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Surface-to-volume ratio (A/V) of Star Pyramid when Height (h) is missing and Point edge (s) is given Solution

STEP 0: Pre-Calculation Summary
Formula Used
surface_to_volume_ratio = (((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)))))/(((sqrt(5*(5-2*sqrt(5))))*(Side A^2/6))*(sqrt(Length 1-((Side A^2/100)*(50+10*sqrt(5))))))
r = (((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))))*(a^2/6))*(sqrt(l1-((a^2/100)*(50+10*sqrt(5))))))
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
r = (((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))))*(a^2/6))*(sqrt(l1-((a^2/100)*(50+10*sqrt(5)))))) --> (((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)))))/(((sqrt(5*(5-2*sqrt(5))))*(8^2/6))*(sqrt(1-((8^2/100)*(50+10*sqrt(5))))))
Evaluating ... ...
r = NaN
STEP 3: Convert Result to Output's Unit
NaN Hundred --> No Conversion Required
FINAL ANSWER
NaN Hundred <-- surface to volume ratio
(Calculation completed in 00.033 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
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
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 = Length*Breadth Go
Area of a Square when side is given
area = (Side A)^2 Go

11 Other formulas that calculate the same Output

surface-volume-ratio of triakis tetrahedron given area
surface_to_volume_ratio = 4*(sqrt(11/2))*(sqrt((3*sqrt(11))/(5*Area))) Go
Surface-to-volume ratio (A/V) given side of Rhombic Triacontahedron
surface_to_volume_ratio = (3*sqrt(5))/(Side*(sqrt(5+(2*sqrt(5))))) Go
surface-volume-ratio of triakis tetrahedron given volume
surface_to_volume_ratio = 4*(sqrt(11/2))*(((3*sqrt(2))/(20*Volume))^(1/3)) Go
surface-volume-ratio of triakis tetrahedron given height
surface_to_volume_ratio = 4*(sqrt(11/2))*((3*sqrt(6))/(5*Height)) Go
Surface-to-volume ratio of Rhombic Dodecahedron given edge length
surface_to_volume_ratio = (9*sqrt(2))/(2*sqrt(3)*Side A) Go
Surface-to-volume ratio (A/V) of triakis tetrahedron given edge length of tetrahedron(a)
surface_to_volume_ratio = (4*sqrt(11))/(Side A*sqrt(2)) Go
surface-volume-ratio of triakis tetrahedron given Edge length of pyramid(b)
surface_to_volume_ratio = 4*(sqrt(11/2))*(3/(5*Side B)) Go
Surface-to-volume ratio of Rhombic Dodecahedron given Midsphere radius
surface_to_volume_ratio = (6/(sqrt(3)*Radius)) Go
surface-volume-ratio of triakis tetrahedron given Midsphere radius
surface_to_volume_ratio = sqrt(11)/Radius Go
Surface-to-volume ratio of Rhombic Dodecahedron given Insphere radius
surface_to_volume_ratio = (3/Radius) Go
surface-volume-ratio of triakis tetrahedron given Insphere radius
surface_to_volume_ratio = 3/Radius Go

Surface-to-volume ratio (A/V) of Star Pyramid when Height (h) is missing and Point edge (s) is given Formula

surface_to_volume_ratio = (((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)))))/(((sqrt(5*(5-2*sqrt(5))))*(Side A^2/6))*(sqrt(Length 1-((Side A^2/100)*(50+10*sqrt(5))))))
r = (((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))))*(a^2/6))*(sqrt(l1-((a^2/100)*(50+10*sqrt(5))))))

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-to-volume ratio (A/V) of Star Pyramid when Height (h) is missing and Point edge (s) is given?

Surface-to-volume ratio (A/V) of Star Pyramid when Height (h) is missing and Point edge (s) is given calculator uses surface_to_volume_ratio = (((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)))))/(((sqrt(5*(5-2*sqrt(5))))*(Side A^2/6))*(sqrt(Length 1-((Side A^2/100)*(50+10*sqrt(5)))))) to calculate the surface to volume ratio, Surface-to-volume ratio (A/V) of Star Pyramid when Height (h) is missing and Point edge (s) is given formula is defined as what part of total volume of Star Pyramid is its surface area. Where, length = Point length (b), length_1 = Point edge (s) , length_2 = Ridge (t). surface to volume ratio and is denoted by r symbol.

How to calculate Surface-to-volume ratio (A/V) of Star Pyramid when Height (h) is missing and Point edge (s) is given using this online calculator? To use this online calculator for Surface-to-volume ratio (A/V) of Star Pyramid when Height (h) is missing and Point edge (s) is given, enter Side A (a), Length (l), length 1 (l1) and length 2 (L2) and hit the calculate button. Here is how the Surface-to-volume ratio (A/V) of Star Pyramid when Height (h) is missing and Point edge (s) is given 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)))))/(((sqrt(5*(5-2*sqrt(5))))*(8^2/6))*(sqrt(1-((8^2/100)*(50+10*sqrt(5)))))).

FAQ

What is Surface-to-volume ratio (A/V) of Star Pyramid when Height (h) is missing and Point edge (s) is given?
Surface-to-volume ratio (A/V) of Star Pyramid when Height (h) is missing and Point edge (s) is given formula is defined as what part of total volume of Star Pyramid is its surface area. Where, length = Point length (b), length_1 = Point edge (s) , length_2 = Ridge (t) and is represented as r = (((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))))*(a^2/6))*(sqrt(l1-((a^2/100)*(50+10*sqrt(5)))))) or surface_to_volume_ratio = (((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)))))/(((sqrt(5*(5-2*sqrt(5))))*(Side A^2/6))*(sqrt(Length 1-((Side A^2/100)*(50+10*sqrt(5)))))). 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-to-volume ratio (A/V) of Star Pyramid when Height (h) is missing and Point edge (s) is given?
Surface-to-volume ratio (A/V) of Star Pyramid when Height (h) is missing and Point edge (s) is given formula is defined as what part of total volume of Star Pyramid is its surface area. Where, length = Point length (b), length_1 = Point edge (s) , length_2 = Ridge (t) is calculated using surface_to_volume_ratio = (((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)))))/(((sqrt(5*(5-2*sqrt(5))))*(Side A^2/6))*(sqrt(Length 1-((Side A^2/100)*(50+10*sqrt(5)))))). To calculate Surface-to-volume ratio (A/V) of Star Pyramid when Height (h) is missing and Point edge (s) is given, 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 surface to volume ratio?
In this formula, surface to volume ratio 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 -
  • surface_to_volume_ratio = (3*sqrt(5))/(Side*(sqrt(5+(2*sqrt(5)))))
  • surface_to_volume_ratio = (4*sqrt(11))/(Side A*sqrt(2))
  • surface_to_volume_ratio = 4*(sqrt(11/2))*(3/(5*Side B))
  • surface_to_volume_ratio = 4*(sqrt(11/2))*((3*sqrt(6))/(5*Height))
  • surface_to_volume_ratio = 4*(sqrt(11/2))*(sqrt((3*sqrt(11))/(5*Area)))
  • surface_to_volume_ratio = 3/Radius
  • surface_to_volume_ratio = sqrt(11)/Radius
  • surface_to_volume_ratio = 4*(sqrt(11/2))*(((3*sqrt(2))/(20*Volume))^(1/3))
  • surface_to_volume_ratio = (9*sqrt(2))/(2*sqrt(3)*Side A)
  • surface_to_volume_ratio = (3/Radius)
  • surface_to_volume_ratio = (6/(sqrt(3)*Radius))
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