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Surface area of pentagonal trapezohedron given volume Solution

STEP 0: Pre-Calculation Summary
Formula Used
surface_area = (sqrt((25/2)*(5+sqrt(5))))*((((12*Volume)/(5*(3+sqrt(5))))*(1/3))^2)
SA = (sqrt((25/2)*(5+sqrt(5))))*((((12*V)/(5*(3+sqrt(5))))*(1/3))^2)
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
SA = (sqrt((25/2)*(5+sqrt(5))))*((((12*V)/(5*(3+sqrt(5))))*(1/3))^2) --> (sqrt((25/2)*(5+sqrt(5))))*((((12*63)/(5*(3+sqrt(5))))*(1/3))^2)
Evaluating ... ...
SA = 881.164203687122
STEP 3: Convert Result to Output's Unit
881.164203687122 Square Meter --> No Conversion Required
FINAL ANSWER
881.164203687122 Square Meter <-- Surface Area
(Calculation completed in 00.000 seconds)

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

Surface Area of Cuboid
surface_area = 2*((Length*Height)+(Height*Breadth)+(Length*Breadth)) Go
Surface Area of a Rectangular Prism
surface_area = 2*(Length*Width+Length*Height+Width*Height) Go
Surface Area of triangular prism
surface_area = (Base*Height)+(2*Length*Side)+(Length*Base) Go
Surface Area of a Capsule
surface_area = 2*pi*Radius*(2*Radius+Side) Go
Surface Area of Prisms
surface_area = (2*Base Area)+(Height*Base Perimeter) Go
Surface Area of Dodecahedron
surface_area = 3*(sqrt(25+(10*sqrt(5))))*(Side^2) Go
Surface Area of Regular Octahedron
surface_area = 2*(sqrt(3))*(Side^2) Go
Surface Area of Icosahedron
surface_area = 5*(sqrt(3))*(Side^2) Go
Surface Area of Regular Tetrahedron
surface_area = (sqrt(3))*(Side^2) Go
Surface Area of a Sphere
surface_area = 4*pi*Radius^2 Go
Surface Area of a Cube
surface_area = 6*Side^2 Go

Surface area of pentagonal trapezohedron given volume Formula

surface_area = (sqrt((25/2)*(5+sqrt(5))))*((((12*Volume)/(5*(3+sqrt(5))))*(1/3))^2)
SA = (sqrt((25/2)*(5+sqrt(5))))*((((12*V)/(5*(3+sqrt(5))))*(1/3))^2)

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 area of pentagonal trapezohedron given volume?

Surface area of pentagonal trapezohedron given volume calculator uses surface_area = (sqrt((25/2)*(5+sqrt(5))))*((((12*Volume)/(5*(3+sqrt(5))))*(1/3))^2) to calculate the Surface Area, The Surface area of pentagonal trapezohedron given volume formula is defined as measure of the total area that the surface of the object occupies of a pentagonal trapezohedron, where a =pentagonal trapezohedron edge. Surface Area and is denoted by SA symbol.

How to calculate Surface area of pentagonal trapezohedron given volume using this online calculator? To use this online calculator for Surface area of pentagonal trapezohedron given volume, enter Volume (V) and hit the calculate button. Here is how the Surface area of pentagonal trapezohedron given volume calculation can be explained with given input values -> 881.1642 = (sqrt((25/2)*(5+sqrt(5))))*((((12*63)/(5*(3+sqrt(5))))*(1/3))^2).

FAQ

What is Surface area of pentagonal trapezohedron given volume?
The Surface area of pentagonal trapezohedron given volume formula is defined as measure of the total area that the surface of the object occupies of a pentagonal trapezohedron, where a =pentagonal trapezohedron edge and is represented as SA = (sqrt((25/2)*(5+sqrt(5))))*((((12*V)/(5*(3+sqrt(5))))*(1/3))^2) or surface_area = (sqrt((25/2)*(5+sqrt(5))))*((((12*Volume)/(5*(3+sqrt(5))))*(1/3))^2). Volume is the amount of space that a substance or object occupies or that is enclosed within a container.
How to calculate Surface area of pentagonal trapezohedron given volume?
The Surface area of pentagonal trapezohedron given volume formula is defined as measure of the total area that the surface of the object occupies of a pentagonal trapezohedron, where a =pentagonal trapezohedron edge is calculated using surface_area = (sqrt((25/2)*(5+sqrt(5))))*((((12*Volume)/(5*(3+sqrt(5))))*(1/3))^2). To calculate Surface area 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 Surface Area?
In this formula, Surface Area uses Volume. We can use 11 other way(s) to calculate the same, which is/are as follows -
  • surface_area = 2*pi*Radius*(2*Radius+Side)
  • surface_area = 6*Side^2
  • surface_area = 2*(Length*Width+Length*Height+Width*Height)
  • surface_area = 4*pi*Radius^2
  • surface_area = 3*(sqrt(25+(10*sqrt(5))))*(Side^2)
  • surface_area = 5*(sqrt(3))*(Side^2)
  • surface_area = 2*(sqrt(3))*(Side^2)
  • surface_area = (sqrt(3))*(Side^2)
  • surface_area = 2*((Length*Height)+(Height*Breadth)+(Length*Breadth))
  • surface_area = (2*Base Area)+(Height*Base Perimeter)
  • surface_area = (Base*Height)+(2*Length*Side)+(Length*Base)
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