## Space Diagonal of Cube given Lateral Surface Area Solution

STEP 0: Pre-Calculation Summary
Formula Used
Space Diagonal of Cube = sqrt(3/4*Lateral Surface Area of Cube)
dSpace = sqrt(3/4*LSA)
This formula uses 1 Functions, 2 Variables
Functions Used
sqrt - Square root function, 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.
Lateral Surface Area of Cube - (Measured in Square Meter) - Lateral Surface Area of Cube is the quantity of plane enclosed by all the lateral surfaces (that is, top and bottom faces are excluded) of the Cube.
STEP 1: Convert Input(s) to Base Unit
Lateral Surface Area of Cube: 400 Square Meter --> 400 Square Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
dSpace = sqrt(3/4*LSA) --> sqrt(3/4*400)
Evaluating ... ...
dSpace = 17.3205080756888
STEP 3: Convert Result to Output's Unit
17.3205080756888 Meter --> No Conversion Required
17.3205080756888 17.32051 Meter <-- Space Diagonal of Cube
(Calculation completed in 00.004 seconds)
You are here -
Home » Math » Cube »

## Credits

Created by Anamika Mittal
Vellore Institute of Technology (VIT), Bhopal
Anamika Mittal has created this Calculator and 50+ more calculators!
Verified by Shweta Patil
Walchand College of Engineering (WCE), Sangli
Shweta Patil has verified this Calculator and 1100+ more calculators!

## < 14 Space Diagonal of Cube Calculators

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

## Space Diagonal of Cube given Lateral Surface Area Formula

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

## 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 Lateral Surface Area?

Space Diagonal of Cube given Lateral Surface Area calculator uses Space Diagonal of Cube = sqrt(3/4*Lateral Surface Area of Cube) to calculate the Space Diagonal of Cube, Space Diagonal of Cube given Lateral Surface Area formula is defined as the distance from any corner to the opposite and farthest corner of the Cube, and calculated using the lateral surface area of the Cube. Space Diagonal of Cube is denoted by dSpace symbol.

How to calculate Space Diagonal of Cube given Lateral Surface Area using this online calculator? To use this online calculator for Space Diagonal of Cube given Lateral Surface Area, enter Lateral Surface Area of Cube (LSA) and hit the calculate button. Here is how the Space Diagonal of Cube given Lateral Surface Area calculation can be explained with given input values -> 17.32051 = sqrt(3/4*400).

### FAQ

What is Space Diagonal of Cube given Lateral Surface Area?
Space Diagonal of Cube given Lateral Surface Area formula is defined as the distance from any corner to the opposite and farthest corner of the Cube, and calculated using the lateral surface area of the Cube and is represented as dSpace = sqrt(3/4*LSA) or Space Diagonal of Cube = sqrt(3/4*Lateral Surface Area of Cube). Lateral Surface Area of Cube is the quantity of plane enclosed by all the lateral surfaces (that is, top and bottom faces are excluded) of the Cube.
How to calculate Space Diagonal of Cube given Lateral Surface Area?
Space Diagonal of Cube given Lateral Surface Area formula is defined as the distance from any corner to the opposite and farthest corner of the Cube, and calculated using the lateral surface area of the Cube is calculated using Space Diagonal of Cube = sqrt(3/4*Lateral Surface Area of Cube). To calculate Space Diagonal of Cube given Lateral Surface Area, you need Lateral Surface Area of Cube (LSA). With our tool, you need to enter the respective value for Lateral 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 Lateral Surface Area of Cube. We can use 13 other way(s) to calculate the same, which is/are as follows -
• Space Diagonal of Cube = sqrt(Total Surface Area of Cube/2)
• 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 Let Others Know