Lateral Surface Area of Icosahedron given Total Surface Area Solution

STEP 0: Pre-Calculation Summary
Formula Used
Lateral Surface Area of Icosahedron = 9/10*Total Surface Area of Icosahedron
LSA = 9/10*TSA
This formula uses 2 Variables
Variables Used
Lateral Surface Area of Icosahedron - (Measured in Square Meter) - Lateral Surface Area of Icosahedron is the quantity of plane enclosed by all the lateral surfaces (that is, top and bottom faces are excluded) of the Icosahedron.
Total Surface Area of Icosahedron - (Measured in Square Meter) - Total Surface Area of Icosahedron is the total quantity of plane enclosed by the entire surface of the Icosahedron.
STEP 1: Convert Input(s) to Base Unit
Total Surface Area of Icosahedron: 870 Square Meter --> 870 Square Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
LSA = 9/10*TSA --> 9/10*870
Evaluating ... ...
LSA = 783
STEP 3: Convert Result to Output's Unit
783 Square Meter --> No Conversion Required
FINAL ANSWER
783 Square Meter <-- Lateral Surface Area of Icosahedron
(Calculation completed in 00.004 seconds)

Credits

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Created by Dhruv Walia
Indian Institute of Technology, Indian School of Mines, DHANBAD (IIT ISM), Dhanbad, Jharkhand
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Verified by Nikhil
Mumbai University (DJSCE), Mumbai
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12 Lateral Surface Area of Icosahedron Calculators

Lateral Surface Area of Icosahedron given Surface to Volume Ratio
​ Go Lateral Surface Area of Icosahedron = 9*sqrt(3)/2*((12*sqrt(3))/((3+sqrt(5))*Surface to Volume Ratio of Icosahedron))^2
Lateral Surface Area of Icosahedron given Circumsphere Radius
​ Go Lateral Surface Area of Icosahedron = 9*sqrt(3)/2*((4*Circumsphere Radius of Icosahedron)/(sqrt(10+(2*sqrt(5)))))^2
Lateral Surface Area of Icosahedron given Insphere Radius
​ Go Lateral Surface Area of Icosahedron = 9*sqrt(3)/2*((12*Insphere Radius of Icosahedron)/(sqrt(3)*(3+sqrt(5))))^2
Lateral Surface Area of Icosahedron given Space Diagonal
​ Go Lateral Surface Area of Icosahedron = 9*sqrt(3)/2*((2*Space Diagonal of Icosahedron)/(sqrt(10+(2*sqrt(5)))))^2
Lateral Surface Area of Icosahedron given Total Surface Area and Edge Length
​ Go Lateral Surface Area of Icosahedron = Total Surface Area of Icosahedron-sqrt(3)/2*Edge Length of Icosahedron^2
Lateral Surface Area of Icosahedron given Midsphere Radius
​ Go Lateral Surface Area of Icosahedron = 9*sqrt(3)/2*((4*Midsphere Radius of Icosahedron)/(1+sqrt(5)))^2
Lateral Surface Area of Icosahedron given Volume
​ Go Lateral Surface Area of Icosahedron = 9*sqrt(3)/2*((12/5*Volume of Icosahedron)/(3+sqrt(5)))^(2/3)
Lateral Surface Area of Icosahedron given Face Perimeter
​ Go Lateral Surface Area of Icosahedron = 9*sqrt(3)/2*(Face Perimeter of Icosahedron/3)^2
Lateral Surface Area of Icosahedron given Perimeter
​ Go Lateral Surface Area of Icosahedron = 9*sqrt(3)/2*(Perimeter of Icosahedron/30)^2
Lateral Surface Area of Icosahedron
​ Go Lateral Surface Area of Icosahedron = 9*sqrt(3)/2*Edge Length of Icosahedron^2
Lateral Surface Area of Icosahedron given Total Surface Area
​ Go Lateral Surface Area of Icosahedron = 9/10*Total Surface Area of Icosahedron
Lateral Surface Area of Icosahedron given Face Area
​ Go Lateral Surface Area of Icosahedron = 18*Face Area of Icosahedron

10+ Surface Area of Icosahedron Calculators

Total Surface Area of Icosahedron given Circumsphere Radius
​ Go Total Surface Area of Icosahedron = 5*sqrt(3)*((4*Circumsphere Radius of Icosahedron)/(sqrt(10+(2*sqrt(5)))))^2
Face Area of Icosahedron given Circumsphere Radius
​ Go Face Area of Icosahedron = sqrt(3)/4*((4*Circumsphere Radius of Icosahedron)/(sqrt(10+(2*sqrt(5)))))^2
Total Surface Area of Icosahedron given Lateral Surface Area and Edge Length
​ Go Total Surface Area of Icosahedron = Lateral Surface Area of Icosahedron+sqrt(3)/2*Edge Length of Icosahedron^2
Lateral Surface Area of Icosahedron given Volume
​ Go Lateral Surface Area of Icosahedron = 9*sqrt(3)/2*((12/5*Volume of Icosahedron)/(3+sqrt(5)))^(2/3)
Total Surface Area of Icosahedron given Volume
​ Go Total Surface Area of Icosahedron = 5*sqrt(3)*((12*Volume of Icosahedron)/(5*(3+sqrt(5))))^(2/3)
Lateral Surface Area of Icosahedron
​ Go Lateral Surface Area of Icosahedron = 9*sqrt(3)/2*Edge Length of Icosahedron^2
Total Surface Area of Icosahedron
​ Go Total Surface Area of Icosahedron = 5*sqrt(3)*Edge Length of Icosahedron^2
Face Area of Icosahedron
​ Go Face Area of Icosahedron = sqrt(3)/4*Edge Length of Icosahedron^2
Lateral Surface Area of Icosahedron given Total Surface Area
​ Go Lateral Surface Area of Icosahedron = 9/10*Total Surface Area of Icosahedron
Face Area of Icosahedron given Total Surface Area
​ Go Face Area of Icosahedron = Total Surface Area of Icosahedron/20

Lateral Surface Area of Icosahedron given Total Surface Area Formula

Lateral Surface Area of Icosahedron = 9/10*Total Surface Area of Icosahedron
LSA = 9/10*TSA

What is an Icosahedron?

An Icosahedron is a symmetric and closed three dimensional shape with 20 identical equilateral triangular faces. It is a Platonic solid, which has 20 faces, 12 vertices and 30 edges. At each vertex, five equilateral triangular faces meet and at each edge, two equilateral triangular faces meet.

What are Platonic Solids?

In three-dimensional space, a Platonic solid is a regular, convex polyhedron. It is constructed by congruent (identical in shape and size), regular (all angles equal and all sides equal), polygonal faces with the same number of faces meeting at each vertex. Five solids who meet this criteria are Tetrahedron {3,3} , Cube {4,3} , Octahedron {3,4} , Dodecahedron {5,3} , Icosahedron {3,5} ; where in {p, q}, p represents the number of edges in a face and q represents the number of edges meeting at a vertex; {p, q} is the Schläfli symbol.

How to Calculate Lateral Surface Area of Icosahedron given Total Surface Area?

Lateral Surface Area of Icosahedron given Total Surface Area calculator uses Lateral Surface Area of Icosahedron = 9/10*Total Surface Area of Icosahedron to calculate the Lateral Surface Area of Icosahedron, The Lateral Surface Area of Icosahedron given Total Surface Area formula is defined as the quantity of plane enclosed by all the lateral surfaces (that is, top and bottom faces are excluded) of the Icosahedron and is calculated using the total surface area of the Icosahedron. Lateral Surface Area of Icosahedron is denoted by LSA symbol.

How to calculate Lateral Surface Area of Icosahedron given Total Surface Area using this online calculator? To use this online calculator for Lateral Surface Area of Icosahedron given Total Surface Area, enter Total Surface Area of Icosahedron (TSA) and hit the calculate button. Here is how the Lateral Surface Area of Icosahedron given Total Surface Area calculation can be explained with given input values -> 783 = 9/10*870.

FAQ

What is Lateral Surface Area of Icosahedron given Total Surface Area?
The Lateral Surface Area of Icosahedron given Total Surface Area formula is defined as the quantity of plane enclosed by all the lateral surfaces (that is, top and bottom faces are excluded) of the Icosahedron and is calculated using the total surface area of the Icosahedron and is represented as LSA = 9/10*TSA or Lateral Surface Area of Icosahedron = 9/10*Total Surface Area of Icosahedron. Total Surface Area of Icosahedron is the total quantity of plane enclosed by the entire surface of the Icosahedron.
How to calculate Lateral Surface Area of Icosahedron given Total Surface Area?
The Lateral Surface Area of Icosahedron given Total Surface Area formula is defined as the quantity of plane enclosed by all the lateral surfaces (that is, top and bottom faces are excluded) of the Icosahedron and is calculated using the total surface area of the Icosahedron is calculated using Lateral Surface Area of Icosahedron = 9/10*Total Surface Area of Icosahedron. To calculate Lateral Surface Area of Icosahedron given Total Surface Area, you need Total Surface Area of Icosahedron (TSA). With our tool, you need to enter the respective value for Total Surface Area of Icosahedron 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 Icosahedron?
In this formula, Lateral Surface Area of Icosahedron uses Total Surface Area of Icosahedron. We can use 13 other way(s) to calculate the same, which is/are as follows -
  • Lateral Surface Area of Icosahedron = 9*sqrt(3)/2*(Face Perimeter of Icosahedron/3)^2
  • Lateral Surface Area of Icosahedron = 18*Face Area of Icosahedron
  • Lateral Surface Area of Icosahedron = 9*sqrt(3)/2*Edge Length of Icosahedron^2
  • Lateral Surface Area of Icosahedron = 9*sqrt(3)/2*((4*Circumsphere Radius of Icosahedron)/(sqrt(10+(2*sqrt(5)))))^2
  • Lateral Surface Area of Icosahedron = 9*sqrt(3)/2*((12*Insphere Radius of Icosahedron)/(sqrt(3)*(3+sqrt(5))))^2
  • Lateral Surface Area of Icosahedron = 9*sqrt(3)/2*((4*Midsphere Radius of Icosahedron)/(1+sqrt(5)))^2
  • Lateral Surface Area of Icosahedron = 9*sqrt(3)/2*((2*Space Diagonal of Icosahedron)/(sqrt(10+(2*sqrt(5)))))^2
  • Lateral Surface Area of Icosahedron = 9*sqrt(3)/2*((12*sqrt(3))/((3+sqrt(5))*Surface to Volume Ratio of Icosahedron))^2
  • Lateral Surface Area of Icosahedron = 9*sqrt(3)/2*((12/5*Volume of Icosahedron)/(3+sqrt(5)))^(2/3)
  • Lateral Surface Area of Icosahedron = Total Surface Area of Icosahedron-sqrt(3)/2*Edge Length of Icosahedron^2
  • Lateral Surface Area of Icosahedron = 9*sqrt(3)/2*(Perimeter of Icosahedron/30)^2
  • Lateral Surface Area of Icosahedron = 9*sqrt(3)/2*Edge Length of Icosahedron^2
  • Lateral Surface Area of Icosahedron = 9*sqrt(3)/2*((12/5*Volume of Icosahedron)/(3+sqrt(5)))^(2/3)
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