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Space Diagonal of Cube given Lateral Surface Area Formula

GoSpace Diagonal of Cube given Total Surface Area Formula

GoSpace Diagonal of Cube Formula

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Space Diagonal of Cube is the distance from any corner to the opposite and farthest corner of the Cube. Check FAQs

d Space = \sqrt{\frac{3}{4} \cdot LSA}

d_Space - Space Diagonal of Cube?LSA - Lateral Surface Area of Cube?

Space Diagonal of Cube given Lateral Surface Area Example

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Here is how the Space Diagonal of Cube given Lateral Surface Area equation looks like with Values.

Here is how the Space Diagonal of Cube given Lateral Surface Area equation looks like with Units.

Here is how the Space Diagonal of Cube given Lateral Surface Area equation looks like.

17.3205 = \sqrt{\frac{3}{4} \cdot 400}

17.3205m = \sqrt{\frac{3}{4} \cdot 400m²}

17.3205 = \sqrt{\frac{3}{4} \cdot 400}

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Space Diagonal of Cube given Lateral Surface Area Solution

Follow our step by step solution on how to calculate Space Diagonal of Cube given Lateral Surface Area?

FIRST Step Consider the formula

d Space = \sqrt{\frac{3}{4} \cdot LSA}

Next Step Substitute values of Variables

∴

d Space = \sqrt{\frac{3}{4} \cdot 400m²}

Next Step Prepare to Evaluate

∴

d Space = \sqrt{\frac{3}{4} \cdot 400}

Next Step Evaluate

∴

d Space = 17.3205080756888m

LAST Step Rounding Answer

∴

d Space = 17.3205m

Space Diagonal of Cube given Lateral Surface Area Formula Elements

Variables

Functions

Space Diagonal of Cube

Space Diagonal of Cube is the distance from any corner to the opposite and farthest corner of the Cube.

Symbol: d_Space

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Space Diagonal of Cube

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.

Symbol: LSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Lateral Surface Area of Cube

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.

Syntax: sqrt(Number)

Other Formulas to find Space Diagonal of Cube

Go Space Diagonal of Cube given Total Surface Area

d Space = \sqrt{\frac{TSA}{2}}

Go Space Diagonal of Cube

d Space = \sqrt{3} \cdot l e

Go Space Diagonal of Cube given Face Diagonal

d Space = \sqrt{\frac{3}{2}} \cdot d Face

Go Space Diagonal of Cube given Face Area

d Space = \sqrt{3 \cdot A Face}

How to Evaluate Space Diagonal of Cube given Lateral Surface Area?

Space Diagonal of Cube given Lateral Surface Area evaluator uses Space Diagonal of Cube = sqrt(3/4*Lateral Surface Area of Cube) to evaluate 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 evaluate Space Diagonal of Cube given Lateral Surface Area using this online evaluator? To use this online evaluator for Space Diagonal of Cube given Lateral Surface Area, enter Lateral Surface Area of Cube (LSA) and hit the calculate button.

FAQs on Space Diagonal of Cube given Lateral Surface Area

What is the formula to find Space Diagonal of Cube given Lateral Surface Area?

The formula of Space Diagonal of Cube given Lateral Surface Area is expressed as Space Diagonal of Cube = sqrt(3/4*Lateral Surface Area of Cube). Here is an example- 17.32051 = sqrt(3/4*400).

How to calculate Space Diagonal of Cube given Lateral Surface Area?

With Lateral Surface Area of Cube (LSA) we can find Space Diagonal of Cube given Lateral Surface Area using the formula - Space Diagonal of Cube = sqrt(3/4*Lateral Surface Area of Cube). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Space Diagonal of Cube?

Here are the different ways to Calculate Space Diagonal of Cube-

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

Can the Space Diagonal of Cube given Lateral Surface Area be negative?

No, the Space Diagonal of Cube given Lateral Surface Area, measured in Length cannot be negative.

Which unit is used to measure Space Diagonal of Cube given Lateral Surface Area?

Space Diagonal of Cube given Lateral Surface Area is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Space Diagonal of Cube given Lateral Surface Area can be measured.

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