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Diagonal of Cube given lateral surface area Solution

STEP 0: Pre-Calculation Summary
Formula Used
diagonal = ((Lateral Surface Area/4)^(0.5))*(3^(0.5))
d = ((SALateral/4)^(0.5))*(3^(0.5))
This formula uses 1 Variables
Variables Used
Lateral Surface Area - The Lateral Surface Area of an object is the area of all the sides of the object, excluding the area of its base and top. (Measured in Square Meter)
STEP 1: Convert Input(s) to Base Unit
Lateral Surface Area: 40 Square Meter --> 40 Square Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
d = ((SALateral/4)^(0.5))*(3^(0.5)) --> ((40/4)^(0.5))*(3^(0.5))
Evaluating ... ...
d = 5.47722557505166
STEP 3: Convert Result to Output's Unit
5.47722557505166 Meter --> No Conversion Required
FINAL ANSWER
5.47722557505166 Meter <-- Diagonal
(Calculation completed in 00.000 seconds)

4 Diagonal of Cube Calculators

Diagonal of Cube given total surface area
diagonal = sqrt(Total Surface Area/2) Go
Maximum face diagonal length of cube given side length
diagonal = Side*(sqrt(2)) Go
Diagonal of Cube given lateral surface area
diagonal = ((Lateral Surface Area/4)^(0.5))*(3^(0.5)) Go
Diagonal of Cube
diagonal = sqrt(3)*Side Go

Diagonal of Cube given lateral surface area Formula

diagonal = ((Lateral Surface Area/4)^(0.5))*(3^(0.5))
d = ((SALateral/4)^(0.5))*(3^(0.5))

How are cubes used in real life?

Cubes are everywhere! Common examples of cubes in real world include, square ice cubes, dice, sugar cubes, casserole, solid square tables, milk crates etc. The volume of a solid cube is the amount of space occupied by the solid cube.

How to Calculate Diagonal of Cube given lateral surface area?

Diagonal of Cube given lateral surface area calculator uses diagonal = ((Lateral Surface Area/4)^(0.5))*(3^(0.5)) to calculate the Diagonal, The Diagonal of Cube given lateral surface area formula is defined as the product of square root of 3 and the square of LSA divided by 4. Diagonal and is denoted by d symbol.

How to calculate Diagonal of Cube given lateral surface area using this online calculator? To use this online calculator for Diagonal of Cube given lateral surface area, enter Lateral Surface Area (SALateral) and hit the calculate button. Here is how the Diagonal of Cube given lateral surface area calculation can be explained with given input values -> 5.477226 = ((40/4)^(0.5))*(3^(0.5)).

FAQ

What is Diagonal of Cube given lateral surface area?
The Diagonal of Cube given lateral surface area formula is defined as the product of square root of 3 and the square of LSA divided by 4 and is represented as d = ((SALateral/4)^(0.5))*(3^(0.5)) or diagonal = ((Lateral Surface Area/4)^(0.5))*(3^(0.5)). The Lateral Surface Area of an object is the area of all the sides of the object, excluding the area of its base and top.
How to calculate Diagonal of Cube given lateral surface area?
The Diagonal of Cube given lateral surface area formula is defined as the product of square root of 3 and the square of LSA divided by 4 is calculated using diagonal = ((Lateral Surface Area/4)^(0.5))*(3^(0.5)). To calculate Diagonal of Cube given lateral surface area, you need Lateral Surface Area (SALateral). With our tool, you need to enter the respective value for Lateral Surface Area 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 Diagonal?
In this formula, Diagonal uses Lateral Surface Area. We can use 4 other way(s) to calculate the same, which is/are as follows -
  • diagonal = sqrt(Total Surface Area/2)
  • diagonal = sqrt(3)*Side
  • diagonal = Side*(sqrt(2))
  • diagonal = ((Lateral Surface Area/4)^(0.5))*(3^(0.5))
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