Perimeter of Cube given Space Diagonal Solution

STEP 0: Pre-Calculation Summary
Formula Used
Perimeter of Cube = (12*Space Diagonal of Cube)/sqrt(3)
P = (12*dSpace)/sqrt(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
Perimeter of Cube - (Measured in Meter) - Perimeter of Cube is the total distance around the edge of the Cube.
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.
STEP 1: Convert Input(s) to Base Unit
Space Diagonal of Cube: 17 Meter --> 17 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
P = (12*dSpace)/sqrt(3) --> (12*17)/sqrt(3)
Evaluating ... ...
P = 117.779454914684
STEP 3: Convert Result to Output's Unit
117.779454914684 Meter --> No Conversion Required
FINAL ANSWER
117.779454914684 117.7795 Meter <-- Perimeter of Cube
(Calculation completed in 00.020 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 Nayana Phulphagar
Institute of Chartered and Financial Analysts of India National college (ICFAI National College), HUBLI
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Perimeter of Cube Calculators

Perimeter of Cube given Total Surface Area
​ LaTeX ​ Go Perimeter of Cube = 12*sqrt(Total Surface Area of Cube/6)
Perimeter of Cube given Surface to Volume Ratio
​ LaTeX ​ Go Perimeter of Cube = 72/Surface to Volume Ratio of Cube
Perimeter of Cube given Volume
​ LaTeX ​ Go Perimeter of Cube = 12*Volume of Cube^(1/3)
Perimeter of Cube
​ LaTeX ​ Go Perimeter of Cube = 12*Edge Length of Cube

Perimeter of Cube given Space Diagonal Formula

​LaTeX ​Go
Perimeter of Cube = (12*Space Diagonal of Cube)/sqrt(3)
P = (12*dSpace)/sqrt(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 Perimeter of Cube given Space Diagonal?

Perimeter of Cube given Space Diagonal calculator uses Perimeter of Cube = (12*Space Diagonal of Cube)/sqrt(3) to calculate the Perimeter of Cube, The Perimeter of Cube given Space Diagonal formula is defined as the sum of the total distance around all the edges of the Cube and is calculated using the space diagonal of the Cube. Perimeter of Cube is denoted by P symbol.

How to calculate Perimeter of Cube given Space Diagonal using this online calculator? To use this online calculator for Perimeter of Cube given Space Diagonal, enter Space Diagonal of Cube (dSpace) and hit the calculate button. Here is how the Perimeter of Cube given Space Diagonal calculation can be explained with given input values -> 117.7795 = (12*17)/sqrt(3).

FAQ

What is Perimeter of Cube given Space Diagonal?
The Perimeter of Cube given Space Diagonal formula is defined as the sum of the total distance around all the edges of the Cube and is calculated using the space diagonal of the Cube and is represented as P = (12*dSpace)/sqrt(3) or Perimeter of Cube = (12*Space Diagonal of Cube)/sqrt(3). Space Diagonal of Cube is the distance from any corner to the opposite and farthest corner of the Cube.
How to calculate Perimeter of Cube given Space Diagonal?
The Perimeter of Cube given Space Diagonal formula is defined as the sum of the total distance around all the edges of the Cube and is calculated using the space diagonal of the Cube is calculated using Perimeter of Cube = (12*Space Diagonal of Cube)/sqrt(3). To calculate Perimeter of Cube given Space Diagonal, you need Space Diagonal of Cube (dSpace). With our tool, you need to enter the respective value for Space Diagonal 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 Perimeter of Cube?
In this formula, Perimeter of Cube uses Space Diagonal of Cube. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Perimeter of Cube = 12*Edge Length of Cube
  • Perimeter of Cube = 72/Surface to Volume Ratio of Cube
  • Perimeter of Cube = 12*sqrt(Total Surface Area of Cube/6)
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