculator:

Truncated Square Pyramid

Formula:

Truncated Height = h (1 - ( b / a ) )
Total Surface Area = a2 + b2 + ( a2 - b2 ) √( 1+ ( 4 h2 / a2 ) )


Where,

a = Base
b = Truncated Base
h = Total Height

Related Calculator:


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