Lateral Surface Area of Cuboctahedron given Volume Calculator

✖Lateral Surface Area of Cuboctahedron is the quantity of plane enclosed by all the lateral surfaces (that is, top and bottom faces are excluded) of the Cuboctahedron.ⓘ Lateral Surface Area of Cuboctahedron given Volume [LSA]

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Formula

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Lateral Surface Area of Cuboctahedron given Volume

Formula

`"LSA" = ((2*sqrt(3))+4)*((3*"V")/(5*sqrt(2)))^(2/3)`

Example

`"747.0386m"=((2*sqrt(3))+4)*((3*"2360m³")/(5*sqrt(2)))^(2/3)`

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Lateral Surface Area of Cuboctahedron given Volume Solution

STEP 0: Pre-Calculation Summary

Formula Used

Lateral Surface Area of Cuboctahedron = ((2*sqrt(3))+4)*((3*Volume of Cuboctahedron)/(5*sqrt(2)))^(2/3)
LSA = ((2*sqrt(3))+4)*((3*V)/(5*sqrt(2)))^(2/3)
This formula uses 1 Functions, 2 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Lateral Surface Area of Cuboctahedron - (Measured in Meter) - Lateral Surface Area of Cuboctahedron is the quantity of plane enclosed by all the lateral surfaces (that is, top and bottom faces are excluded) of the Cuboctahedron.
Volume of Cuboctahedron - (Measured in Cubic Meter) - Volume of Cuboctahedron is the amount of 3-dimensional space enclosed by the surface of the Cuboctahedron.

STEP 1: Convert Input(s) to Base Unit

Volume of Cuboctahedron: 2360 Cubic Meter --> 2360 Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

LSA = ((2*sqrt(3))+4)*((3*V)/(5*sqrt(2)))^(2/3) --> ((2*sqrt(3))+4)*((3*2360)/(5*sqrt(2)))^(2/3)

Evaluating ... ...

LSA = 747.038607203435

STEP 3: Convert Result to Output's Unit

747.038607203435 Meter --> No Conversion Required

FINAL ANSWER

747.038607203435 ≈ 747.0386 Meter <-- Lateral Surface Area of Cuboctahedron

(Calculation completed in 00.004 seconds)

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Mumbai University (DJSCE), Mumbai

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< 7 Lateral Surface Area of Cuboctahedron Calculators

Lateral Surface Area of Cuboctahedron given Surface to Volume Ratio

Go Lateral Surface Area of Cuboctahedron = ((2*sqrt(3))+4)*((18+(6*sqrt(3)))/(5*sqrt(2)*Surface to Volume Ratio of Cuboctahedron))^2

Lateral Surface Area of Cuboctahedron given Total Surface Area

Go Lateral Surface Area of Cuboctahedron = ((2*sqrt(3))+4)*Total Surface Area of Cuboctahedron/(2*(3+sqrt(3)))

Lateral Surface Area of Cuboctahedron given Midsphere Radius

Go Lateral Surface Area of Cuboctahedron = ((2*sqrt(3))+4)*(2/sqrt(3)*Midsphere Radius of Cuboctahedron)^2

Lateral Surface Area of Cuboctahedron given Volume

Go Lateral Surface Area of Cuboctahedron = ((2*sqrt(3))+4)*((3*Volume of Cuboctahedron)/(5*sqrt(2)))^(2/3)

Lateral Surface Area of Cuboctahedron given Circumsphere Radius

Go Lateral Surface Area of Cuboctahedron = ((2*sqrt(3))+4)*Circumsphere Radius of Cuboctahedron^2

Lateral Surface Area of Cuboctahedron

Go Lateral Surface Area of Cuboctahedron = ((2*sqrt(3))+4)*Edge Length of Cuboctahedron^2

Lateral Surface Area of Cuboctahedron given Perimeter

Go Midsphere Radius of Cuboctahedron = ((2*sqrt(3))+4)*Perimeter of Cuboctahedron^2/576

Lateral Surface Area of Cuboctahedron given Volume Formula

Lateral Surface Area of Cuboctahedron = ((2*sqrt(3))+4)*((3*Volume of Cuboctahedron)/(5*sqrt(2)))^(2/3)
LSA = ((2*sqrt(3))+4)*((3*V)/(5*sqrt(2)))^(2/3)

What is a Cuboctahedron?

A Cuboctahedron is a polyhedron with 8 triangular faces and 6 square faces. A cuboctahedron has 12 identical vertices, with 2 triangles and 2 squares meeting at each, and 24 identical edges, each separating a triangle from a square. As such, it is a quasiregular polyhedron, i.e. an Archimedean solid that is not only vertex-transitive but also edge-transitive. It is the only radially equilateral convex polyhedron.

How to Calculate Lateral Surface Area of Cuboctahedron given Volume?

Lateral Surface Area of Cuboctahedron given Volume calculator uses Lateral Surface Area of Cuboctahedron = ((2*sqrt(3))+4)*((3*Volume of Cuboctahedron)/(5*sqrt(2)))^(2/3) to calculate the Lateral Surface Area of Cuboctahedron, The Lateral Surface Area of Cuboctahedron given Volume formula is defined as the quantity of plane enclosed by all the lateral surfaces (that is, top and bottom faces are excluded) of the Cuboctahedron, calculated using the volume of Cuboctahedron. Lateral Surface Area of Cuboctahedron is denoted by LSA symbol.

How to calculate Lateral Surface Area of Cuboctahedron given Volume using this online calculator? To use this online calculator for Lateral Surface Area of Cuboctahedron given Volume, enter Volume of Cuboctahedron (V) and hit the calculate button. Here is how the Lateral Surface Area of Cuboctahedron given Volume calculation can be explained with given input values -> 747.0386 = ((2*sqrt(3))+4)*((3*2360)/(5*sqrt(2)))^(2/3).

FAQ

What is Lateral Surface Area of Cuboctahedron given Volume?

The Lateral Surface Area of Cuboctahedron given Volume formula is defined as the quantity of plane enclosed by all the lateral surfaces (that is, top and bottom faces are excluded) of the Cuboctahedron, calculated using the volume of Cuboctahedron and is represented as LSA = ((2*sqrt(3))+4)*((3*V)/(5*sqrt(2)))^(2/3) or Lateral Surface Area of Cuboctahedron = ((2*sqrt(3))+4)*((3*Volume of Cuboctahedron)/(5*sqrt(2)))^(2/3). Volume of Cuboctahedron is the amount of 3-dimensional space enclosed by the surface of the Cuboctahedron.

How to calculate Lateral Surface Area of Cuboctahedron given Volume?

The Lateral Surface Area of Cuboctahedron given Volume formula is defined as the quantity of plane enclosed by all the lateral surfaces (that is, top and bottom faces are excluded) of the Cuboctahedron, calculated using the volume of Cuboctahedron is calculated using Lateral Surface Area of Cuboctahedron = ((2*sqrt(3))+4)*((3*Volume of Cuboctahedron)/(5*sqrt(2)))^(2/3). To calculate Lateral Surface Area of Cuboctahedron given Volume, you need Volume of Cuboctahedron (V). With our tool, you need to enter the respective value for Volume of Cuboctahedron 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 Lateral Surface Area of Cuboctahedron?

In this formula, Lateral Surface Area of Cuboctahedron uses Volume of Cuboctahedron. We can use 5 other way(s) to calculate the same, which is/are as follows -

Lateral Surface Area of Cuboctahedron = ((2*sqrt(3))+4)*Edge Length of Cuboctahedron^2
Lateral Surface Area of Cuboctahedron = ((2*sqrt(3))+4)*Circumsphere Radius of Cuboctahedron^2
Lateral Surface Area of Cuboctahedron = ((2*sqrt(3))+4)*(2/sqrt(3)*Midsphere Radius of Cuboctahedron)^2
Lateral Surface Area of Cuboctahedron = ((2*sqrt(3))+4)*((18+(6*sqrt(3)))/(5*sqrt(2)*Surface to Volume Ratio of Cuboctahedron))^2
Lateral Surface Area of Cuboctahedron = ((2*sqrt(3))+4)*Total Surface Area of Cuboctahedron/(2*(3+sqrt(3)))

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