FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Total Surface Area of Rhombohedron given Volume Formula

GoTotal Surface Area of Rhombohedron Formula

GoTotal Surface Area of Rhombohedron given Obtuse Angle Formula

Fx Copy

LaTeX Copy

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

TSA - Total Surface Area of Rhombohedron?V - Volume of Rhombohedron?∠_Acute - Acute Angle of Rhombohedron?

Total Surface Area of Rhombohedron given Volume Example

With values

With units

Only example

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

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

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

459.6051 = 6 \cdot {(\frac{540}{(1 - \cos (50)) \cdot \sqrt{1 + 2 \cdot \cos (50)}})}^{\frac{2}{3}} \cdot \sin (50)

459.6051m² = 6 \cdot {(\frac{540m³}{(1 - \cos (50°)) \cdot \sqrt{1 + 2 \cdot \cos (50°)}})}^{\frac{2}{3}} \cdot \sin (50°)

459.6051 = 6 \cdot {(\frac{540}{(1 - \cos (50)) \cdot \sqrt{1 + 2 \cdot \cos (50)}})}^{\frac{2}{3}} \cdot \sin (50)

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Math » Category

Geometry » Category

3D Geometry » fx Total Surface Area of Rhombohedron given Volume

Total Surface Area of Rhombohedron given Volume Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

TSA = 6 \cdot {(\frac{540m³}{(1 - \cos (50°)) \cdot \sqrt{1 + 2 \cdot \cos (50°)}})}^{\frac{2}{3}} \cdot \sin (50°)

Next Step Convert Units

∴

TSA = 6 \cdot {(\frac{540m³}{(1 - \cos (0.8727rad)) \cdot \sqrt{1 + 2 \cdot \cos (0.8727rad)}})}^{\frac{2}{3}} \cdot \sin (0.8727rad)

Next Step Prepare to Evaluate

∴

TSA = 6 \cdot {(\frac{540}{(1 - \cos (0.8727)) \cdot \sqrt{1 + 2 \cdot \cos (0.8727)}})}^{\frac{2}{3}} \cdot \sin (0.8727)

Next Step Evaluate

∴

TSA = 459.605137133267m²

LAST Step Rounding Answer

∴

TSA = 459.6051m²

Total Surface Area of Rhombohedron given Volume 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

Volume of Rhombohedron

Volume of Rhombohedron is the total quantity of three dimensional space enclosed by the surface of the Rhombohedron.

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume 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)

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 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 Volume?

Total Surface Area of Rhombohedron given Volume evaluator uses 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) to evaluate the Total Surface Area of Rhombohedron, Total Surface Area of Rhombohedron given Volume formula is defined as the total quantity of plane enclosed on the entire surface of the Rhombohedron, calculated using its volume. Total Surface Area of Rhombohedron is denoted by TSA symbol.

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

FAQs on Total Surface Area of Rhombohedron given Volume

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

The formula of Total Surface Area of Rhombohedron given Volume is expressed as 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). Here is an example- 459.6051 = 6*(540/((1-cos(0.872664625997001))*sqrt(1+2*cos(0.872664625997001))))^(2/3)*sin(0.872664625997001).

How to calculate Total Surface Area of Rhombohedron given Volume?

With Volume of Rhombohedron (V) & Acute Angle of Rhombohedron (∠_Acute) we can find Total Surface Area of Rhombohedron given Volume using the formula - 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). 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*((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 Volume be negative?

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

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

Total Surface Area of Rhombohedron given Volume 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 Volume can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit