Volume of Oblique Prism given Lateral Edge Length Calculator

✖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 [∠_Slope]			+10% -10%

✖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 given Lateral Edge Length [V]

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Formula

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Volume of Oblique Prism given Lateral Edge Length

Formula

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

Example

`"100m³"="20m²"*"10m"*sin("30°")`

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Volume of Oblique Prism given Lateral Edge Length Solution

STEP 0: Pre-Calculation Summary

Formula Used

Volume of Oblique Prism = Base Area of Oblique Prism*Lateral Edge Length of Oblique Prism*sin(Angle of Slope of Oblique Prism)
V = A_Base*l_e(Lateral)*sin(∠_Slope)
This formula uses 1 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)

Variables Used

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.
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.

STEP 1: Convert Input(s) to Base Unit

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
Angle of Slope of Oblique Prism: 30 Degree --> 0.5235987755982 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V = A_Base*l_e(Lateral)*sin(∠_Slope) --> 20*10*sin(0.5235987755982)

Evaluating ... ...

V = 100

STEP 3: Convert Result to Output's Unit

100 Cubic Meter --> No Conversion Required

FINAL ANSWER

100 Cubic Meter <-- Volume of Oblique Prism

(Calculation completed in 00.004 seconds)

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< 2 Volume of Oblique Prism Calculators

Volume of Oblique Prism given Lateral Edge Length

Go Volume of Oblique Prism = Base Area of Oblique Prism*Lateral Edge Length of Oblique Prism*sin(Angle of Slope of Oblique Prism)

Volume of Oblique Prism

Go Volume of Oblique Prism = Base Area of Oblique Prism*Height of Oblique Prism

Volume of Oblique Prism given Lateral Edge Length Formula

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

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 Volume of Oblique Prism given Lateral Edge Length?

Volume of Oblique Prism given Lateral Edge Length calculator uses Volume of Oblique Prism = Base Area of Oblique Prism*Lateral Edge Length of Oblique Prism*sin(Angle of Slope of Oblique Prism) to calculate the Volume of Oblique Prism, Volume of Oblique Prism given Lateral Edge Length formula is defined as the total quantity of three-dimensional space enclosed by the entire surface of the Oblique Prism, and is calculated using the lateral edge length, base area, and angle of slope of the Oblique Prism. Volume of Oblique Prism is denoted by V symbol.

How to calculate Volume of Oblique Prism given Lateral Edge Length using this online calculator? To use this online calculator for Volume of Oblique Prism given Lateral Edge Length, enter Base Area of Oblique Prism (A_Base), Lateral Edge Length of Oblique Prism (l_e(Lateral)) & Angle of Slope of Oblique Prism (∠_Slope) and hit the calculate button. Here is how the Volume of Oblique Prism given Lateral Edge Length calculation can be explained with given input values -> 100 = 20*10*sin(0.5235987755982).

FAQ

What is Volume of Oblique Prism given Lateral Edge Length?

Volume of Oblique Prism given Lateral Edge Length formula is defined as the total quantity of three-dimensional space enclosed by the entire surface of the Oblique Prism, and is calculated using the lateral edge length, base area, and angle of slope of the Oblique Prism and is represented as V = A_Base*l_e(Lateral)*sin(∠_Slope) or Volume of Oblique Prism = Base Area of Oblique Prism*Lateral Edge Length of Oblique Prism*sin(Angle of Slope of 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 & Angle of Slope of Oblique Prism is the measurement of the angle at which the prism leans over the base of Oblique Prism.

How to calculate Volume of Oblique Prism given Lateral Edge Length?

Volume of Oblique Prism given Lateral Edge Length formula is defined as the total quantity of three-dimensional space enclosed by the entire surface of the Oblique Prism, and is calculated using the lateral edge length, base area, and angle of slope of the Oblique Prism is calculated using Volume of Oblique Prism = Base Area of Oblique Prism*Lateral Edge Length of Oblique Prism*sin(Angle of Slope of Oblique Prism). To calculate Volume of Oblique Prism given Lateral Edge Length, you need Base Area of Oblique Prism (A_Base), Lateral Edge Length of Oblique Prism (l_e(Lateral)) & Angle of Slope of Oblique Prism (∠_Slope). With our tool, you need to enter the respective value for Base Area of Oblique Prism, Lateral Edge Length of Oblique Prism & Angle of Slope 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 Volume of Oblique Prism?

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

Volume of Oblique Prism = Base Area of Oblique Prism*Height of Oblique Prism

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