Height of Oblique Prism given Lateral Edge Length Calculator

✖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%

✖Height of Oblique Prism is the vertical distance from the bottom face to the top of the Oblique Prism.ⓘ Height of Oblique Prism given Lateral Edge Length [h]

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Formula

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Height of Oblique Prism given Lateral Edge Length

Formula

`"h" = "l"_{"e(Lateral)"}*sin("∠"_{"Slope"})`

Example

`"5m"="10m"*sin("30°")`

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Height of Oblique Prism given Lateral Edge Length Solution

STEP 0: Pre-Calculation Summary

Formula Used

Height of Oblique Prism = Lateral Edge Length of Oblique Prism*sin(Angle of Slope of Oblique Prism)
h = l_e(Lateral)*sin(∠_Slope)
This formula uses 1 Functions, 3 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

Height of Oblique Prism - (Measured in Meter) - Height of Oblique Prism is the vertical distance from the bottom face to the top 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

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

h = l_e(Lateral)*sin(∠_Slope) --> 10*sin(0.5235987755982)

Evaluating ... ...

h = 5

STEP 3: Convert Result to Output's Unit

5 Meter --> No Conversion Required

FINAL ANSWER

5 Meter <-- Height of Oblique Prism

(Calculation completed in 00.004 seconds)

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< 2 Height of Oblique Prism Calculators

Height of Oblique Prism given Lateral Edge Length

Go Height of Oblique Prism = Lateral Edge Length of Oblique Prism*sin(Angle of Slope of Oblique Prism)

Height of Oblique Prism given Volume

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

Height of Oblique Prism given Lateral Edge Length Formula

Height of Oblique Prism = Lateral Edge Length of Oblique Prism*sin(Angle of Slope of Oblique Prism)
h = 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 Height of Oblique Prism given Lateral Edge Length?

Height of Oblique Prism given Lateral Edge Length calculator uses Height of Oblique Prism = Lateral Edge Length of Oblique Prism*sin(Angle of Slope of Oblique Prism) to calculate the Height of Oblique Prism, Height of Oblique Prism given Lateral Edge Length formula is defined as the vertical distance from the bottom face to the top of the Oblique Prism and is calculated using the lateral edge length and angle of slope of the Oblique Prism. Height of Oblique Prism is denoted by h symbol.

How to calculate Height of Oblique Prism given Lateral Edge Length using this online calculator? To use this online calculator for Height of Oblique Prism given Lateral Edge Length, enter 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 Height of Oblique Prism given Lateral Edge Length calculation can be explained with given input values -> 5 = 10*sin(0.5235987755982).

FAQ

What is Height of Oblique Prism given Lateral Edge Length?

Height of Oblique Prism given Lateral Edge Length formula is defined as the vertical distance from the bottom face to the top of the Oblique Prism and is calculated using the lateral edge length and angle of slope of the Oblique Prism and is represented as h = l_e(Lateral)*sin(∠_Slope) or Height of Oblique Prism = Lateral Edge Length of Oblique Prism*sin(Angle of Slope of 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 Height of Oblique Prism given Lateral Edge Length?

Height of Oblique Prism given Lateral Edge Length formula is defined as the vertical distance from the bottom face to the top of the Oblique Prism and is calculated using the lateral edge length and angle of slope of the Oblique Prism is calculated using Height of Oblique Prism = Lateral Edge Length of Oblique Prism*sin(Angle of Slope of Oblique Prism). To calculate Height of Oblique Prism given Lateral Edge Length, you need 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 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 Height of Oblique Prism?

In this formula, Height of Oblique Prism uses 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 -

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

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