Volume of pentagonal trapezohedron given surface area Calculator

Main Category	Math ↺
Math	Geometry ↺
Geometry	3D Geometry ↺
3D Geometry	Trapezohedron ↺

✖The area is the amount of two-dimensional space taken up by an object.ⓘ Area [A]

+10%

-10%

✖Volume is the amount of space that a substance or object occupies or that is enclosed within a container.ⓘ Volume of pentagonal trapezohedron given surface area [V]

⎘ Copy

👎

Formula

Reset

👍

Credits

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

Mridul Sharma has verified this Calculator and 1000+ more calculators!

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)

You are here

Home »
Math »
Geometry »
3D Geometry »
Trapezohedron »
Volume of pentagonal trapezohedron given surface area

< 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

Facebook
Twitter
WhatsApp
Reddit
LinkedIn
E-Mail

Let Others Know

✖

Facebook

Twitter

Copied!