Face Diagonal of Cube given Perimeter Calculator

✖Perimeter of Cube is the total distance around the edge of the Cube.ⓘ Perimeter of Cube [P]

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✖Face Diagonal of Cube is the distance between any pair of opposite corners on a particular square face of the Cube.ⓘ Face Diagonal of Cube given Perimeter [d_Face]

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Face Diagonal of Cube given Perimeter Solution

STEP 0: Pre-Calculation Summary

Formula Used

Face Diagonal of Cube = (sqrt(2)*Perimeter of Cube)/12
d_Face = (sqrt(2)*P)/12
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.
Perimeter of Cube - (Measured in Meter) - Perimeter of Cube is the total distance around the edge of the Cube.

STEP 1: Convert Input(s) to Base Unit

Perimeter of Cube: 120 Meter --> 120 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d_Face = (sqrt(2)*P)/12 --> (sqrt(2)*120)/12

Evaluating ... ...

d_Face = 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 00.020 seconds)

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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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< Face Diagonal of Cube Calculators

Face Diagonal of Cube given Lateral Surface Area

LaTeX Go Face Diagonal of Cube = sqrt(Lateral Surface Area of Cube/2)

Face Diagonal of Cube given Total Surface Area

LaTeX Go Face Diagonal of Cube = sqrt(Total Surface Area of Cube/3)

Face Diagonal of Cube

LaTeX Go Face Diagonal of Cube = sqrt(2)*Edge Length of Cube

Face Diagonal of Cube given Face Area

LaTeX Go Face Diagonal of Cube = sqrt(2*Face Area of Cube)

Face Diagonal of Cube given Perimeter Formula

LaTeX Go

Face Diagonal of Cube = (sqrt(2)*Perimeter of Cube)/12
d_Face = (sqrt(2)*P)/12

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 Perimeter?

Face Diagonal of Cube given Perimeter calculator uses Face Diagonal of Cube = (sqrt(2)*Perimeter of Cube)/12 to calculate the Face Diagonal of Cube, The Face Diagonal of Cube given Perimeter formula is defined as the distance between any pair of opposite corners on a particular square face of the Cube, and calculated using the perimeter of the Cube. Face Diagonal of Cube is denoted by d_Face symbol.

How to calculate Face Diagonal of Cube given Perimeter using this online calculator? To use this online calculator for Face Diagonal of Cube given Perimeter, enter Perimeter of Cube (P) and hit the calculate button. Here is how the Face Diagonal of Cube given Perimeter calculation can be explained with given input values -> 14.14214 = (sqrt(2)*120)/12.

FAQ

What is Face Diagonal of Cube given Perimeter?

The Face Diagonal of Cube given Perimeter formula is defined as the distance between any pair of opposite corners on a particular square face of the Cube, and calculated using the perimeter of the Cube and is represented as d_Face = (sqrt(2)*P)/12 or Face Diagonal of Cube = (sqrt(2)*Perimeter of Cube)/12. Perimeter of Cube is the total distance around the edge of the Cube.

How to calculate Face Diagonal of Cube given Perimeter?

The Face Diagonal of Cube given Perimeter formula is defined as the distance between any pair of opposite corners on a particular square face of the Cube, and calculated using the perimeter of the Cube is calculated using Face Diagonal of Cube = (sqrt(2)*Perimeter of Cube)/12. To calculate Face Diagonal of Cube given Perimeter, you need Perimeter of Cube (P). With our tool, you need to enter the respective value for Perimeter 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 Perimeter of Cube. We can use 3 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)

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