Face Diagonal of Cube given Volume Solution

STEP 0: Pre-Calculation Summary
Formula Used
Face Diagonal of Cube = sqrt(2)*Volume of Cube^(1/3)
dFace = sqrt(2)*V^(1/3)
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
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.
Volume of Cube - (Measured in Cubic Meter) - Volume of Cube is the total quantity of three dimensional space enclosed by the surface of a Cube.
STEP 1: Convert Input(s) to Base Unit
Volume of Cube: 1000 Cubic Meter --> 1000 Cubic Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
dFace = sqrt(2)*V^(1/3) --> sqrt(2)*1000^(1/3)
Evaluating ... ...
dFace = 14.1421356237309
STEP 3: Convert Result to Output's Unit
14.1421356237309 Meter --> No Conversion Required
FINAL ANSWER
14.1421356237309 14.14214 Meter <-- Face Diagonal of Cube
(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
Dhruv Walia has created this Calculator and 1100+ more calculators!
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Verified by Nikita Kumari
The National Institute of Engineering (NIE), Mysuru
Nikita Kumari has verified this Calculator and 600+ more calculators!

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

Face Diagonal of Cube given Volume Formula

Face Diagonal of Cube = sqrt(2)*Volume of Cube^(1/3)
dFace = sqrt(2)*V^(1/3)

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 Volume?

Face Diagonal of Cube given Volume calculator uses Face Diagonal of Cube = sqrt(2)*Volume of Cube^(1/3) to calculate the Face Diagonal of Cube, The Face Diagonal of Cube given Volume formula is the distance between any pair of opposite corners on a particular square face of the Cube, and calculated using the volume of the Cube. Face Diagonal of Cube is denoted by dFace symbol.

How to calculate Face Diagonal of Cube given Volume using this online calculator? To use this online calculator for Face Diagonal of Cube given Volume, enter Volume of Cube (V) and hit the calculate button. Here is how the Face Diagonal of Cube given Volume calculation can be explained with given input values -> 14.14214 = sqrt(2)*1000^(1/3).

FAQ

What is Face Diagonal of Cube given Volume?
The Face Diagonal of Cube given Volume formula is the distance between any pair of opposite corners on a particular square face of the Cube, and calculated using the volume of the Cube and is represented as dFace = sqrt(2)*V^(1/3) or Face Diagonal of Cube = sqrt(2)*Volume of Cube^(1/3). Volume of Cube is the total quantity of three dimensional space enclosed by the surface of a Cube.
How to calculate Face Diagonal of Cube given Volume?
The Face Diagonal of Cube given Volume formula is the distance between any pair of opposite corners on a particular square face of the Cube, and calculated using the volume of the Cube is calculated using Face Diagonal of Cube = sqrt(2)*Volume of Cube^(1/3). To calculate Face Diagonal of Cube given Volume, you need Volume of Cube (V). With our tool, you need to enter the respective value for Volume 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 Volume of Cube. We can use 13 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(Lateral Surface Area of Cube/2)
  • 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 = 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
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