Face Diagonal of Cube given Perimeter Calculator

Math Chemistry Engineering Financial Health Physics Playground

↳

Geometry Algebra Arithmetic Combinatorics Probability and Disribution Sequence and Series Sets, Relations and Functions Statistics Trigonometry and Inverse Trigonometry

⤿

3D Geometry 2D Geometry 4D Geometry

⤿

Platonic Solids Anticube Antiprism Archimedean Solids Barrel Bent Cuboid Bicone Capsule CatalanSolids Circular Hyperboloid Cone Cuboctahedron Cuboid Cut Cylinder Cut Cylindrical Shell Cylinder Cylindrical Shell Diagonally Halved Cylinder Disphenoid Double Calotte Double Point Ellipsoid Elliptic Cylinder Elongated Dodecahedron Flat End Cylinder Frustum of Cone Great Dodecahedron Great Icosahedron Great Stellated Dodecahedron Half Cylinder Half Tetrahedron Hemisphere Hollow Cuboid Hollow Cylinder Hollow Frustum Hollow Hemisphere Hollow Pyramid Hollow Sphere Ingot Johnson Solids Obelisk Oblique Cylinder Oblique Prism Obtuse Edged Cuboid Oloid Paraboloid Parallelepiped Prismatoid Prisms Pyramids Ramp Regular Bipyramid Rhombohedron Right Wedge Semi Ellipsoid Sharp Bent Cylinder Skewed Three Edged Prism Small Stellated Dodecahedron Solid of Revolution Sphere Spherical Cap Spherical Corner Spherical Ring Spherical Sector Spherical Segment Spherical Wedge Spherical Zone Square Pillar Star Pyramid Steinmetz Solids Stellated Octahedron Toroid Torus Trapezohedron Trirectangular Tetrahedron Truncated Rhombohedron

⤿

Cube Dodecahedron Icosahedron Octahedron Tetrahedron

⤿

Diagonal of Cube Important Formulas of Cube Edge Length of Cube Perimeter of Cube Radius of Cube Surface Area of Cube Surface to Volume Ratio of Cube Volume of Cube

⤿

Face Diagonal of Cube Space Diagonal of Cube

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

+10%

-10%

✖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]

⎘ Copy

👎

Formula

✖

Face Diagonal of Cube given Perimeter

Formula

d Face = \frac{\sqrt{2} \cdot P}{12}

Example

14.14214 m = \frac{\sqrt{2} \cdot 120 m}{12}

Calculator

LaTeX

Reset

👍

Download Cube Formula PDF PDF Image

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 00.004 seconds)

You are here -

Home » Math » Geometry » 3D Geometry » Platonic Solids » Cube » Diagonal of Cube » Face Diagonal of Cube » Face Diagonal of Cube given Perimeter

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 Nayana Phulphagar

Institute of Chartered and Financial Analysts of India National college (ICFAI National College), HUBLI

Nayana Phulphagar has verified this Calculator and 1500+ more calculators!

< 5 Face Diagonal of Cube Calculators

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 Space Diagonal

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

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 Perimeter Formula

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 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 = 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

Home

FREE PDFs

🔍 Search