Depth of Prism given Volume per Unit Length of Prism Calculator

✖Volume per unit length of prism means ratio of volume of prism to length of prism.ⓘ Volume per unit length of prism [V_l]			+10% -10%
✖Inclined Length of prism is along the slope.ⓘ Inclined Length [b]			+10% -10%
✖Angle of Inclination is defined as the angle measured from the horizontal surface of the wall or any object.ⓘ Angle of Inclination [I]			+10% -10%

✖Depth of Prism is the length of prism along z direction.ⓘ Depth of Prism given Volume per Unit Length of Prism [z]

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Depth of Prism given Volume per Unit Length of Prism Solution

STEP 0: Pre-Calculation Summary

Formula Used

Depth of Prism = Volume per unit length of prism/(Inclined Length*cos((Angle of Inclination)))
z = V_l/(b*cos((I)))
This formula uses 1 Functions, 4 Variables

Functions Used

cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)

Variables Used

Depth of Prism - (Measured in Meter) - Depth of Prism is the length of prism along z direction.
Volume per unit length of prism - (Measured in Square Meter) - Volume per unit length of prism means ratio of volume of prism to length of prism.
Inclined Length - (Measured in Meter) - Inclined Length of prism is along the slope.
Angle of Inclination - (Measured in Radian) - Angle of Inclination is defined as the angle measured from the horizontal surface of the wall or any object.

STEP 1: Convert Input(s) to Base Unit

Volume per unit length of prism: 5 Square Meter --> 5 Square Meter No Conversion Required
Inclined Length: 10 Meter --> 10 Meter No Conversion Required
Angle of Inclination: 80 Degree --> 1.3962634015952 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

z = V_l/(b*cos((I))) --> 5/(10*cos((1.3962634015952)))

Evaluating ... ...

z = 2.87938524156751

STEP 3: Convert Result to Output's Unit

2.87938524156751 Meter --> No Conversion Required

FINAL ANSWER

2.87938524156751 ≈ 2.879385 Meter <-- Depth of Prism

(Calculation completed in 00.004 seconds)

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

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Meerut Institute of Engineering and Technology (MIET), Meerut

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< Stability Analysis of Infinite Slopes in Prism Calculators

Inclined Length along Slope given Weight of Soil Prism

LaTeX Go Inclined Length = Weight of Prism/(Unit Weight of Soil*Depth of Prism*cos((Angle of Inclination)))

Unit Weight of Soil given Weight of Soil Prism

LaTeX Go Unit Weight of Soil = Weight of Prism/(Depth of Prism*Inclined Length*cos((Angle of Inclination)))

Weight of Soil Prism in Stability Analysis

LaTeX Go Weight of Prism = (Unit Weight of Soil*Depth of Prism*Inclined Length*cos((Angle of Inclination)))

Depth of Prism given Weight of Soil Prism

LaTeX Go Depth of Prism = Weight of Prism/(Unit Weight of Soil*Inclined Length*cos((Angle of Inclination)))

Depth of Prism given Volume per Unit Length of Prism Formula

LaTeX Go

Depth of Prism = Volume per unit length of prism/(Inclined Length*cos((Angle of Inclination)))
z = V_l/(b*cos((I)))

What is Volume?

Volume measures the size of an object (not just the surface) using length measurements in three dimensions. A volume is being measured if three length units are multiplied, such as cubic inch or cubic centimeter, or if a special volume unit such as fluid ounce or liter is used.

How to Calculate Depth of Prism given Volume per Unit Length of Prism?

Depth of Prism given Volume per Unit Length of Prism calculator uses Depth of Prism = Volume per unit length of prism/(Inclined Length*cos((Angle of Inclination))) to calculate the Depth of Prism, The Depth of Prism given Volume per Unit Length of Prism is defined as the distance between the top and bottom faces, determined by the volume per unit length of the prism. Depth of Prism is denoted by z symbol.

How to calculate Depth of Prism given Volume per Unit Length of Prism using this online calculator? To use this online calculator for Depth of Prism given Volume per Unit Length of Prism, enter Volume per unit length of prism (V_l), Inclined Length (b) & Angle of Inclination (I) and hit the calculate button. Here is how the Depth of Prism given Volume per Unit Length of Prism calculation can be explained with given input values -> 2.879385 = 5/(10*cos((1.3962634015952))).

FAQ

What is Depth of Prism given Volume per Unit Length of Prism?

The Depth of Prism given Volume per Unit Length of Prism is defined as the distance between the top and bottom faces, determined by the volume per unit length of the prism and is represented as z = V_l/(b*cos((I))) or Depth of Prism = Volume per unit length of prism/(Inclined Length*cos((Angle of Inclination))). Volume per unit length of prism means ratio of volume of prism to length of prism, Inclined Length of prism is along the slope & Angle of Inclination is defined as the angle measured from the horizontal surface of the wall or any object.

How to calculate Depth of Prism given Volume per Unit Length of Prism?

The Depth of Prism given Volume per Unit Length of Prism is defined as the distance between the top and bottom faces, determined by the volume per unit length of the prism is calculated using Depth of Prism = Volume per unit length of prism/(Inclined Length*cos((Angle of Inclination))). To calculate Depth of Prism given Volume per Unit Length of Prism, you need Volume per unit length of prism (V_l), Inclined Length (b) & Angle of Inclination (I). With our tool, you need to enter the respective value for Volume per unit length of prism, Inclined Length & Angle of Inclination 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 Depth of Prism?

In this formula, Depth of Prism uses Volume per unit length of prism, Inclined Length & Angle of Inclination. We can use 3 other way(s) to calculate the same, which is/are as follows -

Depth of Prism = Weight of Prism/(Unit Weight of Soil*Inclined Length*cos((Angle of Inclination)))
Depth of Prism = Vertical Stress at a Point in Pascal/(Unit Weight of Soil*cos((Angle of Inclination)))
Depth of Prism = Unit Cohesion/((Factor of Safety-(tan((Angle of Internal Friction of Soil))/tan((Angle of Inclination))))*Unit Weight of Soil*cos((Angle of Inclination))*sin((Angle of Inclination)))

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