Surface-to-volume ratio of pentagonal trapezohedron given height Calculator

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✖Height is the distance between the lowest and highest points of a person standing upright.ⓘ Height [h]

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✖surface to volume ratio is fraction of surface to volume.ⓘ Surface-to-volume ratio of pentagonal trapezohedron given height [r]

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Mona Gladys

St Joseph's College (St Joseph's College), Bengaluru

Mona Gladys has created this Calculator and 1000+ more calculators!

Mridul Sharma

Indian Institute of Information Technology (IIIT), Bhopal

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Surface-to-volume ratio of pentagonal trapezohedron given height Solution

STEP 0: Pre-Calculation Summary

Formula Used

surface_to_volume_ratio = ((sqrt((25/2)*(5+sqrt(5)))))/((5/12)*(3+sqrt(5))*(Height/((sqrt(5+2*sqrt(5))))))
r = ((sqrt((25/2)*(5+sqrt(5)))))/((5/12)*(3+sqrt(5))*(h/((sqrt(5+2*sqrt(5))))))
This formula uses 1 Functions, 1 Variables

Functions Used

sqrt - Squre root function, sqrt(Number)

Variables Used

Height - Height is the distance between the lowest and highest points of a person standing upright. (Measured in Meter)

STEP 1: Convert Input(s) to Base Unit

Height: 12 Meter --> 12 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r = ((sqrt((25/2)*(5+sqrt(5)))))/((5/12)*(3+sqrt(5))*(h/((sqrt(5+2*sqrt(5)))))) --> ((sqrt((25/2)*(5+sqrt(5)))))/((5/12)*(3+sqrt(5))*(12/((sqrt(5+2*sqrt(5))))))

Evaluating ... ...

r = 1.11803398874989

STEP 3: Convert Result to Output's Unit

1.11803398874989 Hundred --> No Conversion Required

FINAL ANSWER

1.11803398874989 Hundred <-- surface to volume ratio

(Calculation completed in 00.016 seconds)

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Surface-to-volume ratio of pentagonal trapezohedron given height

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

Volume of a Conical Frustum

volume = (1/3)*pi*Height*(Radius 1^2+Radius 2^2+(Radius 1*Radius 2)) Go

Total Surface Area of a Cone

total_surface_area = pi*Radius*(Radius+sqrt(Radius^2+Height^2)) Go

Lateral Surface Area of a Cone

lateral_surface_area = pi*Radius*sqrt(Radius^2+Height^2) Go

Total Surface Area of a Cylinder

total_surface_area = 2*pi*Radius*(Height+Radius) Go

Lateral Surface Area of a Cylinder

lateral_surface_area = 2*pi*Radius*Height Go

Volume of a Circular Cone

volume = (1/3)*pi*(Radius)^2*Height Go

Area of a Trapezoid

area = ((Base A+Base B)/2)*Height Go

Volume of a Circular Cylinder

volume = pi*(Radius)^2*Height Go

Volume of a Pyramid

volume = (1/3)*Side^2*Height Go

Area of a Triangle when base and height are given

area = 1/2*Base*Height Go

Area of a Parallelogram when base and height are given

area = Base*Height 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 of pentagonal trapezohedron given height Formula

surface_to_volume_ratio = ((sqrt((25/2)*(5+sqrt(5)))))/((5/12)*(3+sqrt(5))*(Height/((sqrt(5+2*sqrt(5))))))
r = ((sqrt((25/2)*(5+sqrt(5)))))/((5/12)*(3+sqrt(5))*(h/((sqrt(5+2*sqrt(5))))))

What is a trapezohedron?

The n-gonal trapezohedron, antidipyramid, antibipyramid, or deltohedron is the dual polyhedron of an n-gonal antiprism. The 2n faces of the n-trapezohedron are congruent and symmetrically staggered; they are called twisted kites. With a higher symmetry, its 2n faces are kites (also called deltoids). The n-gon part of the name does not refer to faces here but to two arrangements of vertices around an axis of symmetry. The dual n-gonal antiprism has two actual n-gon faces. An n-gonal trapezohedron can be dissected into two equal n-gonal pyramids and an n-gonal antiprism.

How to Calculate Surface-to-volume ratio of pentagonal trapezohedron given height?

Surface-to-volume ratio of pentagonal trapezohedron given height calculator uses surface_to_volume_ratio = ((sqrt((25/2)*(5+sqrt(5)))))/((5/12)*(3+sqrt(5))*(Height/((sqrt(5+2*sqrt(5)))))) to calculate the surface to volume ratio, The Surface-to-volume ratio of pentagonal trapezohedron given height formula is defined as the ratio of surface area to volume of pentagonal trapezohedron, where a = pentagonal trapezohedron edge. surface to volume ratio and is denoted by r symbol.

How to calculate Surface-to-volume ratio of pentagonal trapezohedron given height using this online calculator? To use this online calculator for Surface-to-volume ratio of pentagonal trapezohedron given height, enter Height (h) and hit the calculate button. Here is how the Surface-to-volume ratio of pentagonal trapezohedron given height calculation can be explained with given input values -> 1.118034 = ((sqrt((25/2)*(5+sqrt(5)))))/((5/12)*(3+sqrt(5))*(12/((sqrt(5+2*sqrt(5)))))).

FAQ

What is Surface-to-volume ratio of pentagonal trapezohedron given height?

The Surface-to-volume ratio of pentagonal trapezohedron given height formula is defined as the ratio of surface area to volume of pentagonal trapezohedron, where a = pentagonal trapezohedron edge and is represented as r = ((sqrt((25/2)*(5+sqrt(5)))))/((5/12)*(3+sqrt(5))*(h/((sqrt(5+2*sqrt(5)))))) or surface_to_volume_ratio = ((sqrt((25/2)*(5+sqrt(5)))))/((5/12)*(3+sqrt(5))*(Height/((sqrt(5+2*sqrt(5)))))). Height is the distance between the lowest and highest points of a person standing upright.

How to calculate Surface-to-volume ratio of pentagonal trapezohedron given height?

The Surface-to-volume ratio of pentagonal trapezohedron given height formula is defined as the ratio of surface area to volume of pentagonal trapezohedron, where a = pentagonal trapezohedron edge is calculated using surface_to_volume_ratio = ((sqrt((25/2)*(5+sqrt(5)))))/((5/12)*(3+sqrt(5))*(Height/((sqrt(5+2*sqrt(5)))))). To calculate Surface-to-volume ratio of pentagonal trapezohedron given height, you need Height (h). With our tool, you need to enter the respective value for Height 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 Height. 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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