Long edge 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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✖Side B 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.ⓘ Long edge of pentagonal trapezohedron given volume [b]

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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!

Long edge of pentagonal trapezohedron given volume Solution

STEP 0: Pre-Calculation Summary

Formula Used

side_b = ((sqrt(5)+1)/2)*(((12*Volume)/(5*(3+sqrt(5))))*(1/3))
b = ((sqrt(5)+1)/2)*(((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

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

Evaluating ... ...

b = 15.5744565164974

STEP 3: Convert Result to Output's Unit

15.5744565164974 Meter --> No Conversion Required

FINAL ANSWER

15.5744565164974 Meter <-- Side B

(Calculation completed in 00.000 seconds)

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Long edge 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

side b of a triangle

side_b = sqrt(Side A^2+Side C^2-2*Side A*Side C*cos(Angle B)) Go

Second side of kite given both diagonals

side_b = sqrt(((Diagonal/2)^2)+(symmetry Diagonal-Distance from center to a point)^2) Go

Side of a parallelogram when diagonal and the other side is given

side_b = sqrt(2*(Diagonal 1)^2+2*(Diagonal 2)^2-4*(Side A)^2)/2 Go

Side b of parallelogram when diagonal and sides are given

side_b = sqrt((Diagonal 1^2+Diagonal 2^2-2*Side A^2)/2) Go

Leg b of right triangle given radius & other leg of circumscribed circle of a right triangle

side_b = sqrt(((4)*(Radius)^2)-(Side A)^2) Go

side b of rectangle given radius of the circumscribed circle of a rectangle

side_b = sqrt(((4)*(Radius)^2)-(Side A)^2) Go

Side of parallelogram BC from height measured at right angle form other side

side_b = Height of column1/sin(Angle B) Go

Side of parallelogram BC from height measured at right angle form that side

side_b = Height/sin(Angle A) Go

Side of the parallelogram when the height and sine of an angle are given

side_b = Height/sin(Theta) Go

Second side of kite given perimeter and other side

side_b = (Perimeter/2)-Side A Go

Side of the parallelogram when the area and height of the parallelogram are given

side_b = Area/Height Go

Long edge of pentagonal trapezohedron given volume Formula

side_b = ((sqrt(5)+1)/2)*(((12*Volume)/(5*(3+sqrt(5))))*(1/3))
b = ((sqrt(5)+1)/2)*(((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 Long edge of pentagonal trapezohedron given volume?

Long edge of pentagonal trapezohedron given volume calculator uses side_b = ((sqrt(5)+1)/2)*(((12*Volume)/(5*(3+sqrt(5))))*(1/3)) to calculate the Side B, The Long edge of pentagonal trapezohedron given volume formula is defined as a straight line joining two adjacent vertices of pentagonal trapezohedron. Where, a =trapezohedron pentagonal edge. Side B and is denoted by b symbol.

How to calculate Long edge of pentagonal trapezohedron given volume using this online calculator? To use this online calculator for Long edge of pentagonal trapezohedron given volume, enter Volume (V) and hit the calculate button. Here is how the Long edge of pentagonal trapezohedron given volume calculation can be explained with given input values -> 15.57446 = ((sqrt(5)+1)/2)*(((12*63)/(5*(3+sqrt(5))))*(1/3)).

FAQ

What is Long edge of pentagonal trapezohedron given volume?

The Long edge of pentagonal trapezohedron given volume formula is defined as a straight line joining two adjacent vertices of pentagonal trapezohedron. Where, a =trapezohedron pentagonal edge and is represented as b = ((sqrt(5)+1)/2)*(((12*V)/(5*(3+sqrt(5))))*(1/3)) or side_b = ((sqrt(5)+1)/2)*(((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 Long edge of pentagonal trapezohedron given volume?

The Long edge of pentagonal trapezohedron given volume formula is defined as a straight line joining two adjacent vertices of pentagonal trapezohedron. Where, a =trapezohedron pentagonal edge is calculated using side_b = ((sqrt(5)+1)/2)*(((12*Volume)/(5*(3+sqrt(5))))*(1/3)). To calculate Long edge 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 Side B?

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

side_b = sqrt(Side A^2+Side C^2-2*Side A*Side C*cos(Angle B))
side_b = sqrt(2*(Diagonal 1)^2+2*(Diagonal 2)^2-4*(Side A)^2)/2
side_b = Height/sin(Theta)
side_b = Area/Height
side_b = Height/sin(Angle A)
side_b = Height of column1/sin(Angle B)
side_b = sqrt((Diagonal 1^2+Diagonal 2^2-2*Side A^2)/2)
side_b = sqrt(((4)*(Radius)^2)-(Side A)^2)
side_b = sqrt(((4)*(Radius)^2)-(Side A)^2)
side_b = sqrt(((Diagonal/2)^2)+(symmetry Diagonal-Distance from center to a point)^2)
side_b = (Perimeter/2)-Side A

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