Face Diagonal of Cube given Lateral Surface Area Solution

STEP 0: Pre-Calculation Summary
Formula Used
Face Diagonal of Cube = sqrt(Lateral Surface Area of Cube/2)
dFace = sqrt(LSA/2)
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
Face Diagonal of Cube - (Measured in Meter) - Face Diagonal of Cube is the distance between any pair of opposite corners on a particular square face of the Cube.
Lateral Surface Area of Cube - (Measured in Square Meter) - Lateral Surface Area of Cube is the quantity of plane enclosed by all the lateral surfaces (that is, top and bottom faces are excluded) of the Cube.
STEP 1: Convert Input(s) to Base Unit
Lateral Surface Area of Cube: 400 Square Meter --> 400 Square Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
dFace = sqrt(LSA/2) --> sqrt(400/2)
Evaluating ... ...
dFace = 14.142135623731
STEP 3: Convert Result to Output's Unit
14.142135623731 Meter --> No Conversion Required
FINAL ANSWER
14.142135623731 14.14214 Meter <-- Face Diagonal of Cube
(Calculation completed in 00.004 seconds)

Credits

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Created by Nishan Poojary
Shri Madhwa Vadiraja Institute of Technology and Management (SMVITM), Udupi
Nishan Poojary has created this Calculator and 500+ more calculators!
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Verified by Mona Gladys
St Joseph's College (SJC), Bengaluru
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14 Face Diagonal of Cube Calculators

Face Diagonal of Cube given Inscribed Cylinder Radius
​ Go Face Diagonal of Cube = 2*sqrt(2)*Inscribed Cylinder Radius of Cube
Face Diagonal of Cube given Surface to Volume Ratio
​ Go Face Diagonal of Cube = (6*sqrt(2))/Surface to Volume Ratio of Cube
Face Diagonal of Cube given Circumsphere Radius
​ Go Face Diagonal of Cube = 2*sqrt(2/3)*Circumsphere Radius of Cube
Face Diagonal of Cube given Lateral Surface Area
​ Go Face Diagonal of Cube = sqrt(Lateral Surface Area of Cube/2)
Face Diagonal of Cube given Total Surface Area
​ Go Face Diagonal of Cube = sqrt(Total Surface Area of Cube/3)
Face Diagonal of Cube given Face Perimeter
​ Go Face Diagonal of Cube = (sqrt(2)*Face Perimeter of Cube)/4
Face Diagonal of Cube given Insphere Radius
​ Go Face Diagonal of Cube = 2*sqrt(2)*Insphere Radius of Cube
Face Diagonal of Cube given Space Diagonal
​ Go Face Diagonal of Cube = sqrt(2/3)*Space Diagonal of Cube
Face Diagonal of Cube given Perimeter
​ Go Face Diagonal of Cube = (sqrt(2)*Perimeter of Cube)/12
Face Diagonal of Cube given Volume
​ Go Face Diagonal of Cube = sqrt(2)*Volume of Cube^(1/3)
Face Diagonal of Cube
​ Go Face Diagonal of Cube = sqrt(2)*Edge Length of Cube
Face Diagonal of Cube given Face Area
​ Go Face Diagonal of Cube = sqrt(2*Face Area of Cube)
Face Diagonal of Cube given Circumscribed Cylinder Radius
​ Go Face Diagonal of Cube = 2*Circumscribed Cylinder Radius of Cube
Face Diagonal of Cube given Midsphere Radius
​ Go Face Diagonal of Cube = 2*Midsphere Radius of Cube

7 Diagonal of Cube Calculators

Face Diagonal of Cube given Lateral Surface Area
​ Go Face Diagonal of Cube = sqrt(Lateral Surface Area of Cube/2)
Space Diagonal of Cube given Total Surface Area
​ Go Space Diagonal of Cube = sqrt(Total Surface Area of Cube/2)
Face Diagonal of Cube given Total Surface Area
​ Go Face Diagonal of Cube = sqrt(Total Surface Area of Cube/3)
Space Diagonal of Cube given Perimeter
​ Go Space Diagonal of Cube = (sqrt(3)*Perimeter of Cube)/12
Space Diagonal of Cube
​ Go Space Diagonal of Cube = sqrt(3)*Edge Length of Cube
Face Diagonal of Cube
​ Go Face Diagonal of Cube = sqrt(2)*Edge Length of Cube
Space Diagonal of Cube given Circumsphere Radius
​ Go Space Diagonal of Cube = 2*Circumsphere Radius of Cube

Face Diagonal of Cube given Lateral Surface Area Formula

Face Diagonal of Cube = sqrt(Lateral Surface Area of Cube/2)
dFace = sqrt(LSA/2)

What is a Cube?

A Cube is a symmetric, closed three dimensional shape having 6 identical square shaped faces. It has 8 corners, 12 edges and 6 faces. And each corner is shared by 3 faces and each edge is shared by 2 faces of the Cube. In other way, a rectangular box in which length, breadth and height are numerically equal is called a Cube. That equal measurement is called the edge length of the Cube. Also Cube is a Platonic solid.

How to Calculate Face Diagonal of Cube given Lateral Surface Area?

Face Diagonal of Cube given Lateral Surface Area calculator uses Face Diagonal of Cube = sqrt(Lateral Surface Area of Cube/2) to calculate the Face Diagonal of Cube, Face Diagonal of Cube given Lateral Surface Area formula is the distance between any pair of opposite corners on a particular square face of the Cube, and calculated using the lateral surface area of the Cube. Face Diagonal of Cube is denoted by dFace symbol.

How to calculate Face Diagonal of Cube given Lateral Surface Area using this online calculator? To use this online calculator for Face Diagonal of Cube given Lateral Surface Area, enter Lateral Surface Area of Cube (LSA) and hit the calculate button. Here is how the Face Diagonal of Cube given Lateral Surface Area calculation can be explained with given input values -> 14.14214 = sqrt(400/2).

FAQ

What is Face Diagonal of Cube given Lateral Surface Area?
Face Diagonal of Cube given Lateral Surface Area formula is the distance between any pair of opposite corners on a particular square face of the Cube, and calculated using the lateral surface area of the Cube and is represented as dFace = sqrt(LSA/2) or Face Diagonal of Cube = sqrt(Lateral Surface Area of Cube/2). Lateral Surface Area of Cube is the quantity of plane enclosed by all the lateral surfaces (that is, top and bottom faces are excluded) of the Cube.
How to calculate Face Diagonal of Cube given Lateral Surface Area?
Face Diagonal of Cube given Lateral Surface Area formula is the distance between any pair of opposite corners on a particular square face of the Cube, and calculated using the lateral surface area of the Cube is calculated using Face Diagonal of Cube = sqrt(Lateral Surface Area of Cube/2). To calculate Face Diagonal of Cube given Lateral Surface Area, you need Lateral Surface Area of Cube (LSA). With our tool, you need to enter the respective value for Lateral Surface Area of Cube 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 Face Diagonal of Cube?
In this formula, Face Diagonal of Cube uses Lateral Surface Area of Cube. We can use 15 other way(s) to calculate the same, which is/are as follows -
  • Face Diagonal of Cube = sqrt(Total Surface Area of Cube/3)
  • Face Diagonal of Cube = sqrt(2*Face Area of Cube)
  • Face Diagonal of Cube = sqrt(2)*Edge Length of Cube
  • Face Diagonal of Cube = sqrt(2/3)*Space Diagonal of Cube
  • Face Diagonal of Cube = (sqrt(2)*Face Perimeter of Cube)/4
  • Face Diagonal of Cube = sqrt(2)*Volume of Cube^(1/3)
  • Face Diagonal of Cube = 2*sqrt(2)*Insphere Radius of Cube
  • Face Diagonal of Cube = 2*sqrt(2)*Inscribed Cylinder Radius of Cube
  • Face Diagonal of Cube = 2*sqrt(2/3)*Circumsphere Radius of Cube
  • Face Diagonal of Cube = 2*Circumscribed Cylinder Radius of Cube
  • Face Diagonal of Cube = 2*Midsphere Radius of Cube
  • Face Diagonal of Cube = (6*sqrt(2))/Surface to Volume Ratio of Cube
  • Face Diagonal of Cube = (sqrt(2)*Perimeter of Cube)/12
  • Face Diagonal of Cube = sqrt(2)*Edge Length of Cube
  • Face Diagonal of Cube = sqrt(Total Surface Area of Cube/3)
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