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Edge Length of Rhombohedron given Total Surface Area Formula

GoEdge Length of Rhombohedron given Volume Formula

GoEdge Length of Rhombohedron given Surface to Volume Ratio Formula

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Edge Length of Rhombohedron is the distance between any pair of adjacent vertices of the Rhombohedron. Check FAQs

l e = \sqrt{\frac{TSA}{6 \cdot \sin (∠ Acute)}}

l_e - Edge Length of Rhombohedron?TSA - Total Surface Area of Rhombohedron?∠_Acute - Acute Angle of Rhombohedron?

Edge Length of Rhombohedron given Total Surface Area Example

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Here is how the Edge Length of Rhombohedron given Total Surface Area equation looks like with Values.

Here is how the Edge Length of Rhombohedron given Total Surface Area equation looks like with Units.

Here is how the Edge Length of Rhombohedron given Total Surface Area equation looks like.

10.0041 = \sqrt{\frac{460}{6 \cdot \sin (50)}}

10.0041m = \sqrt{\frac{460m²}{6 \cdot \sin (50°)}}

10.0041 = \sqrt{\frac{460}{6 \cdot \sin (50)}}

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Edge Length of Rhombohedron given Total Surface Area Solution

Follow our step by step solution on how to calculate Edge Length of Rhombohedron given Total Surface Area?

FIRST Step Consider the formula

l e = \sqrt{\frac{TSA}{6 \cdot \sin (∠ Acute)}}

Next Step Substitute values of Variables

∴

l e = \sqrt{\frac{460m²}{6 \cdot \sin (50°)}}

Next Step Convert Units

∴

l e = \sqrt{\frac{460m²}{6 \cdot \sin (0.8727rad)}}

Next Step Prepare to Evaluate

∴

l e = \sqrt{\frac{460}{6 \cdot \sin (0.8727)}}

Next Step Evaluate

∴

l e = 10.0040604514111m

LAST Step Rounding Answer

∴

l e = 10.0041m

Edge Length of Rhombohedron given Total Surface Area Formula Elements

Variables

Functions

Edge Length of Rhombohedron

Edge Length of Rhombohedron is the distance between any pair of adjacent vertices of the Rhombohedron.

Symbol: l_e

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Edge Length of Rhombohedron

Total Surface Area of Rhombohedron

Total Surface Area of Rhombohedron is the total quantity of plane enclosed on the entire surface of the Rhombohedron.

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area of Rhombohedron

Acute Angle of Rhombohedron

Acute Angle of Rhombohedron is the angle of any of the six rhombus faces of the Rhombohedron, which is less than 90 degrees.

Symbol: ∠_Acute

Measurement: AngleUnit: °

Note: Value should be between 0 to 90.

Formulas to find Acute Angle of Rhombohedron

sin

Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse.

Syntax: sin(Angle)

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 Edge Length of Rhombohedron

Go Edge Length of Rhombohedron given Volume

l e = {(\frac{V}{(1 - \cos (∠ Acute)) \cdot \sqrt{1 + 2 \cdot \cos (∠ Acute)}})}^{\frac{1}{3}}

Go Edge Length of Rhombohedron given Surface to Volume Ratio

l e = \frac{6 \cdot \sin (∠ Acute)}{R A/V \cdot (1 - \cos (∠ Acute)) \cdot \sqrt{1 + 2 \cdot \cos (∠ Acute)}}

How to Evaluate Edge Length of Rhombohedron given Total Surface Area?

Edge Length of Rhombohedron given Total Surface Area evaluator uses Edge Length of Rhombohedron = sqrt(Total Surface Area of Rhombohedron/(6*sin(Acute Angle of Rhombohedron))) to evaluate the Edge Length of Rhombohedron, Edge Length of Rhombohedron given Total Surface Area formula is defined as the distance between any pair of adjacent vertices of the Rhombohedron, calculated using its total surface area. Edge Length of Rhombohedron is denoted by l_e symbol.

How to evaluate Edge Length of Rhombohedron given Total Surface Area using this online evaluator? To use this online evaluator for Edge Length of Rhombohedron given Total Surface Area, enter Total Surface Area of Rhombohedron (TSA) & Acute Angle of Rhombohedron (∠_Acute) and hit the calculate button.

FAQs on Edge Length of Rhombohedron given Total Surface Area

What is the formula to find Edge Length of Rhombohedron given Total Surface Area?

The formula of Edge Length of Rhombohedron given Total Surface Area is expressed as Edge Length of Rhombohedron = sqrt(Total Surface Area of Rhombohedron/(6*sin(Acute Angle of Rhombohedron))). Here is an example- 10.00406 = sqrt(460/(6*sin(0.872664625997001))).

How to calculate Edge Length of Rhombohedron given Total Surface Area?

With Total Surface Area of Rhombohedron (TSA) & Acute Angle of Rhombohedron (∠_Acute) we can find Edge Length of Rhombohedron given Total Surface Area using the formula - Edge Length of Rhombohedron = sqrt(Total Surface Area of Rhombohedron/(6*sin(Acute Angle of Rhombohedron))). This formula also uses Sine (sin), Square Root (sqrt) function(s).

What are the other ways to Calculate Edge Length of Rhombohedron?

Here are the different ways to Calculate Edge Length of Rhombohedron-

Edge Length of Rhombohedron=(Volume of Rhombohedron/((1-cos(Acute Angle of Rhombohedron))*sqrt(1+2*cos(Acute Angle of Rhombohedron))))^(1/3)
Edge Length of Rhombohedron=(6*sin(Acute Angle of Rhombohedron))/(Surface to Volume Ratio of Rhombohedron*(1-cos(Acute Angle of Rhombohedron))*sqrt(1+2*cos(Acute Angle of Rhombohedron)))

Can the Edge Length of Rhombohedron given Total Surface Area be negative?

No, the Edge Length of Rhombohedron given Total Surface Area, measured in Length cannot be negative.

Which unit is used to measure Edge Length of Rhombohedron given Total Surface Area?

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

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