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

✖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.ⓘ Adjacent Side of Ramp [S_Adjacent]			+10% -10%
✖Hypotenuse of Ramp is the hypotenuse of the right triangle formed when a rectangular surface is raised at an angle to form the Ramp.ⓘ Hypotenuse of Ramp [H]			+10% -10%
✖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.ⓘ Width of Ramp [w]			+10% -10%

✖Surface to Volume Ratio of Ramp is the fraction of surface area to the volume of Ramp.ⓘ Surface to Volume Ratio of Ramp given Hypotenuse, Adjacent Side and Width [R_A/V]

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

STEP 0: Pre-Calculation Summary

Formula Used

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)
R_A/V = ((S_Adjacent*sqrt(H^2-S_Adjacent^2))+(w*(S_Adjacent+sqrt(H^2-S_Adjacent^2)+H)))/(S_Adjacent*sqrt(H^2-S_Adjacent^2)*w/2)
This formula uses 1 Functions, 4 Variables

Functions Used

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., sqrt(Number)

Variables Used

Surface to Volume Ratio of Ramp - (Measured in 1 per Meter) - Surface to Volume Ratio of Ramp is the fraction of surface area to the volume of Ramp.
Adjacent Side of Ramp - (Measured in Meter) - 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.
Hypotenuse of Ramp - (Measured in Meter) - Hypotenuse of Ramp is the hypotenuse of the right triangle formed when a rectangular surface is raised at an angle to form the Ramp.
Width of Ramp - (Measured in Meter) - 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.

STEP 1: Convert Input(s) to Base Unit

Adjacent Side of Ramp: 12 Meter --> 12 Meter No Conversion Required
Hypotenuse of Ramp: 13 Meter --> 13 Meter No Conversion Required
Width of Ramp: 10 Meter --> 10 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_A/V = ((S_Adjacent*sqrt(H^2-S_Adjacent^2))+(w*(S_Adjacent+sqrt(H^2-S_Adjacent^2)+H)))/(S_Adjacent*sqrt(H^2-S_Adjacent^2)*w/2) --> ((12*sqrt(13^2-12^2))+(10*(12+sqrt(13^2-12^2)+13)))/(12*sqrt(13^2-12^2)*10/2)

Evaluating ... ...

R_A/V = 1.2

STEP 3: Convert Result to Output's Unit

1.2 1 per Meter --> No Conversion Required

FINAL ANSWER

1.2 1 per Meter <-- Surface to Volume Ratio of Ramp

(Calculation completed in 00.020 seconds)

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< Surface to Volume Ratio of Ramp Calculators

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

LaTeX Go 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)

Surface to Volume Ratio of Ramp

LaTeX Go 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)

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

LaTeX Go

What is Ramp?

An inclined plane, also known as a ramp, is a flat supporting surface tilted at an angle, with one end higher than the other, used as an aid for raising or lowering a load. The inclined plane is one of the six classical simple machines defined by Renaissance scientists.

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

Surface to Volume Ratio of Ramp given Hypotenuse, Adjacent Side and Width calculator 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 calculate 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 calculate Surface to Volume Ratio of Ramp given Hypotenuse, Adjacent Side and Width using this online calculator? To use this online calculator 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. Here is how the Surface to Volume Ratio of Ramp given Hypotenuse, Adjacent Side and Width calculation can be explained with given input values -> 1.2 = ((12*sqrt(13^2-12^2))+(10*(12+sqrt(13^2-12^2)+13)))/(12*sqrt(13^2-12^2)*10/2).

FAQ

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

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 and is represented as R_A/V = ((S_Adjacent*sqrt(H^2-S_Adjacent^2))+(w*(S_Adjacent+sqrt(H^2-S_Adjacent^2)+H)))/(S_Adjacent*sqrt(H^2-S_Adjacent^2)*w/2) or 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). 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, Hypotenuse of Ramp is the hypotenuse of the right triangle formed when a rectangular surface is raised at an angle to form the 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.

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

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 is calculated using 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 calculate Surface to Volume Ratio of Ramp given Hypotenuse, Adjacent Side and Width, you need Adjacent Side of Ramp (S_Adjacent), Hypotenuse of Ramp (H) & Width of Ramp (w). With our tool, you need to enter the respective value for Adjacent Side of Ramp, Hypotenuse of Ramp & Width of Ramp and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Surface to Volume Ratio of Ramp?

In this formula, Surface to Volume Ratio of Ramp uses Adjacent Side of Ramp, Hypotenuse of Ramp & Width of Ramp. We can use 1 other way(s) to calculate the same, which is/are as follows -

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)

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