Base Area of Oblique Prism given Lateral Edge Length 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%
✖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%

✖Base Area of Oblique Prism is the total quantity of plane enclosed on the base of the Oblique Prism.ⓘ Base Area of Oblique Prism given Lateral Edge Length [A_Base]

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Formula

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Base Area of Oblique Prism given Lateral Edge Length

Formula

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

Example

`"20m²"="100m³"/("10m"*sin("30°"))`

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Base Area of Oblique Prism given Lateral Edge Length Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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.
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.
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

Volume of Oblique Prism: 100 Cubic Meter --> 100 Cubic 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

A_Base = V/(l_e(Lateral)*sin(∠_Slope)) --> 100/(10*sin(0.5235987755982))

Evaluating ... ...

A_Base = 20

STEP 3: Convert Result to Output's Unit

20 Square Meter --> No Conversion Required

FINAL ANSWER

20 Square Meter <-- Base Area of Oblique Prism

(Calculation completed in 00.004 seconds)

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< 2 Base Area of Oblique Prism Calculators

Base Area of Oblique Prism given Lateral Edge Length

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

Base Area of Oblique Prism given Volume

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

Base Area of Oblique Prism given Lateral Edge Length Formula

Base Area of Oblique Prism = Volume of Oblique Prism/(Lateral Edge Length of Oblique Prism*sin(Angle of Slope of Oblique Prism))
A_Base = V/(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 Base Area of Oblique Prism given Lateral Edge Length?

Base Area of Oblique Prism given Lateral Edge Length calculator uses Base Area of Oblique Prism = Volume of Oblique Prism/(Lateral Edge Length of Oblique Prism*sin(Angle of Slope of Oblique Prism)) to calculate the Base Area of Oblique Prism, The Base Area of Oblique Prism given Lateral Edge Length formula is defined as the total quantity of plane enclosed on the base of the Oblique Prism and is calculated using volume and lateral edge length of Oblique Prism. Base Area of Oblique Prism is denoted by A_Base symbol.

How to calculate Base Area of Oblique Prism given Lateral Edge Length using this online calculator? To use this online calculator for Base Area of Oblique Prism given Lateral Edge Length, enter Volume of Oblique Prism (V), 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 Base Area of Oblique Prism given Lateral Edge Length calculation can be explained with given input values -> 20 = 100/(10*sin(0.5235987755982)).

FAQ

What is Base Area of Oblique Prism given Lateral Edge Length?

The Base Area of Oblique Prism given Lateral Edge Length formula is defined as the total quantity of plane enclosed on the base of the Oblique Prism and is calculated using volume and lateral edge length of Oblique Prism and is represented as A_Base = V/(l_e(Lateral)*sin(∠_Slope)) or Base Area of Oblique Prism = Volume of Oblique Prism/(Lateral Edge Length of Oblique Prism*sin(Angle of Slope of Oblique Prism)). Volume of Oblique Prism is the total quantity of three dimensional space enclosed by the entire surface 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 Base Area of Oblique Prism given Lateral Edge Length?

The Base Area of Oblique Prism given Lateral Edge Length formula is defined as the total quantity of plane enclosed on the base of the Oblique Prism and is calculated using volume and lateral edge length of Oblique Prism is calculated using Base Area of Oblique Prism = Volume of Oblique Prism/(Lateral Edge Length of Oblique Prism*sin(Angle of Slope of Oblique Prism)). To calculate Base Area of Oblique Prism given Lateral Edge Length, you need Volume of Oblique Prism (V), 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 Volume 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 Base Area of Oblique Prism?

In this formula, Base Area of Oblique Prism uses Volume 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 -

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

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