Space Diagonal of Cube given Total Surface Area Calculator

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

⎘ Copy

👎

Formula

✖

Space Diagonal of Cube given Total Surface Area

Formula

`"d"_{"Space"} = sqrt("TSA"/2)`

Example

`"17.32051m"=sqrt("600m²"/2)`

Calculator

LaTeX

Reset

👍

Download Cube Formula PDF

Space Diagonal of Cube given Total Surface Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

Space Diagonal of Cube = sqrt(Total Surface Area of Cube/2)
d_Space = sqrt(TSA/2)
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

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.
Total Surface Area of Cube - (Measured in Square Meter) - Total Surface Area of Cube is the quantity of plane enclosed by the entire surface of the Cube.

STEP 1: Convert Input(s) to Base Unit

Total Surface Area of Cube: 600 Square Meter --> 600 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d_Space = sqrt(TSA/2) --> sqrt(600/2)

Evaluating ... ...

d_Space = 17.3205080756888

STEP 3: Convert Result to Output's Unit

17.3205080756888 Meter --> No Conversion Required

FINAL ANSWER

17.3205080756888 ≈ 17.32051 Meter <-- Space Diagonal of Cube

(Calculation completed in 00.004 seconds)

You are here -

Home » Math » Geometry » 3D Geometry » Platonic Solids » Cube » Diagonal of Cube » Space Diagonal of Cube » Space Diagonal of Cube given Total Surface Area

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 Space Diagonal of Cube Calculators

Space Diagonal of Cube given Circumscribed Cylinder Radius

Go Space Diagonal of Cube = sqrt(6)*Circumscribed Cylinder Radius of Cube

Space Diagonal of Cube given Inscribed Cylinder Radius

Go Space Diagonal of Cube = 2*sqrt(3)*Inscribed Cylinder Radius of Cube

Space Diagonal of Cube given Surface to Volume Ratio

Go Space Diagonal of Cube = (6*sqrt(3))/Surface to Volume Ratio of Cube

Space Diagonal of Cube given Lateral Surface Area

Go Space Diagonal of Cube = sqrt(3/4*Lateral Surface Area of Cube)

Space Diagonal of Cube given Total Surface Area

Go Space Diagonal of Cube = sqrt(Total Surface Area of Cube/2)

Space Diagonal of Cube given Insphere Radius

Go Space Diagonal of Cube = 2*sqrt(3)*Insphere Radius of Cube

Space Diagonal of Cube given Midsphere Radius

Go Space Diagonal of Cube = sqrt(6)*Midsphere Radius of Cube

Space Diagonal of Cube given Face Perimeter

Go Space Diagonal of Cube = sqrt(3)/4*Face Perimeter of Cube

Space Diagonal of Cube given Face Diagonal

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

Space Diagonal of Cube given Perimeter

Go Space Diagonal of Cube = (sqrt(3)*Perimeter of Cube)/12

Space Diagonal of Cube given Volume

Go Space Diagonal of Cube = sqrt(3)*Volume of Cube^(1/3)

Space Diagonal of Cube

Go Space Diagonal of Cube = sqrt(3)*Edge Length of Cube

Space Diagonal of Cube given Face Area

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

Space Diagonal of Cube given Circumsphere Radius

Go Space Diagonal of Cube = 2*Circumsphere Radius of Cube

< 7 Diagonal of Cube Calculators

Face Diagonal of Cube given Lateral Surface Area

Go Face Diagonal of Cube = sqrt(Lateral Surface Area of Cube/2)

Space Diagonal of Cube given Total Surface Area

Go Space Diagonal of Cube = sqrt(Total 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)

Space Diagonal of Cube given Perimeter

Go Space Diagonal of Cube = (sqrt(3)*Perimeter of Cube)/12

Space Diagonal of Cube

Go Space Diagonal of Cube = sqrt(3)*Edge Length of Cube

Face Diagonal of Cube

Go Face Diagonal of Cube = sqrt(2)*Edge Length of Cube

Space Diagonal of Cube given Circumsphere Radius

Go Space Diagonal of Cube = 2*Circumsphere Radius of Cube

Space Diagonal of Cube given Total Surface Area Formula

Space Diagonal of Cube = sqrt(Total Surface Area of Cube/2)
d_Space = sqrt(TSA/2)

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 Space Diagonal of Cube given Total Surface Area?

Space Diagonal of Cube given Total Surface Area calculator uses Space Diagonal of Cube = sqrt(Total Surface Area of Cube/2) to calculate the Space Diagonal of Cube, Space Diagonal of Cube given Total Surface Area formula is defined as the distance from any corner to the opposite and farthest corner of the Cube, and calculated using the total surface area of the Cube. Space Diagonal of Cube is denoted by d_Space symbol.

How to calculate Space Diagonal of Cube given Total Surface Area using this online calculator? To use this online calculator for Space Diagonal of Cube given Total Surface Area, enter Total Surface Area of Cube (TSA) and hit the calculate button. Here is how the Space Diagonal of Cube given Total Surface Area calculation can be explained with given input values -> 17.32051 = sqrt(600/2).

FAQ

What is Space Diagonal of Cube given Total Surface Area?

Space Diagonal of Cube given Total Surface Area formula is defined as the distance from any corner to the opposite and farthest corner of the Cube, and calculated using the total surface area of the Cube and is represented as d_Space = sqrt(TSA/2) or Space Diagonal of Cube = sqrt(Total Surface Area of Cube/2). Total Surface Area of Cube is the quantity of plane enclosed by the entire surface of the Cube.

How to calculate Space Diagonal of Cube given Total Surface Area?

Space Diagonal of Cube given Total Surface Area formula is defined as the distance from any corner to the opposite and farthest corner of the Cube, and calculated using the total surface area of the Cube is calculated using Space Diagonal of Cube = sqrt(Total Surface Area of Cube/2). To calculate Space Diagonal of Cube given Total Surface Area, you need Total Surface Area of Cube (TSA). With our tool, you need to enter the respective value for Total Surface Area 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 Space Diagonal of Cube?

In this formula, Space Diagonal of Cube uses Total Surface Area of Cube. We can use 16 other way(s) to calculate the same, which is/are as follows -

Space Diagonal of Cube = sqrt(3/4*Lateral Surface Area of Cube)
Space Diagonal of Cube = sqrt(3)*Edge Length of Cube
Space Diagonal of Cube = sqrt(3/2)*Face Diagonal of Cube
Space Diagonal of Cube = sqrt(3*Face Area of Cube)
Space Diagonal of Cube = sqrt(3)/4*Face Perimeter of Cube
Space Diagonal of Cube = sqrt(3)*Volume of Cube^(1/3)
Space Diagonal of Cube = 2*sqrt(3)*Insphere Radius of Cube
Space Diagonal of Cube = 2*sqrt(3)*Inscribed Cylinder Radius of Cube
Space Diagonal of Cube = 2*Circumsphere Radius of Cube
Space Diagonal of Cube = sqrt(6)*Circumscribed Cylinder Radius of Cube
Space Diagonal of Cube = sqrt(6)*Midsphere Radius of Cube
Space Diagonal of Cube = (6*sqrt(3))/Surface to Volume Ratio of Cube
Space Diagonal of Cube = (sqrt(3)*Perimeter of Cube)/12
Space Diagonal of Cube = sqrt(3)*Edge Length of Cube
Space Diagonal of Cube = (sqrt(3)*Perimeter of Cube)/12
Space Diagonal of Cube = 2*Circumsphere Radius of Cube

Home

FREE PDFs

🔍 Search