Space Diagonal of Cube given Face Area Calculator

✖Space Diagonal of Cube is the distance from any corner to the opposite and farthest corner of the Cube.ⓘ Space Diagonal of Cube given Face Area [d_Space]

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Formula

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Space Diagonal of Cube given Face Area

Formula

`"d"_{"Space"} = sqrt(3*"A"_{"Face"})`

Example

`"17.32051m"=sqrt(3*"100m²")`

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Space Diagonal of Cube given Face Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

Space Diagonal of Cube = sqrt(3*Face Area of Cube)
d_Space = sqrt(3*A_Face)
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

Space Diagonal of Cube - (Measured in Meter) - Space Diagonal of Cube is the distance from any corner to the opposite and farthest corner of the Cube.
Face Area of Cube - (Measured in Square Meter) - Face Area of Cube is the quantity of plane enclosed by any square face of the Cube.

STEP 1: Convert Input(s) to Base Unit

Face Area of Cube: 100 Square Meter --> 100 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d_Space = sqrt(3*A_Face) --> sqrt(3*100)

Evaluating ... ...

d_Space = 17.3205080756888

STEP 3: Convert Result to Output's Unit

17.3205080756888 Meter --> No Conversion Required

FINAL ANSWER

17.3205080756888 ≈ 17.32051 Meter <-- Space Diagonal of Cube

(Calculation completed in 00.004 seconds)

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Credits

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!

Verified by Nikita Kumari

The National Institute of Engineering (NIE), Mysuru

Nikita Kumari has verified this Calculator and 600+ more calculators!

< 14 Space Diagonal of Cube Calculators

Space Diagonal of Cube given Circumscribed Cylinder Radius

Go Space Diagonal of Cube = sqrt(6)*Circumscribed Cylinder Radius of Cube

Space Diagonal of Cube given Inscribed Cylinder Radius

Go Space Diagonal of Cube = 2*sqrt(3)*Inscribed Cylinder Radius of Cube

Space Diagonal of Cube given Surface to Volume Ratio

Go Space Diagonal of Cube = (6*sqrt(3))/Surface to Volume Ratio of Cube

Space Diagonal of Cube given Lateral Surface Area

Go Space Diagonal of Cube = sqrt(3/4*Lateral Surface Area of Cube)

Space Diagonal of Cube given Total Surface Area

Go Space Diagonal of Cube = sqrt(Total Surface Area of Cube/2)

Space Diagonal of Cube given Insphere Radius

Go Space Diagonal of Cube = 2*sqrt(3)*Insphere Radius of Cube

Space Diagonal of Cube given Midsphere Radius

Go Space Diagonal of Cube = sqrt(6)*Midsphere Radius of Cube

Space Diagonal of Cube given Face Perimeter

Go Space Diagonal of Cube = sqrt(3)/4*Face Perimeter of Cube

Space Diagonal of Cube given Face Diagonal

Go Space Diagonal of Cube = sqrt(3/2)*Face Diagonal of Cube

Space Diagonal of Cube given Perimeter

Go Space Diagonal of Cube = (sqrt(3)*Perimeter of Cube)/12

Space Diagonal of Cube given Volume

Go Space Diagonal of Cube = sqrt(3)*Volume of Cube^(1/3)

Space Diagonal of Cube

Go Space Diagonal of Cube = sqrt(3)*Edge Length of Cube

Space Diagonal of Cube given Face Area

Go Space Diagonal of Cube = sqrt(3*Face Area of Cube)

Space Diagonal of Cube given Circumsphere Radius

Go Space Diagonal of Cube = 2*Circumsphere Radius of Cube

Space Diagonal of Cube given Face Area Formula

Space Diagonal of Cube = sqrt(3*Face Area of Cube)
d_Space = sqrt(3*A_Face)

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 Space Diagonal of Cube given Face Area?

Space Diagonal of Cube given Face Area calculator uses Space Diagonal of Cube = sqrt(3*Face Area of Cube) to calculate the Space Diagonal of Cube, The Space Diagonal of Cube given Face Area formula is defined as the distance from any corner to the opposite and farthest corner of the Cube, and calculated using the face area of the Cube. Space Diagonal of Cube is denoted by d_Space symbol.

How to calculate Space Diagonal of Cube given Face Area using this online calculator? To use this online calculator for Space Diagonal of Cube given Face Area, enter Face Area of Cube (A_Face) and hit the calculate button. Here is how the Space Diagonal of Cube given Face Area calculation can be explained with given input values -> 17.32051 = sqrt(3*100).

FAQ

What is Space Diagonal of Cube given Face Area?

The Space Diagonal of Cube given Face Area formula is defined as the distance from any corner to the opposite and farthest corner of the Cube, and calculated using the face area of the Cube and is represented as d_Space = sqrt(3*A_Face) or Space Diagonal of Cube = sqrt(3*Face Area of Cube). Face Area of Cube is the quantity of plane enclosed by any square face of the Cube.

How to calculate Space Diagonal of Cube given Face Area?

The Space Diagonal of Cube given Face Area formula is defined as the distance from any corner to the opposite and farthest corner of the Cube, and calculated using the face area of the Cube is calculated using Space Diagonal of Cube = sqrt(3*Face Area of Cube). To calculate Space Diagonal of Cube given Face Area, you need Face Area of Cube (A_Face). With our tool, you need to enter the respective value for Face 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 Space Diagonal of Cube?

In this formula, Space Diagonal of Cube uses Face Area of Cube. We can use 13 other way(s) to calculate the same, which is/are as follows -

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

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