Volume of Cube given Space Diagonal Calculator

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

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

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Volume of Cube given Space Diagonal Solution

STEP 0: Pre-Calculation Summary

Formula Used

Volume of Cube = (Space Diagonal of Cube/sqrt(3))^3
V = (d_Space/sqrt(3))^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.
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

V = (d_Space/sqrt(3))^3 --> (17/sqrt(3))^3

Evaluating ... ...

V = 945.507290842877

STEP 3: Convert Result to Output's Unit

945.507290842877 Cubic Meter --> No Conversion Required

FINAL ANSWER

945.507290842877 ≈ 945.5073 Cubic Meter <-- Volume of Cube

(Calculation completed in 00.006 seconds)

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Credits

Created by Anamika Mittal

Vellore Institute of Technology (VIT), Bhopal

Anamika Mittal has created this Calculator and 50+ more calculators!

Verified by Mona Gladys

St Joseph's College (SJC), Bengaluru

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< 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 Calculators

Volume of Cube given Circumsphere Radius

LaTeX Go Volume of Cube = (2/sqrt(3)*Circumsphere Radius of Cube)^(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 Space Diagonal Formula

LaTeX Go

Volume of Cube = (Space Diagonal of Cube/sqrt(3))^3
V = (d_Space/sqrt(3))^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 Space Diagonal?

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

How to calculate Volume of Cube given Space Diagonal using this online calculator? To use this online calculator for Volume of Cube given Space Diagonal, enter Space Diagonal of Cube (d_Space) and hit the calculate button. Here is how the Volume of Cube given Space Diagonal calculation can be explained with given input values -> 945.5073 = (17/sqrt(3))^3.

FAQ

What is Volume of Cube given Space Diagonal?

Volume of Cube given Space Diagonal formula is defined as the total quantity of three dimensional space enclosed by the surface of the Cube, and calculated using the space diagonal of the Cube and is represented as V = (d_Space/sqrt(3))^3 or Volume of Cube = (Space Diagonal of Cube/sqrt(3))^3. Space Diagonal of Cube is the distance from any corner to the opposite and farthest corner of the Cube.

How to calculate Volume of Cube given Space Diagonal?

Volume of Cube given Space Diagonal formula is defined as the total quantity of three dimensional space enclosed by the surface of the Cube, and calculated using the space diagonal of the Cube is calculated using Volume of Cube = (Space Diagonal of Cube/sqrt(3))^3. To calculate Volume of Cube given Space Diagonal, you need Space Diagonal of Cube (d_Space). 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 Volume of Cube?

In this formula, Volume of Cube uses Space 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 = (Face Diagonal of Cube/sqrt(2))^(3)

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