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Volume of pentagonal trapezohedron given surface area Solution

STEP 0: Pre-Calculation Summary
Formula Used
volume = (5/12)*(3+sqrt(5))*((sqrt(Area/((sqrt((25/2)*(5+sqrt(5)))))))^3)
V = (5/12)*(3+sqrt(5))*((sqrt(A/((sqrt((25/2)*(5+sqrt(5)))))))^3)
This formula uses 1 Functions, 1 Variables
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
Area - The area is the amount of two-dimensional space taken up by an object. (Measured in Square Meter)
STEP 1: Convert Input(s) to Base Unit
Area: 50 Square Meter --> 50 Square Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
V = (5/12)*(3+sqrt(5))*((sqrt(A/((sqrt((25/2)*(5+sqrt(5)))))))^3) --> (5/12)*(3+sqrt(5))*((sqrt(50/((sqrt((25/2)*(5+sqrt(5)))))))^3)
Evaluating ... ...
V = 26.2990192301431
STEP 3: Convert Result to Output's Unit
26.2990192301431 Cubic Meter --> No Conversion Required
FINAL ANSWER
26.2990192301431 Cubic Meter <-- Volume
(Calculation completed in 00.000 seconds)

11 Other formulas that you can solve using the same Inputs

Diagonal of a Rectangle when breadth and area are given
diagonal = sqrt(((Area)^2/(Breadth)^2)+(Breadth)^2) Go
Diagonal of a Rectangle when length and area are given
diagonal = sqrt(((Area)^2/(Length)^2)+(Length)^2) Go
Side of a Kite when other side and area are given
side_a = (Area*cosec(Angle Between Sides))/Side B Go
Perimeter of rectangle when area and rectangle length are given
perimeter = (2*Area+2*(Length)^2)/Length Go
Buoyant Force
buoyant_force = Pressure*Area Go
Perimeter of a square when area is given
perimeter = 4*sqrt(Area) Go
Diagonal of a Square when area is given
diagonal = sqrt(2*Area) Go
Length of rectangle when area and breadth are given
length = Area/Breadth Go
Breadth of rectangle when area and length are given
breadth = Area/Length Go
Pressure when force and area are given
pressure = Force/Area Go
Stress
stress = Force/Area Go

11 Other formulas that calculate the same Output

Volume of a Conical Frustum
volume = (1/3)*pi*Height*(Radius 1^2+Radius 2^2+(Radius 1*Radius 2)) Go
Volume of a Capsule
volume = pi*(Radius)^2*((4/3)*Radius+Side) Go
Volume of a Circular Cone
volume = (1/3)*pi*(Radius)^2*Height Go
Volume of a Circular Cylinder
volume = pi*(Radius)^2*Height Go
Volume of a Rectangular Prism
volume = Width*Height*Length Go
Volume of Regular Dodecahedron
volume = ((15+(7*sqrt(5)))*Side^3)/4 Go
Volume of Regular Icosahedron
volume = (5*(3+sqrt(5))*Side^3)/12 Go
Volume of a Hemisphere
volume = (2/3)*pi*(Radius)^3 Go
Volume of a Sphere
volume = (4/3)*pi*(Radius)^3 Go
Volume of a Pyramid
volume = (1/3)*Side^2*Height Go
Volume of a Cube
volume = Side^3 Go

Volume of pentagonal trapezohedron given surface area Formula

volume = (5/12)*(3+sqrt(5))*((sqrt(Area/((sqrt((25/2)*(5+sqrt(5)))))))^3)
V = (5/12)*(3+sqrt(5))*((sqrt(A/((sqrt((25/2)*(5+sqrt(5)))))))^3)

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 Volume of pentagonal trapezohedron given surface area?

Volume of pentagonal trapezohedron given surface area calculator uses volume = (5/12)*(3+sqrt(5))*((sqrt(Area/((sqrt((25/2)*(5+sqrt(5)))))))^3) to calculate the Volume, The Volume of pentagonal trapezohedron given surface area formula is defined as the quantity of three-dimensional space enclosed by a closed surface where a = edge length of pentagonal trapezohedron. Volume and is denoted by V symbol.

How to calculate Volume of pentagonal trapezohedron given surface area using this online calculator? To use this online calculator for Volume of pentagonal trapezohedron given surface area, enter Area (A) and hit the calculate button. Here is how the Volume of pentagonal trapezohedron given surface area calculation can be explained with given input values -> 26.29902 = (5/12)*(3+sqrt(5))*((sqrt(50/((sqrt((25/2)*(5+sqrt(5)))))))^3).

FAQ

What is Volume of pentagonal trapezohedron given surface area?
The Volume of pentagonal trapezohedron given surface area formula is defined as the quantity of three-dimensional space enclosed by a closed surface where a = edge length of pentagonal trapezohedron and is represented as V = (5/12)*(3+sqrt(5))*((sqrt(A/((sqrt((25/2)*(5+sqrt(5)))))))^3) or volume = (5/12)*(3+sqrt(5))*((sqrt(Area/((sqrt((25/2)*(5+sqrt(5)))))))^3). The area is the amount of two-dimensional space taken up by an object.
How to calculate Volume of pentagonal trapezohedron given surface area?
The Volume of pentagonal trapezohedron given surface area formula is defined as the quantity of three-dimensional space enclosed by a closed surface where a = edge length of pentagonal trapezohedron is calculated using volume = (5/12)*(3+sqrt(5))*((sqrt(Area/((sqrt((25/2)*(5+sqrt(5)))))))^3). To calculate Volume of pentagonal trapezohedron given surface area, you need Area (A). With our tool, you need to enter the respective value for Area 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 Volume?
In this formula, Volume uses Area. We can use 11 other way(s) to calculate the same, which is/are as follows -
  • volume = pi*(Radius)^2*((4/3)*Radius+Side)
  • volume = (1/3)*pi*(Radius)^2*Height
  • volume = pi*(Radius)^2*Height
  • volume = Side^3
  • volume = (2/3)*pi*(Radius)^3
  • volume = (4/3)*pi*(Radius)^3
  • volume = (1/3)*Side^2*Height
  • volume = (1/3)*pi*Height*(Radius 1^2+Radius 2^2+(Radius 1*Radius 2))
  • volume = Width*Height*Length
  • volume = ((15+(7*sqrt(5)))*Side^3)/4
  • volume = (5*(3+sqrt(5))*Side^3)/12
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