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## Surface area (A) of Star Pyramid Solution

STEP 0: Pre-Calculation Summary
Formula Used
area_polyhedron = ((sqrt(5*(5-2*sqrt(5))))*(Side A^2)/2)+(10*(sqrt(((Length+Length 1+Length 2)/2)*(((Length+Length 1+Length 2)/2)-Length)*(((Length+Length 1+Length 2)/2)-Length 1)*(((Length+Length 1+Length 2)/2)-Length 2))))
A = ((sqrt(5*(5-2*sqrt(5))))*(a^2)/2)+(10*(sqrt(((l+l1+L2)/2)*(((l+l1+L2)/2)-l)*(((l+l1+L2)/2)-l1)*(((l+l1+L2)/2)-L2))))
This formula uses 1 Functions, 4 Variables
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
Side A - Side A is an upright or sloping surface of a structure or object that is not the top or bottom and generally not the front or back. (Measured in Meter)
Length - Length is the measurement or extent of something from end to end. (Measured in Meter)
length 1 - Length 1 is the length of the first body. (Measured in Meter)
length 2 - Length 2 is the length of the second body/abject/section (Measured in Meter)
STEP 1: Convert Input(s) to Base Unit
Side A: 8 Meter --> 8 Meter No Conversion Required
Length: 3 Meter --> 3 Meter No Conversion Required
length 1: 1 Meter --> 1 Meter No Conversion Required
length 2: 1 Meter --> 1 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
A = ((sqrt(5*(5-2*sqrt(5))))*(a^2)/2)+(10*(sqrt(((l+l1+L2)/2)*(((l+l1+L2)/2)-l)*(((l+l1+L2)/2)-l1)*(((l+l1+L2)/2)-L2)))) --> ((sqrt(5*(5-2*sqrt(5))))*(8^2)/2)+(10*(sqrt(((3+1+1)/2)*(((3+1+1)/2)-3)*(((3+1+1)/2)-1)*(((3+1+1)/2)-1))))
Evaluating ... ...
A = NaN
STEP 3: Convert Result to Output's Unit
NaN Square Meter --> No Conversion Required
NaN Square Meter <-- area polyhedron
(Calculation completed in 00.031 seconds)

## < 11 Other formulas that you can solve using the same Inputs

Area of a Triangle when sides are given
area = sqrt((Side A+Side B+Side C)*(Side B+Side C-Side A)*(Side A-Side B+Side C)*(Side A+Side B-Side C))/4 Go
radius_of_inscribed_circle = sqrt((Semiperimeter Of Triangle-Side A)*(Semiperimeter Of Triangle-Side B)*(Semiperimeter Of Triangle-Side C)/Semiperimeter Of Triangle) Go
Area of Triangle when semiperimeter is given
area_of_triangle = sqrt(Semiperimeter Of Triangle*(Semiperimeter Of Triangle-Side A)*(Semiperimeter Of Triangle-Side B)*(Semiperimeter Of Triangle-Side C)) Go
Surface Area of a Rectangular Prism
surface_area = 2*(Length*Width+Length*Height+Width*Height) Go
radius_of_circumscribed_circle = (Side A*Side B*Side C)/(4*Area Of Triangle) Go
Area of a Rectangle when length and diagonal are given
area = Length*(sqrt((Diagonal)^2-(Length)^2)) Go
Perimeter of Triangle
perimeter_of_triangle = Side A+Side B+Side C Go
Perimeter of a Parallelogram
perimeter = 2*Side A+2*Side B Go
Perimeter of a rectangle when length and width are given
perimeter = 2*Length+2*Width Go
Area of a Rectangle when length and breadth are given
Area of a Square when side is given
area = (Side A)^2 Go

## < 11 Other formulas that calculate the same Output

Surface area (A) of Obtuse Edged Cuboid given Inner length (a') & Cut width is missing
area_polyhedron = 2*((Length*Width)+(Width*Height)+(Height*Length)+((2*((Length-Length 1)/sqrt(2)))*(Length+Width+Height))+(3*(((Length-Length 1)/sqrt(2))^2))) Go
Surface area (A) of Obtuse Edged Cuboid given Inner width (b') & Cut width is missing
area_polyhedron = 2*((Length*Width)+(Width*Height)+(Height*Length)+((2*((Width-Width 1)/sqrt(2)))*(Length+Width+Height))+(3*(((Width-Width 1)/sqrt(2))^2))) Go
Surface area (A) of Obtuse Edged Cuboid given Inner height (c') & Cut width is missing
area_polyhedron = 2*((Length*Width)+(Width*Height)+(Height*Length)+((2*((Height-Height of column1)/sqrt(2)))*(Length+Width+Height))+(3*(((Height-Height of column1)/sqrt(2))^2))) Go
Surface area (A) of Ingot
area_polyhedron = (Length*Width)+(Length 1*Width 1)+(slant Length*(Length+Length 1))+(slant Length 1*(Width+Width 1)) Go
Surface area (A) of Obtuse Edged Cuboid
area_polyhedron = 2*((Length*Width)+(Width*Height)+(Height*Length)+((2*Width 2)*(Length+Width+Height))+(3*Width 2^2)) Go
Surface area (A) of Corner of a Cube given Edge length a,Edge length b,Edge length c,Height (h)
area_polyhedron = ((Side A*Side B)/2)+((Side B*Side C)/2)+((Side A*Side C)/2)+((Side A*Side B*Side C)/(2*Height)) Go
Surface area (A) of Corner of a Cube when Edge length a is missing
area_polyhedron = ((Side B*Side C)/2)+(3*Volume/Side C)+(3*Volume/Side B)+(3*Volume/Height) Go
Surface area (A) of Corner of a Cube when Edge length b is missing
area_polyhedron = ((Side A*Side C)/2)+(3*Volume/Side C)+(3*Volume/Side A)+(3*Volume/Height) Go
Surface area (A) of Corner of a Cube when Edge length c is missing
area_polyhedron = ((Side B*Side A)/2)+(3*Volume/Side A)+(3*Volume/Side B)+(3*Volume/Height) Go
Surface area (A) of Skewed Three-Edged Prism
area_polyhedron = Area of cross section at the inlet+Area of cross section at the Throat+area 3+area 4+area 5 Go
Surface area (A) of Elongated Dodecahedron given Edge length (a)
area_polyhedron = 2*sqrt(3)*(3+sqrt(5))*(Length^2) Go

### Surface area (A) of Star Pyramid Formula

area_polyhedron = ((sqrt(5*(5-2*sqrt(5))))*(Side A^2)/2)+(10*(sqrt(((Length+Length 1+Length 2)/2)*(((Length+Length 1+Length 2)/2)-Length)*(((Length+Length 1+Length 2)/2)-Length 1)*(((Length+Length 1+Length 2)/2)-Length 2))))
A = ((sqrt(5*(5-2*sqrt(5))))*(a^2)/2)+(10*(sqrt(((l+l1+L2)/2)*(((l+l1+L2)/2)-l)*(((l+l1+L2)/2)-l1)*(((l+l1+L2)/2)-L2))))

## What is Pyramid?

A pyramid is a structure whose outer surfaces are triangular and converge to a single step at the top, making the shape roughly a pyramid in the geometric sense. The base of a pyramid can be trilateral, quadrilateral, or of any polygon shape. As such, a pyramid has at least three outer triangular surfaces.

## How to Calculate Surface area (A) of Star Pyramid?

Surface area (A) of Star Pyramid calculator uses area_polyhedron = ((sqrt(5*(5-2*sqrt(5))))*(Side A^2)/2)+(10*(sqrt(((Length+Length 1+Length 2)/2)*(((Length+Length 1+Length 2)/2)-Length)*(((Length+Length 1+Length 2)/2)-Length 1)*(((Length+Length 1+Length 2)/2)-Length 2)))) to calculate the area polyhedron, The Surface area (A) of Star Pyramid formula is defined as an amount of space occupied by Star Pyramid in given plane. area polyhedron and is denoted by A symbol.

How to calculate Surface area (A) of Star Pyramid using this online calculator? To use this online calculator for Surface area (A) of Star Pyramid, enter Side A (a), Length (l), length 1 (l1) and length 2 (L2) and hit the calculate button. Here is how the Surface area (A) of Star Pyramid calculation can be explained with given input values -> NaN = ((sqrt(5*(5-2*sqrt(5))))*(8^2)/2)+(10*(sqrt(((3+1+1)/2)*(((3+1+1)/2)-3)*(((3+1+1)/2)-1)*(((3+1+1)/2)-1)))).

### FAQ

What is Surface area (A) of Star Pyramid?
The Surface area (A) of Star Pyramid formula is defined as an amount of space occupied by Star Pyramid in given plane and is represented as A = ((sqrt(5*(5-2*sqrt(5))))*(a^2)/2)+(10*(sqrt(((l+l1+L2)/2)*(((l+l1+L2)/2)-l)*(((l+l1+L2)/2)-l1)*(((l+l1+L2)/2)-L2)))) or area_polyhedron = ((sqrt(5*(5-2*sqrt(5))))*(Side A^2)/2)+(10*(sqrt(((Length+Length 1+Length 2)/2)*(((Length+Length 1+Length 2)/2)-Length)*(((Length+Length 1+Length 2)/2)-Length 1)*(((Length+Length 1+Length 2)/2)-Length 2)))). Side A is an upright or sloping surface of a structure or object that is not the top or bottom and generally not the front or back, Length is the measurement or extent of something from end to end, Length 1 is the length of the first body and Length 2 is the length of the second body/abject/section.
How to calculate Surface area (A) of Star Pyramid?
The Surface area (A) of Star Pyramid formula is defined as an amount of space occupied by Star Pyramid in given plane is calculated using area_polyhedron = ((sqrt(5*(5-2*sqrt(5))))*(Side A^2)/2)+(10*(sqrt(((Length+Length 1+Length 2)/2)*(((Length+Length 1+Length 2)/2)-Length)*(((Length+Length 1+Length 2)/2)-Length 1)*(((Length+Length 1+Length 2)/2)-Length 2)))). To calculate Surface area (A) of Star Pyramid, you need Side A (a), Length (l), length 1 (l1) and length 2 (L2). With our tool, you need to enter the respective value for Side A, Length, length 1 and length 2 and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate area polyhedron?
In this formula, area polyhedron uses Side A, Length, length 1 and length 2. We can use 11 other way(s) to calculate the same, which is/are as follows -
• area_polyhedron = ((Side A*Side B)/2)+((Side B*Side C)/2)+((Side A*Side C)/2)+((Side A*Side B*Side C)/(2*Height))
• area_polyhedron = ((Side B*Side C)/2)+(3*Volume/Side C)+(3*Volume/Side B)+(3*Volume/Height)
• area_polyhedron = ((Side A*Side C)/2)+(3*Volume/Side C)+(3*Volume/Side A)+(3*Volume/Height)
• area_polyhedron = ((Side B*Side A)/2)+(3*Volume/Side A)+(3*Volume/Side B)+(3*Volume/Height)
• area_polyhedron = (Length*Width)+(Length 1*Width 1)+(slant Length*(Length+Length 1))+(slant Length 1*(Width+Width 1))
• area_polyhedron = Area of cross section at the inlet+Area of cross section at the Throat+area 3+area 4+area 5
• area_polyhedron = 2*((Length*Width)+(Width*Height)+(Height*Length)+((2*Width 2)*(Length+Width+Height))+(3*Width 2^2))
• area_polyhedron = 2*((Length*Width)+(Width*Height)+(Height*Length)+((2*((Length-Length 1)/sqrt(2)))*(Length+Width+Height))+(3*(((Length-Length 1)/sqrt(2))^2)))
• area_polyhedron = 2*((Length*Width)+(Width*Height)+(Height*Length)+((2*((Width-Width 1)/sqrt(2)))*(Length+Width+Height))+(3*(((Width-Width 1)/sqrt(2))^2)))
• area_polyhedron = 2*((Length*Width)+(Width*Height)+(Height*Length)+((2*((Height-Height of column1)/sqrt(2)))*(Length+Width+Height))+(3*(((Height-Height of column1)/sqrt(2))^2)))
• area_polyhedron = 2*sqrt(3)*(3+sqrt(5))*(Length^2) Let Others Know