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 = (dSpace/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 = (dSpace/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 00.020 seconds)

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
Mona Gladys has verified this Calculator and 1800+ more calculators!

14 Volume of Cube Calculators

Volume of Cube given Circumscribed Cylinder Radius
Go Volume of Cube = (sqrt(2)*Circumscribed Cylinder Radius of Cube)^(3)
Volume of Cube given Circumsphere Radius
Go Volume of Cube = (2/sqrt(3)*Circumsphere Radius of Cube)^(3)
Volume of Cube given Midsphere Radius
Go Volume of Cube = (sqrt(2)*Midsphere Radius of Cube)^(3)
Volume of Cube given Face Diagonal
Go Volume of Cube = (Face Diagonal of Cube/sqrt(2))^(3)
Volume of Cube given Space Diagonal
Go Volume of Cube = (Space Diagonal of Cube/sqrt(3))^3
Volume of Cube given Inscribed Cylinder Radius
Go Volume of Cube = (2*Inscribed Cylinder Radius of Cube)^(3)
Volume of Cube given Surface to Volume Ratio
Go Volume of Cube = (6/Surface to Volume Ratio of Cube)^(3)
Volume of Cube given Lateral Surface Area
Go Volume of Cube = (Lateral Surface Area of Cube/4)^(3/2)
Volume of Cube given Total Surface Area
Go Volume of Cube = (Total Surface Area of Cube/6)^(3/2)
Volume of Cube given Insphere Radius
Go Volume of Cube = (2*Insphere Radius of Cube)^(3)
Volume of Cube given Face Perimeter
Go Volume of Cube = (Face Perimeter of Cube/4)^(3)
Volume of Cube given Perimeter
Go Volume of Cube = (Perimeter of Cube/12)^(3)
Volume of Cube given Face Area
Go Volume of Cube = Face Area of Cube^(3/2)
Volume of Cube
Go Volume of Cube = Edge Length of Cube^3

4 Volume of Cube Calculators

Volume of Cube given Circumsphere Radius
Go Volume of Cube = (2/sqrt(3)*Circumsphere Radius of Cube)^(3)
Volume of Cube given Space Diagonal
Go Volume of Cube = (Space Diagonal of Cube/sqrt(3))^3
Volume of Cube given Total Surface Area
Go Volume of Cube = (Total Surface Area of Cube/6)^(3/2)
Volume of Cube
Go Volume of Cube = Edge Length of Cube^3

Volume of Cube given Space Diagonal Formula

Volume of Cube = (Space Diagonal of Cube/sqrt(3))^3
V = (dSpace/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 (dSpace) 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 = (dSpace/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 (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 Volume of Cube?
In this formula, Volume of Cube uses Space Diagonal of Cube. We can use 16 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)
  • Volume of Cube = Face Area of Cube^(3/2)
  • Volume of Cube = (Face Perimeter of Cube/4)^(3)
  • Volume of Cube = (Lateral Surface Area of Cube/4)^(3/2)
  • Volume of Cube = (2*Insphere Radius of Cube)^(3)
  • Volume of Cube = (2/sqrt(3)*Circumsphere Radius of Cube)^(3)
  • Volume of Cube = (sqrt(2)*Circumscribed Cylinder Radius of Cube)^(3)
  • Volume of Cube = (sqrt(2)*Midsphere Radius of Cube)^(3)
  • Volume of Cube = (6/Surface to Volume Ratio of Cube)^(3)
  • Volume of Cube = (2*Inscribed Cylinder Radius of Cube)^(3)
  • Volume of Cube = (Perimeter of Cube/12)^(3)
  • Volume of Cube = Edge Length of Cube^3
  • Volume of Cube = (2/sqrt(3)*Circumsphere Radius of Cube)^(3)
  • Volume of Cube = (Total Surface Area of Cube/6)^(3/2)
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!