Edge Length 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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✖Edge Length of Cube is the length of any edge of a Cube.ⓘ Edge Length of Cube given Lateral Surface Area [l_e]

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Edge Length of Cube given Lateral Surface Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

Edge Length of Cube = sqrt(Lateral Surface Area of Cube/4)
l_e = sqrt(LSA/4)
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

Edge Length of Cube - (Measured in Meter) - Edge Length of Cube is the length of any edge of a 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

l_e = sqrt(LSA/4) --> sqrt(400/4)

Evaluating ... ...

l_e = 10

STEP 3: Convert Result to Output's Unit

10 Meter --> No Conversion Required

FINAL ANSWER

10 Meter <-- Edge Length of Cube

(Calculation completed in 00.004 seconds)

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Created by Anamika Mittal

Vellore Institute of Technology (VIT), Bhopal

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St Joseph's College (SJC), Bengaluru

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< Edge Length of Cube Calculators

Edge Length of Cube given Lateral Surface Area

LaTeX Go Edge Length of Cube = sqrt(Lateral Surface Area of Cube/4)

Edge Length of Cube given Total Surface Area

LaTeX Go Edge Length of Cube = sqrt(Total Surface Area of Cube/6)

Edge Length of Cube given Space Diagonal

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

Edge Length of Cube given Face Diagonal

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

Edge Length of Cube given Lateral Surface Area Formula

LaTeX Go

Edge Length of Cube = sqrt(Lateral Surface Area of Cube/4)
l_e = sqrt(LSA/4)

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 Edge Length of Cube given Lateral Surface Area?

Edge Length of Cube given Lateral Surface Area calculator uses Edge Length of Cube = sqrt(Lateral Surface Area of Cube/4) to calculate the Edge Length of Cube, Edge Length of Cube given Lateral Surface Area formula is defined as the length of any edge of the Cube, and calculated using the lateral surface area of the Cube. Edge Length of Cube is denoted by l_e symbol.

How to calculate Edge Length of Cube given Lateral Surface Area using this online calculator? To use this online calculator for Edge Length of Cube given Lateral Surface Area, enter Lateral Surface Area of Cube (LSA) and hit the calculate button. Here is how the Edge Length of Cube given Lateral Surface Area calculation can be explained with given input values -> 10 = sqrt(400/4).

FAQ

What is Edge Length of Cube given Lateral Surface Area?

Edge Length of Cube given Lateral Surface Area formula is defined as the length of any edge of the Cube, and calculated using the lateral surface area of the Cube and is represented as l_e = sqrt(LSA/4) or Edge Length of Cube = sqrt(Lateral Surface Area of Cube/4). 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 Edge Length of Cube given Lateral Surface Area?

Edge Length of Cube given Lateral Surface Area formula is defined as the length of any edge of the Cube, and calculated using the lateral surface area of the Cube is calculated using Edge Length of Cube = sqrt(Lateral Surface Area of Cube/4). To calculate Edge Length 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 Edge Length of Cube?

In this formula, Edge Length of Cube uses Lateral Surface Area of Cube. We can use 3 other way(s) to calculate the same, which is/are as follows -

Edge Length of Cube = sqrt(Total Surface Area of Cube/6)
Edge Length of Cube = Space Diagonal of Cube/(sqrt(3))
Edge Length of Cube = Face Diagonal of Cube/sqrt(2)

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