Angle of Slope of Oblique Prism given Volume Calculator

✖Volume of Oblique Prism is the total quantity of three dimensional space enclosed by the entire surface of the Oblique Prism.ⓘ Volume of Oblique Prism [V]			+10% -10%
✖Base Area of Oblique Prism is the total quantity of plane enclosed on the base of the Oblique Prism.ⓘ Base Area of Oblique Prism [A_Base]			+10% -10%
✖Lateral Edge Length of Oblique Prism is the measurement or extent of the edges of the lateral faces which are not perpendicular to the bases of the Oblique Prism.ⓘ Lateral Edge Length of Oblique Prism [l_e(Lateral)]			+10% -10%

✖Angle of Slope of Oblique Prism is the measurement of the angle at which the prism leans over the base of Oblique Prism.ⓘ Angle of Slope of Oblique Prism given Volume [∠_Slope]

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Formula

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Angle of Slope of Oblique Prism given Volume

Formula

`"∠"_{"Slope"} = asin(("V"/"A"_{"Base"})/"l"_{"e(Lateral)"})`

Example

`"30°"=asin(("100m³"/"20m²")/"10m")`

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Angle of Slope of Oblique Prism given Volume Solution

STEP 0: Pre-Calculation Summary

Formula Used

Angle of Slope of Oblique Prism = asin((Volume of Oblique Prism/Base Area of Oblique Prism)/Lateral Edge Length of Oblique Prism)
∠_Slope = asin((V/A_Base)/l_e(Lateral))
This formula uses 2 Functions, 4 Variables

Functions Used

sin - Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse., sin(Angle)
asin - The inverse sine function, is a trigonometric function that takes a ratio of two sides of a right triangle and outputs the angle opposite the side with the given ratio., asin(Number)

Variables Used

Angle of Slope of Oblique Prism - (Measured in Radian) - Angle of Slope of Oblique Prism is the measurement of the angle at which the prism leans over the base of Oblique Prism.
Volume of Oblique Prism - (Measured in Cubic Meter) - Volume of Oblique Prism is the total quantity of three dimensional space enclosed by the entire surface of the Oblique Prism.
Base Area of Oblique Prism - (Measured in Square Meter) - Base Area of Oblique Prism is the total quantity of plane enclosed on the base of the Oblique Prism.
Lateral Edge Length of Oblique Prism - (Measured in Meter) - Lateral Edge Length of Oblique Prism is the measurement or extent of the edges of the lateral faces which are not perpendicular to the bases of the Oblique Prism.

STEP 1: Convert Input(s) to Base Unit

Volume of Oblique Prism: 100 Cubic Meter --> 100 Cubic Meter No Conversion Required
Base Area of Oblique Prism: 20 Square Meter --> 20 Square Meter No Conversion Required
Lateral Edge Length of Oblique Prism: 10 Meter --> 10 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

∠_Slope = asin((V/A_Base)/l_e(Lateral)) --> asin((100/20)/10)

Evaluating ... ...

∠_Slope = 0.523598775598299

STEP 3: Convert Result to Output's Unit

0.523598775598299 Radian -->30.0000000000056 Degree (Check conversion here)

FINAL ANSWER

30.0000000000056 ≈ 30 Degree <-- Angle of Slope of Oblique Prism

(Calculation completed in 00.004 seconds)

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< 2 Angle of Slope of Oblique Prism Calculators

Angle of Slope of Oblique Prism given Volume

Go Angle of Slope of Oblique Prism = asin((Volume of Oblique Prism/Base Area of Oblique Prism)/Lateral Edge Length of Oblique Prism)

Angle of Slope of Oblique Prism

Go Angle of Slope of Oblique Prism = asin(Height of Oblique Prism/Lateral Edge Length of Oblique Prism)

Angle of Slope of Oblique Prism given Volume Formula

Angle of Slope of Oblique Prism = asin((Volume of Oblique Prism/Base Area of Oblique Prism)/Lateral Edge Length of Oblique Prism)
∠_Slope = asin((V/A_Base)/l_e(Lateral))

What is an Oblique Prism?

Oblique Prism is a slanted prism in which the lateral faces are not perpendicular to the bases. As a result, the 2 bases are not aligned perfectly above one another when the prism rests on its base. The lateral face of an Oblique Prism is not its height.

How to Calculate Angle of Slope of Oblique Prism given Volume?

Angle of Slope of Oblique Prism given Volume calculator uses Angle of Slope of Oblique Prism = asin((Volume of Oblique Prism/Base Area of Oblique Prism)/Lateral Edge Length of Oblique Prism) to calculate the Angle of Slope of Oblique Prism, The Angle of Slope of Oblique Prism given Volume formula is defined as the measurement of the angle at which the prism leans over the base of Oblique Prism, calculated using the volume of the Oblique Prism. Angle of Slope of Oblique Prism is denoted by ∠_Slope symbol.

How to calculate Angle of Slope of Oblique Prism given Volume using this online calculator? To use this online calculator for Angle of Slope of Oblique Prism given Volume, enter Volume of Oblique Prism (V), Base Area of Oblique Prism (A_Base) & Lateral Edge Length of Oblique Prism (l_e(Lateral)) and hit the calculate button. Here is how the Angle of Slope of Oblique Prism given Volume calculation can be explained with given input values -> 1718.873 = asin((100/20)/10).

FAQ

What is Angle of Slope of Oblique Prism given Volume?

The Angle of Slope of Oblique Prism given Volume formula is defined as the measurement of the angle at which the prism leans over the base of Oblique Prism, calculated using the volume of the Oblique Prism and is represented as ∠_Slope = asin((V/A_Base)/l_e(Lateral)) or Angle of Slope of Oblique Prism = asin((Volume of Oblique Prism/Base Area of Oblique Prism)/Lateral Edge Length of Oblique Prism). Volume of Oblique Prism is the total quantity of three dimensional space enclosed by the entire surface of the Oblique Prism, Base Area of Oblique Prism is the total quantity of plane enclosed on the base of the Oblique Prism & Lateral Edge Length of Oblique Prism is the measurement or extent of the edges of the lateral faces which are not perpendicular to the bases of the Oblique Prism.

How to calculate Angle of Slope of Oblique Prism given Volume?

The Angle of Slope of Oblique Prism given Volume formula is defined as the measurement of the angle at which the prism leans over the base of Oblique Prism, calculated using the volume of the Oblique Prism is calculated using Angle of Slope of Oblique Prism = asin((Volume of Oblique Prism/Base Area of Oblique Prism)/Lateral Edge Length of Oblique Prism). To calculate Angle of Slope of Oblique Prism given Volume, you need Volume of Oblique Prism (V), Base Area of Oblique Prism (A_Base) & Lateral Edge Length of Oblique Prism (l_e(Lateral)). With our tool, you need to enter the respective value for Volume of Oblique Prism, Base Area of Oblique Prism & Lateral Edge Length of Oblique Prism 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 Angle of Slope of Oblique Prism?

In this formula, Angle of Slope of Oblique Prism uses Volume of Oblique Prism, Base Area of Oblique Prism & Lateral Edge Length of Oblique Prism. We can use 1 other way(s) to calculate the same, which is/are as follows -

Angle of Slope of Oblique Prism = asin(Height of Oblique Prism/Lateral Edge Length of Oblique Prism)

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