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Total Surface Area of Rhombohedron given Obtuse Angle Formula

GoTotal Surface Area of Rhombohedron Formula

GoTotal Surface Area of Rhombohedron given Volume 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 {l e}^{2} \cdot \sin (π - ∠ Obtuse)

TSA - Total Surface Area of Rhombohedron?l_e - Edge Length of Rhombohedron?∠_Obtuse - Obtuse Angle of Rhombohedron?π - Archimedes' constant?

Total Surface Area of Rhombohedron given Obtuse Angle Example

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

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

Here is how the Total Surface Area of Rhombohedron given Obtuse Angle equation looks like.

459.6267 = 6 \cdot 10^{2} \cdot \sin (3.1416 - 130)

459.6267m² = 6 \cdot {10m}^{2} \cdot \sin (3.1416 - 130°)

459.6267 = 6 \cdot 10^{2} \cdot \sin (3.1416 - 130)

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Total Surface Area of Rhombohedron given Obtuse Angle Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

TSA = 6 \cdot {10m}^{2} \cdot \sin (π - 130°)

Next Step Substitute values of Constants

∴

TSA = 6 \cdot {10m}^{2} \cdot \sin (3.1416 - 130°)

Next Step Convert Units

∴

TSA = 6 \cdot {10m}^{2} \cdot \sin (3.1416 - 2.2689rad)

Next Step Prepare to Evaluate

∴

TSA = 6 \cdot 10^{2} \cdot \sin (3.1416 - 2.2689)

Next Step Evaluate

∴

TSA = 459.626665871552m²

LAST Step Rounding Answer

∴

TSA = 459.6267m²

Total Surface Area of Rhombohedron given Obtuse Angle Formula Elements

Variables

Constants

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

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

Obtuse Angle of Rhombohedron

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

Symbol: ∠_Obtuse

Measurement: AngleUnit: °

Note: Value should be between 90 to 180.

Formulas to find Obtuse Angle of Rhombohedron

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

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)

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 Volume

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

Go Total Surface Area of Rhombohedron given Surface to Volume Ratio

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)

How to Evaluate Total Surface Area of Rhombohedron given Obtuse Angle?

Total Surface Area of Rhombohedron given Obtuse Angle evaluator uses Total Surface Area of Rhombohedron = 6*Edge Length of Rhombohedron^2*sin(pi-Obtuse Angle of Rhombohedron) to evaluate the Total Surface Area of Rhombohedron, Total Surface Area of Rhombohedron given Obtuse Angle formula is defined as the total quantity of plane enclosed on the entire surface of the Rhombohedron, calculated using its obtuse angle. Total Surface Area of Rhombohedron is denoted by TSA symbol.

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

FAQs on Total Surface Area of Rhombohedron given Obtuse Angle

What is the formula to find Total Surface Area of Rhombohedron given Obtuse Angle?

The formula of Total Surface Area of Rhombohedron given Obtuse Angle is expressed as Total Surface Area of Rhombohedron = 6*Edge Length of Rhombohedron^2*sin(pi-Obtuse Angle of Rhombohedron). Here is an example- 459.6267 = 6*10^2*sin(pi-2.2689280275922).

How to calculate Total Surface Area of Rhombohedron given Obtuse Angle?

With Edge Length of Rhombohedron (l_e) & Obtuse Angle of Rhombohedron (∠_Obtuse) we can find Total Surface Area of Rhombohedron given Obtuse Angle using the formula - Total Surface Area of Rhombohedron = 6*Edge Length of Rhombohedron^2*sin(pi-Obtuse Angle of Rhombohedron). This formula also uses Archimedes' constant and Sine (sin) 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*(Volume of Rhombohedron/((1-cos(Acute Angle of Rhombohedron))*sqrt(1+2*cos(Acute Angle of Rhombohedron))))^(2/3)*sin(Acute Angle of Rhombohedron)
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)

Can the Total Surface Area of Rhombohedron given Obtuse Angle be negative?

No, the Total Surface Area of Rhombohedron given Obtuse Angle, measured in Area cannot be negative.

Which unit is used to measure Total Surface Area of Rhombohedron given Obtuse Angle?

Total Surface Area of Rhombohedron given Obtuse Angle 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 Obtuse Angle can be measured.

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