Space Diagonal of Cube given Lateral Surface Area Calculator

✖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.ⓘ Lateral Surface Area of Cube [LSA]

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

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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)
d_Space = sqrt(3/4*LSA)
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.
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

d_Space = sqrt(3/4*LSA) --> sqrt(3/4*400)

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 00.020 seconds)

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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

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< Space Diagonal of Cube Calculators

Space Diagonal of Cube given Lateral Surface Area

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

Space Diagonal of Cube given Total Surface Area

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

Space Diagonal of Cube given Face Diagonal

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

Space Diagonal of Cube

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

Space Diagonal of Cube given Lateral Surface Area Formula

LaTeX Go

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

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