Total Surface Area of Cuboctahedron given Lateral Surface Area 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 [LSA]

+10%

-10%

✖Total Surface Area of Cuboctahedron is defined as the measure of the total amount of two-dimensional space enclosed by all the faces of the Cuboctahedron.ⓘ Total Surface Area of Cuboctahedron given Lateral Surface Area [TSA]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download 3D Geometry Formula PDF PDF Image

Total Surface Area of Cuboctahedron given Lateral Surface Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Total Surface Area of Cuboctahedron - (Measured in Square Meter) - Total Surface Area of Cuboctahedron is defined as the measure of the total amount of two-dimensional space enclosed by all the faces of the Cuboctahedron.
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.

STEP 1: Convert Input(s) to Base Unit

Lateral Surface Area of Cuboctahedron: 750 Meter --> 750 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

TSA = 2*(3+sqrt(3))*LSA/((2*sqrt(3))+4) --> 2*(3+sqrt(3))*750/((2*sqrt(3))+4)

Evaluating ... ...

TSA = 950.961894323342

STEP 3: Convert Result to Output's Unit

950.961894323342 Square Meter --> No Conversion Required

FINAL ANSWER

950.961894323342 ≈ 950.9619 Square Meter <-- Total Surface Area of Cuboctahedron

(Calculation completed in 00.004 seconds)

You are here -

Home » Math » Geometry » 3D Geometry » Cuboctahedron » Surface Area of Cuboctahedron » Total Surface Area of Cuboctahedron » Total Surface Area of Cuboctahedron given Lateral Surface Area

Credits

Created by Nikhil

Mumbai University (DJSCE), Mumbai

Nikhil has created this Calculator and 400+ more calculators!

Verified by Dhruv Walia

Indian Institute of Technology, Indian School of Mines, DHANBAD (IIT ISM), Dhanbad, Jharkhand

Dhruv Walia has verified this Calculator and 400+ more calculators!

< Total Surface Area of Cuboctahedron Calculators

Total Surface Area of Cuboctahedron given Lateral Surface Area

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

Total Surface Area of Cuboctahedron given Midsphere Radius

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

Total Surface Area of Cuboctahedron given Circumsphere Radius

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

Total Surface Area of Cuboctahedron

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

Total Surface Area of Cuboctahedron given Lateral Surface Area Formula

LaTeX Go

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

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 Total Surface Area of Cuboctahedron given Lateral Surface Area?

Total Surface Area of Cuboctahedron given Lateral Surface Area calculator uses Total Surface Area of Cuboctahedron = 2*(3+sqrt(3))*Lateral Surface Area of Cuboctahedron/((2*sqrt(3))+4) to calculate the Total Surface Area of Cuboctahedron, The Total Surface Area of Cuboctahedron given Lateral Surface Area formula is defined as the measure of the total amount of two-dimensional space enclosed by all the faces of the Cuboctahedron, calculated using lateral surface area of Cuboctahedron. Total Surface Area of Cuboctahedron is denoted by TSA symbol.

How to calculate Total Surface Area of Cuboctahedron given Lateral Surface Area using this online calculator? To use this online calculator for Total Surface Area of Cuboctahedron given Lateral Surface Area, enter Lateral Surface Area of Cuboctahedron (LSA) and hit the calculate button. Here is how the Total Surface Area of Cuboctahedron given Lateral Surface Area calculation can be explained with given input values -> 950.9619 = 2*(3+sqrt(3))*750/((2*sqrt(3))+4).

FAQ

What is Total Surface Area of Cuboctahedron given Lateral Surface Area?

The Total Surface Area of Cuboctahedron given Lateral Surface Area formula is defined as the measure of the total amount of two-dimensional space enclosed by all the faces of the Cuboctahedron, calculated using lateral surface area of Cuboctahedron and is represented as TSA = 2*(3+sqrt(3))*LSA/((2*sqrt(3))+4) or Total Surface Area of Cuboctahedron = 2*(3+sqrt(3))*Lateral Surface Area of Cuboctahedron/((2*sqrt(3))+4). 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.

How to calculate Total Surface Area of Cuboctahedron given Lateral Surface Area?

The Total Surface Area of Cuboctahedron given Lateral Surface Area formula is defined as the measure of the total amount of two-dimensional space enclosed by all the faces of the Cuboctahedron, calculated using lateral surface area of Cuboctahedron is calculated using Total Surface Area of Cuboctahedron = 2*(3+sqrt(3))*Lateral Surface Area of Cuboctahedron/((2*sqrt(3))+4). To calculate Total Surface Area of Cuboctahedron given Lateral Surface Area, you need Lateral Surface Area of Cuboctahedron (LSA). With our tool, you need to enter the respective value for Lateral Surface Area 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 Total Surface Area of Cuboctahedron?

In this formula, Total Surface Area of Cuboctahedron uses Lateral Surface Area of Cuboctahedron. We can use 3 other way(s) to calculate the same, which is/are as follows -

Total Surface Area of Cuboctahedron = 2*(3+sqrt(3))*Edge Length of Cuboctahedron^2
Total Surface Area of Cuboctahedron = 2*(3+sqrt(3))*Circumsphere Radius of Cuboctahedron^2
Total Surface Area of Cuboctahedron = 2*(3+sqrt(3))*(2/sqrt(3)*Midsphere Radius of Cuboctahedron)^2

Home

FREE PDFs

🔍 Search