Height of pentagonal trapezohedron given volume Calculator

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

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

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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

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

Height of pentagonal trapezohedron given volume Solution

STEP 0: Pre-Calculation Summary

Formula Used

height = (sqrt(5+2*sqrt(5)))*(((12*Volume)/(5*(3+sqrt(5))))*(1/3))
h = (sqrt(5+2*sqrt(5)))*(((12*V)/(5*(3+sqrt(5))))*(1/3))
This formula uses 1 Functions, 1 Variables

Functions Used

sqrt - Squre root function, sqrt(Number)

Variables Used

Volume - Volume is the amount of space that a substance or object occupies or that is enclosed within a container. (Measured in Cubic Meter)

STEP 1: Convert Input(s) to Base Unit

Volume: 63 Cubic Meter --> 63 Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h = (sqrt(5+2*sqrt(5)))*(((12*V)/(5*(3+sqrt(5))))*(1/3)) --> (sqrt(5+2*sqrt(5)))*(((12*63)/(5*(3+sqrt(5))))*(1/3))

Evaluating ... ...

h = 29.6243767155406

STEP 3: Convert Result to Output's Unit

29.6243767155406 Meter --> No Conversion Required

FINAL ANSWER

29.6243767155406 Meter <-- Height

(Calculation completed in 00.000 seconds)

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Height of pentagonal trapezohedron given volume

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

Slant height of a Right square pyramid when volume and side length are given

slant_height = sqrt((Side^2/4)+((3*Volume)/Side^2)^2) Go

Lateral edge length of a Right square pyramid when volume and side length is given

length_edge = sqrt(Side^2/2+((3*Volume)/Side^2)^2) Go

Specific Weight

specific_weight = Weight of body on which frictional force is applied/Volume Go

Height of a triangular prism when base and volume are given

height = (2*Volume)/(Base*Length) Go

Side length of a Right square pyramid when volume and height are given

side = sqrt((3*Volume)/Height) Go

Bottom surface area of a triangular prism when volume and height are given

bottom_surface_area = Volume/Height Go

Body Force Work Rate

body_force_work_rate = Force/Volume Go

Top surface area of a triangular prism when volume and height are given

top_surface_area = Volume/Height Go

Specific Volume

specific_volume = Volume/Mass Go

Height of a right square pyramid when volume and side length are given

height = (3*Volume)/Side^2 Go

Density

density = Mass/Volume Go

< 11 Other formulas that calculate the same Output

Height of a triangular prism when lateral surface area is given

height = Lateral Surface Area/(Side A+Side B+Side C) Go

Height of an isosceles trapezoid

height = sqrt(Side C^2-0.25*(Side A-Side B)^2) Go

Altitude of an isosceles triangle

height = sqrt((Side A)^2+((Side B)^2/4)) Go

Height of a triangular prism when base and volume are given

height = (2*Volume)/(Base*Length) Go

Height of a trapezoid when area and sum of parallel sides are given

height = (2*Area)/Sum of parallel sides of a trapezoid Go

Altitude of the largest right pyramid with a square base that can be inscribed in a sphere of radius a

height = 4*Radius of Sphere/3 Go

Height of Cone inscribed in a sphere for maximum volume of cone in terms of radius of sphere

height = 4*Radius of Sphere/3 Go

Height of Cone circumscribing a sphere such that volume of cone is minimum

height = 4*Radius of Sphere Go

Height of parabolic section that can be cut from a cone for maximum area of parabolic section

height = 0.75*Slant Height Go

Height of a circular cylinder of maximum convex surface area in a given circular cone

height = Height of Cone/2 Go

Height of Largest right circular cylinder that can be inscribed within a cone

height = Height of Cone/3 Go

Height of pentagonal trapezohedron given volume Formula

height = (sqrt(5+2*sqrt(5)))*(((12*Volume)/(5*(3+sqrt(5))))*(1/3))
h = (sqrt(5+2*sqrt(5)))*(((12*V)/(5*(3+sqrt(5))))*(1/3))

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 Height of pentagonal trapezohedron given volume?

Height of pentagonal trapezohedron given volume calculator uses height = (sqrt(5+2*sqrt(5)))*(((12*Volume)/(5*(3+sqrt(5))))*(1/3)) to calculate the Height, The Height of pentagonal trapezohedron given volume formula is defined as the measure of vertical distance from one top to bottom face of pentagonal trapezohedron, where h = height of pentagonal trapezohedron. Height and is denoted by h symbol.

How to calculate Height of pentagonal trapezohedron given volume using this online calculator? To use this online calculator for Height of pentagonal trapezohedron given volume, enter Volume (V) and hit the calculate button. Here is how the Height of pentagonal trapezohedron given volume calculation can be explained with given input values -> 29.62438 = (sqrt(5+2*sqrt(5)))*(((12*63)/(5*(3+sqrt(5))))*(1/3)).

FAQ

What is Height of pentagonal trapezohedron given volume?

The Height of pentagonal trapezohedron given volume formula is defined as the measure of vertical distance from one top to bottom face of pentagonal trapezohedron, where h = height of pentagonal trapezohedron and is represented as h = (sqrt(5+2*sqrt(5)))*(((12*V)/(5*(3+sqrt(5))))*(1/3)) or height = (sqrt(5+2*sqrt(5)))*(((12*Volume)/(5*(3+sqrt(5))))*(1/3)). Volume is the amount of space that a substance or object occupies or that is enclosed within a container.

How to calculate Height of pentagonal trapezohedron given volume?

The Height of pentagonal trapezohedron given volume formula is defined as the measure of vertical distance from one top to bottom face of pentagonal trapezohedron, where h = height of pentagonal trapezohedron is calculated using height = (sqrt(5+2*sqrt(5)))*(((12*Volume)/(5*(3+sqrt(5))))*(1/3)). To calculate Height of pentagonal trapezohedron given volume, you need Volume (V). With our tool, you need to enter the respective value for Volume 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 Height?

In this formula, Height uses Volume. We can use 11 other way(s) to calculate the same, which is/are as follows -

height = 4*Radius of Sphere/3
height = 4*Radius of Sphere
height = Height of Cone/3
height = 4*Radius of Sphere/3
height = Height of Cone/2
height = 0.75*Slant Height
height = sqrt(Side C^2-0.25*(Side A-Side B)^2)
height = (2*Area)/Sum of parallel sides of a trapezoid
height = sqrt((Side A)^2+((Side B)^2/4))
height = (2*Volume)/(Base*Length)
height = Lateral Surface Area/(Side A+Side B+Side C)

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