Volume of Cube given Face Diagonal Calculator

✖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 [d_Face]

+10%

-10%

✖Volume of Cube is the total quantity of three dimensional space enclosed by the surface of a Cube.ⓘ Volume of Cube given Face Diagonal [V]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Cube Formula PDF PDF Image

Volume of Cube given Face Diagonal Solution

STEP 0: Pre-Calculation Summary

Formula Used

Volume of Cube = (Face Diagonal of Cube/sqrt(2))^(3)
V = (d_Face/sqrt(2))^(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

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.
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.

STEP 1: Convert Input(s) to Base Unit

Face Diagonal of Cube: 14 Meter --> 14 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V = (d_Face/sqrt(2))^(3) --> (14/sqrt(2))^(3)

Evaluating ... ...

V = 970.150503787943

STEP 3: Convert Result to Output's Unit

970.150503787943 Cubic Meter --> No Conversion Required

FINAL ANSWER

970.150503787943 ≈ 970.1505 Cubic Meter <-- Volume of Cube

(Calculation completed in 00.004 seconds)

You are here -

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

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!

< Volume of Cube Calculators

Volume of Cube given Face Diagonal

LaTeX Go Volume of Cube = (Face Diagonal of Cube/sqrt(2))^(3)

Volume of Cube given Space Diagonal

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

Volume of Cube given Total Surface Area

LaTeX Go Volume of Cube = (Total Surface Area of Cube/6)^(3/2)

Volume of Cube

LaTeX Go Volume of Cube = Edge Length of Cube^3

Volume of Cube given Face Diagonal Formula

LaTeX Go

Volume of Cube = (Face Diagonal of Cube/sqrt(2))^(3)
V = (d_Face/sqrt(2))^(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 Volume of Cube given Face Diagonal?

Volume of Cube given Face Diagonal calculator uses Volume of Cube = (Face Diagonal of Cube/sqrt(2))^(3) to calculate the Volume of Cube, The Volume of Cube given Face Diagonal formula is defined as the total quantity of three dimensional space enclosed by the surface of the Cube, and calculated using the face diagonal of the Cube. Volume of Cube is denoted by V symbol.

How to calculate Volume of Cube given Face Diagonal using this online calculator? To use this online calculator for Volume of Cube given Face Diagonal, enter Face Diagonal of Cube (d_Face) and hit the calculate button. Here is how the Volume of Cube given Face Diagonal calculation can be explained with given input values -> 970.1505 = (14/sqrt(2))^(3).

FAQ

What is Volume of Cube given Face Diagonal?

The Volume of Cube given Face Diagonal formula is defined as the total quantity of three dimensional space enclosed by the surface of the Cube, and calculated using the face diagonal of the Cube and is represented as V = (d_Face/sqrt(2))^(3) or Volume of Cube = (Face Diagonal of Cube/sqrt(2))^(3). Face Diagonal of Cube is the distance between any pair of opposite corners on a particular square face of the Cube.

How to calculate Volume of Cube given Face Diagonal?

The Volume of Cube given Face Diagonal formula is defined as the total quantity of three dimensional space enclosed by the surface of the Cube, and calculated using the face diagonal of the Cube is calculated using Volume of Cube = (Face Diagonal of Cube/sqrt(2))^(3). To calculate Volume of Cube given Face Diagonal, you need Face Diagonal of Cube (d_Face). With our tool, you need to enter the respective value for Face 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 Volume of Cube?

In this formula, Volume of Cube uses Face Diagonal of Cube. We can use 3 other way(s) to calculate the same, which is/are as follows -

Volume of Cube = (Total Surface Area of Cube/6)^(3/2)
Volume of Cube = Edge Length of Cube^3
Volume of Cube = (Space Diagonal of Cube/sqrt(3))^3

Home

FREE PDFs

🔍 Search