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Volume Per Unit Length of Prism Formula

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Volume per unit length of prism means ratio of volume of prism to length of prism. Check FAQs

V l = (z \cdot b \cdot \cos ((I)))

V_l - Volume per unit length of prism?z - Depth of Prism?b - Inclined Length?I - Angle of Inclination?

Volume Per Unit Length of Prism Example

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Here is how the Volume Per Unit Length of Prism equation looks like with Values.

Here is how the Volume Per Unit Length of Prism equation looks like with Units.

Here is how the Volume Per Unit Length of Prism equation looks like.

5.2094 = (3 \cdot 10 \cdot \cos ((80)))

5.2094m² = (3m \cdot 10m \cdot \cos ((80°)))

5.2094 = (3 \cdot 10 \cdot \cos ((80)))

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Volume Per Unit Length of Prism Solution

Follow our step by step solution on how to calculate Volume Per Unit Length of Prism?

FIRST Step Consider the formula

V l = (z \cdot b \cdot \cos ((I)))

Next Step Substitute values of Variables

∴

V l = (3m \cdot 10m \cdot \cos ((80°)))

Next Step Convert Units

∴

V l = (3m \cdot 10m \cdot \cos ((1.3963rad)))

Next Step Prepare to Evaluate

∴

V l = (3 \cdot 10 \cdot \cos ((1.3963)))

Next Step Evaluate

∴

V l = 5.2094453300157m²

LAST Step Rounding Answer

∴

V l = 5.2094m²

Volume Per Unit Length of Prism Formula Elements

Variables

Functions

Volume per unit length of prism

Volume per unit length of prism means ratio of volume of prism to length of prism.

Symbol: V_l

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Volume per unit length of prism

Depth of Prism

Depth of Prism is the length of prism along z direction.

Symbol: z

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Depth of Prism

Inclined Length

Inclined Length of prism is along the slope.

Symbol: b

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Inclined Length

Angle of Inclination

Angle of Inclination is defined as the angle measured from the horizontal surface of the wall or any object.

Symbol: I

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Angle of Inclination

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(Angle)

Other formulas in Stability Analysis of Infinite Slopes in Prism category

Go Weight of Soil Prism in Stability Analysis

W = (γ \cdot z \cdot b \cdot \cos ((I)))

Go Unit Weight of Soil given Weight of Soil Prism

γ = \frac{W}{z \cdot b \cdot \cos ((I))}

Go Inclined Length along Slope given Weight of Soil Prism

b = \frac{W}{γ \cdot z \cdot \cos ((I))}

Go Depth of Prism given Weight of Soil Prism

z = \frac{W}{γ \cdot b \cdot \cos ((I))}

How to Evaluate Volume Per Unit Length of Prism?

Volume Per Unit Length of Prism evaluator uses Volume per unit length of prism = (Depth of Prism*Inclined Length*cos((Angle of Inclination))) to evaluate the Volume per unit length of prism, The Volume Per Unit Length of Prism is defined as the value of volume per unit length of soil prism when we have prior information of other parameters used. Volume per unit length of prism is denoted by V_l symbol.

How to evaluate Volume Per Unit Length of Prism using this online evaluator? To use this online evaluator for Volume Per Unit Length of Prism, enter Depth of Prism (z), Inclined Length (b) & Angle of Inclination (I) and hit the calculate button.

FAQs on Volume Per Unit Length of Prism

What is the formula to find Volume Per Unit Length of Prism?

The formula of Volume Per Unit Length of Prism is expressed as Volume per unit length of prism = (Depth of Prism*Inclined Length*cos((Angle of Inclination))). Here is an example- 5.209445 = (3*10*cos((1.3962634015952))).

How to calculate Volume Per Unit Length of Prism?

With Depth of Prism (z), Inclined Length (b) & Angle of Inclination (I) we can find Volume Per Unit Length of Prism using the formula - Volume per unit length of prism = (Depth of Prism*Inclined Length*cos((Angle of Inclination))). This formula also uses Cosine (cos) function(s).

Can the Volume Per Unit Length of Prism be negative?

No, the Volume Per Unit Length of Prism, measured in Area cannot be negative.

Which unit is used to measure Volume Per Unit Length of Prism?

Volume Per Unit Length of Prism is usually measured using the Square Meter[m²] for Area. Square Kilometer[m²], Square Centimeter[m²], Square Millimeter[m²] are the few other units in which Volume Per Unit Length of Prism can be measured.

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Volume Per Unit Length of Prism Formula

Volume Per Unit Length of Prism Example

Volume Per Unit Length of Prism Solution

Volume Per Unit Length of Prism Formula Elements

Other formulas in Stability Analysis of Infinite Slopes in Prism category

How to Evaluate Volume Per Unit Length of Prism?

FAQs on Volume Per Unit Length of Prism

Variable Name