Face 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]

+10%

-10%

✖Face Diagonal of Cube is the distance between any pair of opposite corners on a particular square face of the Cube.ⓘ Face Diagonal of Cube given Lateral Surface Area [d_Face]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Cube Formula PDF PDF Image

Face Diagonal of Cube given Lateral Surface Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Face Diagonal of Cube - (Measured in Meter) - Face Diagonal of Cube is the distance between any pair of opposite corners on a particular square face 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_Face = sqrt(LSA/2) --> sqrt(400/2)

Evaluating ... ...

d_Face = 14.142135623731

STEP 3: Convert Result to Output's Unit

14.142135623731 Meter --> No Conversion Required

FINAL ANSWER

14.142135623731 ≈ 14.14214 Meter <-- Face Diagonal of Cube

(Calculation completed in 00.004 seconds)

You are here -

Home » Math » Geometry » 3D Geometry » Platonic Solids » Cube » Diagonal of Cube » Face Diagonal of Cube » Face Diagonal of Cube given Lateral Surface Area

Credits

Created by Nishan Poojary

Shri Madhwa Vadiraja Institute of Technology and Management (SMVITM), Udupi

Nishan Poojary has created this Calculator and 500+ more calculators!

Verified by Mona Gladys

St Joseph's College (SJC), Bengaluru

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

< Face Diagonal of Cube Calculators

Face Diagonal of Cube given Lateral Surface Area

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

Face Diagonal of Cube given Total Surface Area

LaTeX Go Face Diagonal of Cube = sqrt(Total Surface Area of Cube/3)

Face Diagonal of Cube

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

Face Diagonal of Cube given Face Area

LaTeX Go Face Diagonal of Cube = sqrt(2*Face Area of Cube)

< Diagonal of Cube Calculators

Face Diagonal of Cube given Lateral Surface Area

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

Face Diagonal of Cube given Total Surface Area

LaTeX Go Face Diagonal of Cube = sqrt(Total Surface Area of Cube/3)

Space Diagonal of Cube

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

Face Diagonal of Cube

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

Face Diagonal of Cube given Lateral Surface Area Formula

LaTeX Go

Face Diagonal of Cube = sqrt(Lateral Surface Area of Cube/2)
d_Face = sqrt(LSA/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 Face Diagonal of Cube given Lateral Surface Area?

Face Diagonal of Cube given Lateral Surface Area calculator uses Face Diagonal of Cube = sqrt(Lateral Surface Area of Cube/2) to calculate the Face Diagonal of Cube, Face Diagonal of Cube given Lateral Surface Area formula is the distance between any pair of opposite corners on a particular square face of the Cube, and calculated using the lateral surface area of the Cube. Face Diagonal of Cube is denoted by d_Face symbol.

How to calculate Face Diagonal of Cube given Lateral Surface Area using this online calculator? To use this online calculator for Face Diagonal of Cube given Lateral Surface Area, enter Lateral Surface Area of Cube (LSA) and hit the calculate button. Here is how the Face Diagonal of Cube given Lateral Surface Area calculation can be explained with given input values -> 14.14214 = sqrt(400/2).

FAQ

What is Face Diagonal of Cube given Lateral Surface Area?

Face Diagonal of Cube given Lateral Surface Area formula is the distance between any pair of opposite corners on a particular square face of the Cube, and calculated using the lateral surface area of the Cube and is represented as d_Face = sqrt(LSA/2) or Face Diagonal of Cube = sqrt(Lateral Surface Area of Cube/2). 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 Face Diagonal of Cube given Lateral Surface Area?

Face Diagonal of Cube given Lateral Surface Area formula is the distance between any pair of opposite corners on a particular square face of the Cube, and calculated using the lateral surface area of the Cube is calculated using Face Diagonal of Cube = sqrt(Lateral Surface Area of Cube/2). To calculate Face 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 Face Diagonal of Cube?

In this formula, Face 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 -

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

Home

FREE PDFs

🔍 Search