Volume of Ramp given Opposite Side, Hypotenuse and Width Solution

STEP 0: Pre-Calculation Summary
Formula Used
Volume of Ramp = Opposite Side of Ramp*sqrt(Hypotenuse of Ramp^2-Opposite Side of Ramp^2)*Width of Ramp/2
V = SOpposite*sqrt(H^2-SOpposite^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
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.
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.
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
Opposite Side of Ramp: 5 Meter --> 5 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
V = SOpposite*sqrt(H^2-SOpposite^2)*w/2 --> 5*sqrt(13^2-5^2)*10/2
Evaluating ... ...
V = 300
STEP 3: Convert Result to Output's Unit
300 Cubic Meter --> No Conversion Required
FINAL ANSWER
300 Cubic Meter <-- Volume of Ramp
(Calculation completed in 00.020 seconds)

Credits

Created by Shweta Patil
Walchand College of Engineering (WCE), Sangli
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3 Volume of Ramp Calculators

Volume of Ramp given Opposite Side, Hypotenuse and Width
Go Volume of Ramp = Opposite Side of Ramp*sqrt(Hypotenuse of Ramp^2-Opposite Side of Ramp^2)*Width of Ramp/2
Volume of Ramp given Adjacent Side, Hypotenuse and Width
Go Volume of Ramp = Adjacent Side of Ramp*sqrt(Hypotenuse of Ramp^2-Adjacent Side of Ramp^2)*Width of Ramp/2
Volume of Ramp
Go Volume of Ramp = Adjacent Side of Ramp*Opposite Side of Ramp*Width of Ramp/2

Volume of Ramp given Opposite Side, Hypotenuse and Width Formula

Volume of Ramp = Opposite Side of Ramp*sqrt(Hypotenuse of Ramp^2-Opposite Side of Ramp^2)*Width of Ramp/2
V = SOpposite*sqrt(H^2-SOpposite^2)*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 Volume of Ramp given Opposite Side, Hypotenuse and Width?

Volume of Ramp given Opposite Side, Hypotenuse and Width calculator uses Volume of Ramp = Opposite Side of Ramp*sqrt(Hypotenuse of Ramp^2-Opposite Side of Ramp^2)*Width of Ramp/2 to calculate the Volume of Ramp, Volume of Ramp given Opposite Side, Hypotenuse and Width is defined as the amount of 3-dimensional space enclosed by the surface of Ramp and calculated using opposite side, hypotenuse and width of Ramp. Volume of Ramp is denoted by V symbol.

How to calculate Volume of Ramp given Opposite Side, Hypotenuse and Width using this online calculator? To use this online calculator for Volume of Ramp given Opposite Side, Hypotenuse and Width, enter Opposite Side of Ramp (SOpposite), Hypotenuse of Ramp (H) & Width of Ramp (w) and hit the calculate button. Here is how the Volume of Ramp given Opposite Side, Hypotenuse and Width calculation can be explained with given input values -> 300 = 5*sqrt(13^2-5^2)*10/2.

FAQ

What is Volume of Ramp given Opposite Side, Hypotenuse and Width?
Volume of Ramp given Opposite Side, Hypotenuse and Width is defined as the amount of 3-dimensional space enclosed by the surface of Ramp and calculated using opposite side, hypotenuse and width of Ramp and is represented as V = SOpposite*sqrt(H^2-SOpposite^2)*w/2 or Volume of Ramp = Opposite Side of Ramp*sqrt(Hypotenuse of Ramp^2-Opposite Side of Ramp^2)*Width of Ramp/2. 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, 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 Volume of Ramp given Opposite Side, Hypotenuse and Width?
Volume of Ramp given Opposite Side, Hypotenuse and Width is defined as the amount of 3-dimensional space enclosed by the surface of Ramp and calculated using opposite side, hypotenuse and width of Ramp is calculated using Volume of Ramp = Opposite Side of Ramp*sqrt(Hypotenuse of Ramp^2-Opposite Side of Ramp^2)*Width of Ramp/2. To calculate Volume of Ramp given Opposite Side, Hypotenuse and Width, you need Opposite Side of Ramp (SOpposite), Hypotenuse of Ramp (H) & Width of Ramp (w). With our tool, you need to enter the respective value for Opposite 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 Volume of Ramp?
In this formula, Volume of Ramp uses Opposite Side of Ramp, Hypotenuse of Ramp & Width of Ramp. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Volume of Ramp = Adjacent Side of Ramp*Opposite Side of Ramp*Width of Ramp/2
  • Volume of Ramp = Adjacent Side of Ramp*sqrt(Hypotenuse of Ramp^2-Adjacent Side of Ramp^2)*Width of Ramp/2
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