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Surface to Volume Ratio of Ramp given Hypotenuse, Adjacent Side and Width Formula

GoSurface to Volume Ratio of Ramp Formula

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Surface to Volume Ratio of Ramp is the fraction of surface area to the volume of Ramp. Check FAQs

R A/V = \frac{(S Adjacent \cdot \sqrt{H^{2} - {S Adjacent}^{2}}) + (w \cdot (S Adjacent + \sqrt{H^{2} - {S Adjacent}^{2}} + H))}{S Adjacent \cdot \sqrt{H^{2} - {S Adjacent}^{2}} \cdot \frac{w}{2}}

R_A/V - Surface to Volume Ratio of Ramp?S_Adjacent - Adjacent Side of Ramp?H - Hypotenuse of Ramp?w - Width of Ramp?

Surface to Volume Ratio of Ramp given Hypotenuse, Adjacent Side and Width Example

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Here is how the Surface to Volume Ratio of Ramp given Hypotenuse, Adjacent Side and Width equation looks like with Values.

Here is how the Surface to Volume Ratio of Ramp given Hypotenuse, Adjacent Side and Width equation looks like with Units.

Here is how the Surface to Volume Ratio of Ramp given Hypotenuse, Adjacent Side and Width equation looks like.

1.2 = \frac{(12 \cdot \sqrt{13^{2} - 12^{2}}) + (10 \cdot (12 + \sqrt{13^{2} - 12^{2}} + 13))}{12 \cdot \sqrt{13^{2} - 12^{2}} \cdot \frac{10}{2}}

1.2m⁻¹ = \frac{(12m \cdot \sqrt{{13m}^{2} - {12m}^{2}}) + (10m \cdot (12m + \sqrt{{13m}^{2} - {12m}^{2}} + 13m))}{12m \cdot \sqrt{{13m}^{2} - {12m}^{2}} \cdot \frac{10m}{2}}

1.2 = \frac{(12 \cdot \sqrt{13^{2} - 12^{2}}) + (10 \cdot (12 + \sqrt{13^{2} - 12^{2}} + 13))}{12 \cdot \sqrt{13^{2} - 12^{2}} \cdot \frac{10}{2}}

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Surface to Volume Ratio of Ramp given Hypotenuse, Adjacent Side and Width Solution

Follow our step by step solution on how to calculate Surface to Volume Ratio of Ramp given Hypotenuse, Adjacent Side and Width?

FIRST Step Consider the formula

R A/V = \frac{(S Adjacent \cdot \sqrt{H^{2} - {S Adjacent}^{2}}) + (w \cdot (S Adjacent + \sqrt{H^{2} - {S Adjacent}^{2}} + H))}{S Adjacent \cdot \sqrt{H^{2} - {S Adjacent}^{2}} \cdot \frac{w}{2}}

Next Step Substitute values of Variables

∴

R A/V = \frac{(12m \cdot \sqrt{{13m}^{2} - {12m}^{2}}) + (10m \cdot (12m + \sqrt{{13m}^{2} - {12m}^{2}} + 13m))}{12m \cdot \sqrt{{13m}^{2} - {12m}^{2}} \cdot \frac{10m}{2}}

Next Step Prepare to Evaluate

∴

R A/V = \frac{(12 \cdot \sqrt{13^{2} - 12^{2}}) + (10 \cdot (12 + \sqrt{13^{2} - 12^{2}} + 13))}{12 \cdot \sqrt{13^{2} - 12^{2}} \cdot \frac{10}{2}}

LAST Step Evaluate

∴

R A/V = 1.2m⁻¹

Surface to Volume Ratio of Ramp given Hypotenuse, Adjacent Side and Width Formula Elements

Variables

Functions

Surface to Volume Ratio of Ramp

Surface to Volume Ratio of Ramp is the fraction of surface area to the volume of Ramp.

Symbol: R_A/V

Measurement: Reciprocal LengthUnit: m⁻¹

Note: Value should be greater than 0.

Formulas to find Surface to Volume Ratio of Ramp

Adjacent Side of Ramp

Adjacent Side of Ramp is the base of the right triangle which is formed when a rectangular surface is raised at an angle to form the Ramp.

Symbol: S_Adjacent

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Adjacent Side of Ramp

Hypotenuse of Ramp

Hypotenuse of Ramp is the hypotenuse of the right triangle formed when a rectangular surface is raised at an angle to form the Ramp.

Symbol: H

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Hypotenuse of Ramp

Width of Ramp

Width of Ramp is the measurement or extent of Ramp from side to side and equal to the width of the vertical rectangle which is formed when a rectangular plane is raised at an angle to form the Ramp.

Symbol: w

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Width of Ramp

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 Surface to Volume Ratio of Ramp

Go Surface to Volume Ratio of Ramp

R A/V = \frac{(S Adjacent \cdot S Opposite) + (w \cdot (S Adjacent + S Opposite + \sqrt{{S Adjacent}^{2} + {S Opposite}^{2}}))}{S Adjacent \cdot S Opposite \cdot \frac{w}{2}}

How to Evaluate Surface to Volume Ratio of Ramp given Hypotenuse, Adjacent Side and Width?

Surface to Volume Ratio of Ramp given Hypotenuse, Adjacent Side and Width evaluator uses Surface to Volume Ratio of Ramp = ((Adjacent Side of Ramp*sqrt(Hypotenuse of Ramp^2-Adjacent Side of Ramp^2))+(Width of Ramp*(Adjacent Side of Ramp+sqrt(Hypotenuse of Ramp^2-Adjacent Side of Ramp^2)+Hypotenuse of Ramp)))/(Adjacent Side of Ramp*sqrt(Hypotenuse of Ramp^2-Adjacent Side of Ramp^2)*Width of Ramp/2) to evaluate the Surface to Volume Ratio of Ramp, Surface to Volume Ratio of Ramp given Hypotenuse, Adjacent Side and Width formula is defined as the fraction of surface area to the volume of the Ramp and calculated using the adjacent side, hypotenuse, and width of the Ramp. Surface to Volume Ratio of Ramp is denoted by R_A/V symbol.

How to evaluate Surface to Volume Ratio of Ramp given Hypotenuse, Adjacent Side and Width using this online evaluator? To use this online evaluator for Surface to Volume Ratio of Ramp given Hypotenuse, Adjacent Side and Width, enter Adjacent Side of Ramp (S_Adjacent), Hypotenuse of Ramp (H) & Width of Ramp (w) and hit the calculate button.

FAQs on Surface to Volume Ratio of Ramp given Hypotenuse, Adjacent Side and Width

What is the formula to find Surface to Volume Ratio of Ramp given Hypotenuse, Adjacent Side and Width?

The formula of Surface to Volume Ratio of Ramp given Hypotenuse, Adjacent Side and Width is expressed as Surface to Volume Ratio of Ramp = ((Adjacent Side of Ramp*sqrt(Hypotenuse of Ramp^2-Adjacent Side of Ramp^2))+(Width of Ramp*(Adjacent Side of Ramp+sqrt(Hypotenuse of Ramp^2-Adjacent Side of Ramp^2)+Hypotenuse of Ramp)))/(Adjacent Side of Ramp*sqrt(Hypotenuse of Ramp^2-Adjacent Side of Ramp^2)*Width of Ramp/2). Here is an example- 1.2 = ((12*sqrt(13^2-12^2))+(10*(12+sqrt(13^2-12^2)+13)))/(12*sqrt(13^2-12^2)*10/2).

How to calculate Surface to Volume Ratio of Ramp given Hypotenuse, Adjacent Side and Width?

With Adjacent Side of Ramp (S_Adjacent), Hypotenuse of Ramp (H) & Width of Ramp (w) we can find Surface to Volume Ratio of Ramp given Hypotenuse, Adjacent Side and Width using the formula - Surface to Volume Ratio of Ramp = ((Adjacent Side of Ramp*sqrt(Hypotenuse of Ramp^2-Adjacent Side of Ramp^2))+(Width of Ramp*(Adjacent Side of Ramp+sqrt(Hypotenuse of Ramp^2-Adjacent Side of Ramp^2)+Hypotenuse of Ramp)))/(Adjacent Side of Ramp*sqrt(Hypotenuse of Ramp^2-Adjacent Side of Ramp^2)*Width of Ramp/2). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Surface to Volume Ratio of Ramp?

Here are the different ways to Calculate Surface to Volume Ratio of Ramp-

Surface to Volume Ratio of Ramp=((Adjacent Side of Ramp*Opposite Side of Ramp)+(Width of Ramp*(Adjacent Side of Ramp+Opposite Side of Ramp+sqrt(Adjacent Side of Ramp^2+Opposite Side of Ramp^2))))/(Adjacent Side of Ramp*Opposite Side of Ramp*Width of Ramp/2)

Can the Surface to Volume Ratio of Ramp given Hypotenuse, Adjacent Side and Width be negative?

No, the Surface to Volume Ratio of Ramp given Hypotenuse, Adjacent Side and Width, measured in Reciprocal Length cannot be negative.

Which unit is used to measure Surface to Volume Ratio of Ramp given Hypotenuse, Adjacent Side and Width?

Surface to Volume Ratio of Ramp given Hypotenuse, Adjacent Side and Width is usually measured using the 1 per Meter[m⁻¹] for Reciprocal Length. 1 per Kilometer[m⁻¹], 1 per Mile[m⁻¹], 1 per Yard[m⁻¹] are the few other units in which Surface to Volume Ratio of Ramp given Hypotenuse, Adjacent Side and Width can be measured.

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Surface to Volume Ratio of Ramp given Hypotenuse, Adjacent Side and Width Formula

​GoSurface to Volume Ratio of Ramp Formula

Surface to Volume Ratio of Ramp given Hypotenuse, Adjacent Side and Width Example

Surface to Volume Ratio of Ramp given Hypotenuse, Adjacent Side and Width Solution

Surface to Volume Ratio of Ramp given Hypotenuse, Adjacent Side and Width Formula Elements

Other Formulas to find Surface to Volume Ratio of Ramp

How to Evaluate Surface to Volume Ratio of Ramp given Hypotenuse, Adjacent Side and Width?

FAQs on Surface to Volume Ratio of Ramp given Hypotenuse, Adjacent Side and Width

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GoSurface to Volume Ratio of Ramp Formula