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Space Diagonal of Cube given Face Perimeter Formula

GoSpace Diagonal of Cube given Total Surface Area Formula

GoSpace Diagonal of Cube given Lateral Surface Area 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 = \frac{\sqrt{3}}{4} \cdot P Face

d_Space - Space Diagonal of Cube?P_Face - Face Perimeter of Cube?

Space Diagonal of Cube given Face Perimeter Example

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Here is how the Space Diagonal of Cube given Face Perimeter equation looks like with Values.

Here is how the Space Diagonal of Cube given Face Perimeter equation looks like with Units.

Here is how the Space Diagonal of Cube given Face Perimeter equation looks like.

17.3205 = \frac{\sqrt{3}}{4} \cdot 40

17.3205m = \frac{\sqrt{3}}{4} \cdot 40m

17.3205 = \frac{\sqrt{3}}{4} \cdot 40

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Space Diagonal of Cube given Face Perimeter Solution

Follow our step by step solution on how to calculate Space Diagonal of Cube given Face Perimeter?

FIRST Step Consider the formula

d Space = \frac{\sqrt{3}}{4} \cdot P Face

Next Step Substitute values of Variables

∴

d Space = \frac{\sqrt{3}}{4} \cdot 40m

Next Step Prepare to Evaluate

∴

d Space = \frac{\sqrt{3}}{4} \cdot 40

Next Step Evaluate

∴

d Space = 17.3205080756888m

LAST Step Rounding Answer

∴

d Space = 17.3205m

Space Diagonal of Cube given Face Perimeter 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

Face Perimeter of Cube

Face Perimeter of Cube is the total distance around the four edges of any face of the Cube.

Symbol: P_Face

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Face Perimeter 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 given Lateral Surface Area

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

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

How to Evaluate Space Diagonal of Cube given Face Perimeter?

Space Diagonal of Cube given Face Perimeter evaluator uses Space Diagonal of Cube = sqrt(3)/4*Face Perimeter of Cube to evaluate the Space Diagonal of Cube, The Space Diagonal of Cube given Face Perimeter formula is defined as the distance from any corner to the opposite and farthest corner of the Cube, and calculated using the face perimeter of the Cube. Space Diagonal of Cube is denoted by d_Space symbol.

How to evaluate Space Diagonal of Cube given Face Perimeter using this online evaluator? To use this online evaluator for Space Diagonal of Cube given Face Perimeter, enter Face Perimeter of Cube (P_Face) and hit the calculate button.

FAQs on Space Diagonal of Cube given Face Perimeter

What is the formula to find Space Diagonal of Cube given Face Perimeter?

The formula of Space Diagonal of Cube given Face Perimeter is expressed as Space Diagonal of Cube = sqrt(3)/4*Face Perimeter of Cube. Here is an example- 17.32051 = sqrt(3)/4*40.

How to calculate Space Diagonal of Cube given Face Perimeter?

With Face Perimeter of Cube (P_Face) we can find Space Diagonal of Cube given Face Perimeter using the formula - Space Diagonal of Cube = sqrt(3)/4*Face Perimeter 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(3/4*Lateral Surface Area of Cube)
Space Diagonal of Cube=sqrt(3)*Edge Length of Cube

Can the Space Diagonal of Cube given Face Perimeter be negative?

No, the Space Diagonal of Cube given Face Perimeter, measured in Length cannot be negative.

Which unit is used to measure Space Diagonal of Cube given Face Perimeter?

Space Diagonal of Cube given Face Perimeter 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 Face Perimeter can be measured.

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