Total Surface Area of Ramp Solution

STEP 0: Pre-Calculation Summary
Formula Used
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)))
TSA = (SAdjacent*SOpposite)+(w*(SAdjacent+SOpposite+sqrt(SAdjacent^2+SOpposite^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
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.
Opposite Side of Ramp - (Measured in Meter) - Opposite Side of Ramp is the perpendicular of the right triangle which is 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
Opposite Side of Ramp: 5 Meter --> 5 Meter No Conversion Required
Width of Ramp: 10 Meter --> 10 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
TSA = (SAdjacent*SOpposite)+(w*(SAdjacent+SOpposite+sqrt(SAdjacent^2+SOpposite^2))) --> (12*5)+(10*(12+5+sqrt(12^2+5^2)))
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)

Credits

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Walchand College of Engineering (WCE), Sangli
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5 Surface Area of Ramp Calculators

Total Surface Area of Ramp given Volume, Adjacent Side and Width
Go Total Surface Area of Ramp = ((2*Volume of Ramp)/Width of Ramp)+(Width of Ramp*(Adjacent Side of Ramp+(2*Volume of Ramp)/(Adjacent Side of Ramp*Width of Ramp)+sqrt( Adjacent Side of Ramp^2+((2*Volume of Ramp)/(Adjacent Side of Ramp*Width of Ramp))^2)))
Total Surface Area of Ramp given Adjacent Side, Hypotenuse and Width
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
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
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
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 Formula

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)))
TSA = (SAdjacent*SOpposite)+(w*(SAdjacent+SOpposite+sqrt(SAdjacent^2+SOpposite^2)))

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?

Total Surface Area of Ramp calculator uses 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))) to calculate the Total Surface Area of Ramp, Total Surface Area of Ramp formula is defined as the total amount of two-dimensional space that covers the entire surface of the Ramp. Total Surface Area of Ramp is denoted by TSA symbol.

How to calculate Total Surface Area of Ramp using this online calculator? To use this online calculator for Total Surface Area of Ramp, enter Adjacent Side of Ramp (SAdjacent), Opposite Side of Ramp (SOpposite) & Width of Ramp (w) and hit the calculate button. Here is how the Total Surface Area of Ramp calculation can be explained with given input values -> 360 = (12*5)+(10*(12+5+sqrt(12^2+5^2))).

FAQ

What is Total Surface Area of Ramp?
Total Surface Area of Ramp formula is defined as the total amount of two-dimensional space that covers the entire surface of the Ramp and is represented as TSA = (SAdjacent*SOpposite)+(w*(SAdjacent+SOpposite+sqrt(SAdjacent^2+SOpposite^2))) or 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))). 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, Opposite Side of Ramp is the perpendicular of the right triangle which is 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?
Total Surface Area of Ramp formula is defined as the total amount of two-dimensional space that covers the entire surface of the Ramp is calculated using 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))). To calculate Total Surface Area of Ramp, you need Adjacent Side of Ramp (SAdjacent), Opposite Side of Ramp (SOpposite) & Width of Ramp (w). With our tool, you need to enter the respective value for Adjacent Side of Ramp, Opposite Side 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, Opposite Side of Ramp & Width of Ramp. We can use 4 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*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 = (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 = ((2*Volume of Ramp)/Width of Ramp)+(Width of Ramp*(Adjacent Side of Ramp+(2*Volume of Ramp)/(Adjacent Side of Ramp*Width of Ramp)+sqrt( Adjacent Side of Ramp^2+((2*Volume of Ramp)/(Adjacent Side of Ramp*Width of Ramp))^2)))
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