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Total Surface Area of Rhombohedron given Surface to Volume Ratio Formula

GoTotal Surface Area of Rhombohedron Formula

GoTotal Surface Area of Rhombohedron given Obtuse Angle Formula

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

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

TSA - Total Surface Area of Rhombohedron?∠_Acute - Acute Angle of Rhombohedron?R_A/V - Surface to Volume Ratio of Rhombohedron?

Total Surface Area of Rhombohedron given Surface to Volume Ratio Example

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Here is how the Total Surface Area of Rhombohedron given Surface to Volume Ratio equation looks like with Values.

Here is how the Total Surface Area of Rhombohedron given Surface to Volume Ratio equation looks like with Units.

Here is how the Total Surface Area of Rhombohedron given Surface to Volume Ratio equation looks like.

520.2201 = 6 \cdot {(\frac{6 \cdot \sin (50)}{0.8 \cdot (1 - \cos (50)) \cdot \sqrt{1 + 2 \cdot \cos (50)}})}^{2} \cdot \sin (50)

520.2201m² = 6 \cdot {(\frac{6 \cdot \sin (50°)}{0.8m⁻¹ \cdot (1 - \cos (50°)) \cdot \sqrt{1 + 2 \cdot \cos (50°)}})}^{2} \cdot \sin (50°)

520.2201 = 6 \cdot {(\frac{6 \cdot \sin (50)}{0.8 \cdot (1 - \cos (50)) \cdot \sqrt{1 + 2 \cdot \cos (50)}})}^{2} \cdot \sin (50)

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Total Surface Area of Rhombohedron given Surface to Volume Ratio Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

TSA = 6 \cdot {(\frac{6 \cdot \sin (50°)}{0.8m⁻¹ \cdot (1 - \cos (50°)) \cdot \sqrt{1 + 2 \cdot \cos (50°)}})}^{2} \cdot \sin (50°)

Next Step Convert Units

∴

TSA = 6 \cdot {(\frac{6 \cdot \sin (0.8727rad)}{0.8m⁻¹ \cdot (1 - \cos (0.8727rad)) \cdot \sqrt{1 + 2 \cdot \cos (0.8727rad)}})}^{2} \cdot \sin (0.8727rad)

Next Step Prepare to Evaluate

∴

TSA = 6 \cdot {(\frac{6 \cdot \sin (0.8727)}{0.8 \cdot (1 - \cos (0.8727)) \cdot \sqrt{1 + 2 \cdot \cos (0.8727)}})}^{2} \cdot \sin (0.8727)

Next Step Evaluate

∴

TSA = 520.2201011427m²

LAST Step Rounding Answer

∴

TSA = 520.2201m²

Total Surface Area of Rhombohedron given Surface to Volume Ratio Formula Elements

Variables

Functions

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

Surface to Volume Ratio of Rhombohedron

Surface to Volume Ratio of Rhombohedron is the numerical ratio of the total surface area of a Rhombohedron to the volume of the Rhombohedron.

Symbol: R_A/V

Measurement: Reciprocal LengthUnit: m⁻¹

Note: Value should be greater than 0.

Formulas to find Surface to Volume Ratio 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)

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(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 Total Surface Area of Rhombohedron

Go Total Surface Area of Rhombohedron

TSA = 6 \cdot {l e}^{2} \cdot \sin (∠ Acute)

Go Total Surface Area of Rhombohedron given Obtuse Angle

TSA = 6 \cdot {l e}^{2} \cdot \sin (π - ∠ Obtuse)

Go Total Surface Area of Rhombohedron given Volume

TSA = 6 \cdot {(\frac{V}{(1 - \cos (∠ Acute)) \cdot \sqrt{1 + 2 \cdot \cos (∠ Acute)}})}^{\frac{2}{3}} \cdot \sin (∠ Acute)

How to Evaluate Total Surface Area of Rhombohedron given Surface to Volume Ratio?

Total Surface Area of Rhombohedron given Surface to Volume Ratio evaluator uses Total Surface Area of Rhombohedron = 6*((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))))^2*sin(Acute Angle of Rhombohedron) to evaluate the Total Surface Area of Rhombohedron, Total Surface Area of Rhombohedron given Surface to Volume Ratio formula is defined as the total quantity of plane enclosed on the entire surface of the Rhombohedron, calculated using its surface to volume ratio. Total Surface Area of Rhombohedron is denoted by TSA symbol.

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

FAQs on Total Surface Area of Rhombohedron given Surface to Volume Ratio

What is the formula to find Total Surface Area of Rhombohedron given Surface to Volume Ratio?

The formula of Total Surface Area of Rhombohedron given Surface to Volume Ratio is expressed as Total Surface Area of Rhombohedron = 6*((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))))^2*sin(Acute Angle of Rhombohedron). Here is an example- 520.2201 = 6*((6*sin(0.872664625997001))/(0.8*(1-cos(0.872664625997001))*sqrt(1+2*cos(0.872664625997001))))^2*sin(0.872664625997001).

How to calculate Total Surface Area of Rhombohedron given Surface to Volume Ratio?

With Acute Angle of Rhombohedron (∠_Acute) & Surface to Volume Ratio of Rhombohedron (R_A/V) we can find Total Surface Area of Rhombohedron given Surface to Volume Ratio using the formula - Total Surface Area of Rhombohedron = 6*((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))))^2*sin(Acute Angle of Rhombohedron). This formula also uses Sine (sin)Cosine (cos), Square Root (sqrt) function(s).

What are the other ways to Calculate Total Surface Area of Rhombohedron?

Here are the different ways to Calculate Total Surface Area of Rhombohedron-

Total Surface Area of Rhombohedron=6*Edge Length of Rhombohedron^2*sin(Acute Angle of Rhombohedron)
Total Surface Area of Rhombohedron=6*Edge Length of Rhombohedron^2*sin(pi-Obtuse Angle of Rhombohedron)
Total Surface Area of Rhombohedron=6*(Volume of Rhombohedron/((1-cos(Acute Angle of Rhombohedron))*sqrt(1+2*cos(Acute Angle of Rhombohedron))))^(2/3)*sin(Acute Angle of Rhombohedron)

Can the Total Surface Area of Rhombohedron given Surface to Volume Ratio be negative?

No, the Total Surface Area of Rhombohedron given Surface to Volume Ratio, measured in Area cannot be negative.

Which unit is used to measure Total Surface Area of Rhombohedron given Surface to Volume Ratio?

Total Surface Area of Rhombohedron given Surface to Volume Ratio is usually measured using the Square Meter[m²] for Area. Square Kilometer[m²], Square Centimeter[m²], Square Millimeter[m²] are the few other units in which Total Surface Area of Rhombohedron given Surface to Volume Ratio can be measured.

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