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

STEP 0: Pre-Calculation Summary
Formula Used
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)))
TSA = ((2*V)/w)+(w*(SAdjacent+(2*V)/(SAdjacent*w)+sqrt( SAdjacent^2+((2*V)/(SAdjacent*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
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.
Volume of Ramp - (Measured in Cubic Meter) - Volume of Ramp is the amount of 3-dimensional space enclosed by all the faces of 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.
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.
STEP 1: Convert Input(s) to Base Unit
Volume of Ramp: 300 Cubic Meter --> 300 Cubic Meter No Conversion Required
Width of Ramp: 10 Meter --> 10 Meter No Conversion Required
Adjacent Side of Ramp: 12 Meter --> 12 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
TSA = ((2*V)/w)+(w*(SAdjacent+(2*V)/(SAdjacent*w)+sqrt( SAdjacent^2+((2*V)/(SAdjacent*w))^2))) --> ((2*300)/10)+(10*(12+(2*300)/(12*10)+sqrt( 12^2+((2*300)/(12*10))^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)

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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 given Volume, Adjacent Side and Width Formula

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)))
TSA = ((2*V)/w)+(w*(SAdjacent+(2*V)/(SAdjacent*w)+sqrt( SAdjacent^2+((2*V)/(SAdjacent*w))^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 given Volume, Adjacent Side and Width?

Total Surface Area of Ramp given Volume, Adjacent Side and Width calculator uses 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))) to calculate the Total Surface Area of Ramp, Total Surface Area of Ramp given Volume, Adjacent Side 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, volume and width of Ramp. Total Surface Area of Ramp is denoted by TSA symbol.

How to calculate Total Surface Area of Ramp given Volume, Adjacent Side and Width using this online calculator? To use this online calculator for Total Surface Area of Ramp given Volume, Adjacent Side and Width, enter Volume of Ramp (V), Width of Ramp (w) & Adjacent Side of Ramp (SAdjacent) and hit the calculate button. Here is how the Total Surface Area of Ramp given Volume, Adjacent Side and Width calculation can be explained with given input values -> 360 = ((2*300)/10)+(10*(12+(2*300)/(12*10)+sqrt( 12^2+((2*300)/(12*10))^2))).

FAQ

What is Total Surface Area of Ramp given Volume, Adjacent Side and Width?
Total Surface Area of Ramp given Volume, Adjacent Side 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, volume and width of Ramp and is represented as TSA = ((2*V)/w)+(w*(SAdjacent+(2*V)/(SAdjacent*w)+sqrt( SAdjacent^2+((2*V)/(SAdjacent*w))^2))) or 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))). Volume of Ramp is the amount of 3-dimensional space enclosed by all the faces of 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 & 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.
How to calculate Total Surface Area of Ramp given Volume, Adjacent Side and Width?
Total Surface Area of Ramp given Volume, Adjacent Side 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, volume and width of Ramp is calculated using 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))). To calculate Total Surface Area of Ramp given Volume, Adjacent Side and Width, you need Volume of Ramp (V), Width of Ramp (w) & Adjacent Side of Ramp (SAdjacent). With our tool, you need to enter the respective value for Volume of Ramp, Width of Ramp & Adjacent Side 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 Volume of Ramp, Width of Ramp & Adjacent Side 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*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))
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