Total Surface Area of Ramp given Adjacent Side, Hypotenuse 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%

✖Total Surface Area of Ramp is the total amount of two dimensional space that covers the entire surface of the Ramp.ⓘ Total Surface Area of Ramp given Adjacent Side, Hypotenuse and Width [TSA]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download 3D Geometry Formula PDF PDF Image

Total Surface Area of Ramp given Adjacent Side, Hypotenuse and Width Solution

STEP 0: Pre-Calculation Summary

Formula Used

Total Surface Area 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))
TSA = (S_Adjacent*sqrt(H^2-S_Adjacent^2))+(w*(S_Adjacent+sqrt(H^2-S_Adjacent^2)+H))
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

Total Surface Area of Ramp - (Measured in Square Meter) - Total Surface Area of Ramp is the total amount of two dimensional space that covers the entire surface of the 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

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

Evaluating ... ...

TSA = 360

STEP 3: Convert Result to Output's Unit

360 Square Meter --> No Conversion Required

FINAL ANSWER

360 Square Meter <-- Total Surface Area of Ramp

(Calculation completed in 00.004 seconds)

You are here -

Home » Math » Geometry » 3D Geometry » Ramp » Surface Area of Ramp » Total Surface Area of Ramp given Adjacent Side, Hypotenuse and Width

Credits

Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

Shweta Patil has created this Calculator and 2500+ more calculators!

Verified by Mridul Sharma

Indian Institute of Information Technology (IIIT), Bhopal

Mridul Sharma has verified this Calculator and 1700+ more calculators!

< Surface Area of Ramp Calculators

Total Surface Area of Ramp given Adjacent Side, Hypotenuse and Width

LaTeX Go Total Surface Area 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))

Total Surface Area of Ramp given Opposite Side, Hypotenuse and Width

LaTeX Go Total Surface Area of Ramp = (sqrt(Hypotenuse of Ramp^2-Opposite Side of Ramp^2)*Opposite Side of Ramp)+(Width of Ramp*(sqrt(Hypotenuse of Ramp^2-Opposite Side of Ramp^2)+Opposite Side of Ramp+Hypotenuse of Ramp))

Total Surface Area of Ramp given Adjacent Side, Opposite Side and Width

LaTeX Go Total Surface Area 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)))

Total Surface Area of Ramp

LaTeX Go Total Surface Area 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)))

Total Surface Area of Ramp given Adjacent Side, Hypotenuse 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 Total Surface Area of Ramp given Adjacent Side, Hypotenuse and Width?

Total Surface Area of Ramp given Adjacent Side, Hypotenuse and Width calculator uses Total Surface Area 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)) to calculate the Total Surface Area of Ramp, Total Surface Area of Ramp given Adjacent Side, Hypotenuse and Width formula is defined as the total amount of two dimensional space that covers the entire surface of the Ramp and calculated using adjacent side, hypotenuse and width of Ramp. Total Surface Area of Ramp is denoted by TSA symbol.

How to calculate Total Surface Area of Ramp given Adjacent Side, Hypotenuse and Width using this online calculator? To use this online calculator for Total Surface Area of Ramp given Adjacent Side, Hypotenuse 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 Total Surface Area of Ramp given Adjacent Side, Hypotenuse and Width calculation can be explained with given input values -> 360 = (12*sqrt(13^2-12^2))+(10*(12+sqrt(13^2-12^2)+13)).

FAQ

What is Total Surface Area of Ramp given Adjacent Side, Hypotenuse and Width?

Total Surface Area of Ramp given Adjacent Side, Hypotenuse and Width formula is defined as the total amount of two dimensional space that covers the entire surface of the Ramp and calculated using adjacent side, hypotenuse and width of Ramp and is represented as TSA = (S_Adjacent*sqrt(H^2-S_Adjacent^2))+(w*(S_Adjacent+sqrt(H^2-S_Adjacent^2)+H)) or Total Surface Area 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 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 Total Surface Area of Ramp given Adjacent Side, Hypotenuse and Width?

Total Surface Area of Ramp given Adjacent Side, Hypotenuse and Width formula is defined as the total amount of two dimensional space that covers the entire surface of the Ramp and calculated using adjacent side, hypotenuse and width of Ramp is calculated using Total Surface Area 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)). To calculate Total Surface Area of Ramp given Adjacent Side, Hypotenuse 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 Total Surface Area of Ramp?

In this formula, Total Surface Area of Ramp uses Adjacent Side of Ramp, Hypotenuse of Ramp & Width of Ramp. We can use 3 other way(s) to calculate the same, which is/are as follows -

Total Surface Area 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)))
Total Surface Area 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)))
Total Surface Area of Ramp = (sqrt(Hypotenuse of Ramp^2-Opposite Side of Ramp^2)*Opposite Side of Ramp)+(Width of Ramp*(sqrt(Hypotenuse of Ramp^2-Opposite Side of Ramp^2)+Opposite Side of Ramp+Hypotenuse of Ramp))

Home

FREE PDFs

🔍 Search