Angle Alpha of Parallelepiped Calculator

✖Total Surface Area of Parallelepiped is the total quantity of plane enclosed by the entire surface of the Parallelepiped.ⓘ Total Surface Area of Parallelepiped [TSA]			+10% -10%
✖Side A of Parallelepiped is the length of any one out of the three sides from any fixed vertex of the Parallelepiped.ⓘ Side A of Parallelepiped [S_a]			+10% -10%
✖Side B of Parallelepiped is the length of any one out of the three sides from any fixed vertex of the Parallelepiped.ⓘ Side B of Parallelepiped [S_b]			+10% -10%
✖Angle Gamma of Parallelepiped is the angle formed by side A and side B at any of the two sharp tips of the Parallelepiped.ⓘ Angle Gamma of Parallelepiped [∠γ]			+10% -10%
✖Side C of Parallelepiped is the length of any one out of the three sides from any fixed vertex of the Parallelepiped.ⓘ Side C of Parallelepiped [S_c]			+10% -10%
✖Angle Beta of Parallelepiped is the angle formed by side A and side C at any of the two sharp tips of the Parallelepiped.ⓘ Angle Beta of Parallelepiped [∠β]			+10% -10%

✖Angle Alpha of Parallelepiped is the angle formed by side B and side C at any of the two sharp tips of the Parallelepiped.ⓘ Angle Alpha of Parallelepiped [∠α]

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Angle Alpha of Parallelepiped Solution

STEP 0: Pre-Calculation Summary

Formula Used

Angle Alpha of Parallelepiped = asin((Total Surface Area of Parallelepiped-(2*Side A of Parallelepiped*Side B of Parallelepiped*sin(Angle Gamma of Parallelepiped))-(2*Side A of Parallelepiped*Side C of Parallelepiped*sin(Angle Beta of Parallelepiped)))/(2*Side C of Parallelepiped*Side B of Parallelepiped))
∠α = asin((TSA-(2*S_a*S_b*sin(∠γ))-(2*S_a*S_c*sin(∠β)))/(2*S_c*S_b))
This formula uses 2 Functions, 7 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 Alpha of Parallelepiped - (Measured in Radian) - Angle Alpha of Parallelepiped is the angle formed by side B and side C at any of the two sharp tips of the Parallelepiped.
Total Surface Area of Parallelepiped - (Measured in Square Meter) - Total Surface Area of Parallelepiped is the total quantity of plane enclosed by the entire surface of the Parallelepiped.
Side A of Parallelepiped - (Measured in Meter) - Side A of Parallelepiped is the length of any one out of the three sides from any fixed vertex of the Parallelepiped.
Side B of Parallelepiped - (Measured in Meter) - Side B of Parallelepiped is the length of any one out of the three sides from any fixed vertex of the Parallelepiped.
Angle Gamma of Parallelepiped - (Measured in Radian) - Angle Gamma of Parallelepiped is the angle formed by side A and side B at any of the two sharp tips of the Parallelepiped.
Side C of Parallelepiped - (Measured in Meter) - Side C of Parallelepiped is the length of any one out of the three sides from any fixed vertex of the Parallelepiped.
Angle Beta of Parallelepiped - (Measured in Radian) - Angle Beta of Parallelepiped is the angle formed by side A and side C at any of the two sharp tips of the Parallelepiped.

STEP 1: Convert Input(s) to Base Unit

Total Surface Area of Parallelepiped: 1960 Square Meter --> 1960 Square Meter No Conversion Required
Side A of Parallelepiped: 30 Meter --> 30 Meter No Conversion Required
Side B of Parallelepiped: 20 Meter --> 20 Meter No Conversion Required
Angle Gamma of Parallelepiped: 75 Degree --> 1.3089969389955 Radian (Check conversion here)
Side C of Parallelepiped: 10 Meter --> 10 Meter No Conversion Required
Angle Beta of Parallelepiped: 60 Degree --> 1.0471975511964 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

∠α = asin((TSA-(2*S_a*S_b*sin(∠γ))-(2*S_a*S_c*sin(∠β)))/(2*S_c*S_b)) --> asin((1960-(2*30*20*sin(1.3089969389955))-(2*30*10*sin(1.0471975511964)))/(2*10*20))

Evaluating ... ...

∠α = 0.779866372687863

STEP 3: Convert Result to Output's Unit

0.779866372687863 Radian -->44.6830517391995 Degree (Check conversion here)

FINAL ANSWER

44.6830517391995 ≈ 44.68305 Degree <-- Angle Alpha of Parallelepiped

(Calculation completed in 00.008 seconds)

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< Angle of Parallelepiped Calculators

Angle Alpha of Parallelepiped

LaTeX Go Angle Alpha of Parallelepiped = asin((Total Surface Area of Parallelepiped-(2*Side A of Parallelepiped*Side B of Parallelepiped*sin(Angle Gamma of Parallelepiped))-(2*Side A of Parallelepiped*Side C of Parallelepiped*sin(Angle Beta of Parallelepiped)))/(2*Side C of Parallelepiped*Side B of Parallelepiped))

Angle Gamma of Parallelepiped

LaTeX Go Angle Gamma of Parallelepiped = asin((Total Surface Area of Parallelepiped-(2*Side B of Parallelepiped*Side C of Parallelepiped*sin(Angle Alpha of Parallelepiped))-(2*Side A of Parallelepiped*Side C of Parallelepiped*sin(Angle Beta of Parallelepiped)))/(2*Side B of Parallelepiped*Side A of Parallelepiped))

Angle Beta of Parallelepiped

LaTeX Go Angle Beta of Parallelepiped = asin((Total Surface Area of Parallelepiped-(2*Side A of Parallelepiped*Side B of Parallelepiped*sin(Angle Gamma of Parallelepiped))-(2*Side B of Parallelepiped*Side C of Parallelepiped*sin(Angle Alpha of Parallelepiped)))/(2*Side A of Parallelepiped*Side C of Parallelepiped))

< Angle of Parallelepiped Calculators

Angle Alpha of Parallelepiped

Angle Gamma of Parallelepiped

Angle Beta of Parallelepiped

Angle Alpha of Parallelepiped Formula

LaTeX Go

What is a Parallelepiped?

A Parallelepiped is a three-dimensional figure formed by six parallelograms (the term rhomboid is also sometimes used with this meaning). By analogy, it relates to a parallelogram just as a cube relates to a square. In Euclidean geometry, the four concepts parallelepiped and cube in three dimensions, parallelogram and square in two dimensions—are defined, but in the context of a more general affine geometry, in which angles are not differentiated, only parallelograms and parallelepipeds exist.

How to Calculate Angle Alpha of Parallelepiped?

Angle Alpha of Parallelepiped calculator uses Angle Alpha of Parallelepiped = asin((Total Surface Area of Parallelepiped-(2*Side A of Parallelepiped*Side B of Parallelepiped*sin(Angle Gamma of Parallelepiped))-(2*Side A of Parallelepiped*Side C of Parallelepiped*sin(Angle Beta of Parallelepiped)))/(2*Side C of Parallelepiped*Side B of Parallelepiped)) to calculate the Angle Alpha of Parallelepiped, Angle Alpha of Parallelepiped formula is defined as the angle formed by the side B and side C at any of the two sharp tips of the Parallelepiped. Angle Alpha of Parallelepiped is denoted by ∠α symbol.

How to calculate Angle Alpha of Parallelepiped using this online calculator? To use this online calculator for Angle Alpha of Parallelepiped, enter Total Surface Area of Parallelepiped (TSA), Side A of Parallelepiped (S_a), Side B of Parallelepiped (S_b), Angle Gamma of Parallelepiped (∠γ), Side C of Parallelepiped (S_c) & Angle Beta of Parallelepiped (∠β) and hit the calculate button. Here is how the Angle Alpha of Parallelepiped calculation can be explained with given input values -> 2560.15 = asin((1960-(2*30*20*sin(1.3089969389955))-(2*30*10*sin(1.0471975511964)))/(2*10*20)).

FAQ

What is Angle Alpha of Parallelepiped?

Angle Alpha of Parallelepiped formula is defined as the angle formed by the side B and side C at any of the two sharp tips of the Parallelepiped and is represented as ∠α = asin((TSA-(2*S_a*S_b*sin(∠γ))-(2*S_a*S_c*sin(∠β)))/(2*S_c*S_b)) or Angle Alpha of Parallelepiped = asin((Total Surface Area of Parallelepiped-(2*Side A of Parallelepiped*Side B of Parallelepiped*sin(Angle Gamma of Parallelepiped))-(2*Side A of Parallelepiped*Side C of Parallelepiped*sin(Angle Beta of Parallelepiped)))/(2*Side C of Parallelepiped*Side B of Parallelepiped)). Total Surface Area of Parallelepiped is the total quantity of plane enclosed by the entire surface of the Parallelepiped, Side A of Parallelepiped is the length of any one out of the three sides from any fixed vertex of the Parallelepiped, Side B of Parallelepiped is the length of any one out of the three sides from any fixed vertex of the Parallelepiped, Angle Gamma of Parallelepiped is the angle formed by side A and side B at any of the two sharp tips of the Parallelepiped, Side C of Parallelepiped is the length of any one out of the three sides from any fixed vertex of the Parallelepiped & Angle Beta of Parallelepiped is the angle formed by side A and side C at any of the two sharp tips of the Parallelepiped.

How to calculate Angle Alpha of Parallelepiped?

Angle Alpha of Parallelepiped formula is defined as the angle formed by the side B and side C at any of the two sharp tips of the Parallelepiped is calculated using Angle Alpha of Parallelepiped = asin((Total Surface Area of Parallelepiped-(2*Side A of Parallelepiped*Side B of Parallelepiped*sin(Angle Gamma of Parallelepiped))-(2*Side A of Parallelepiped*Side C of Parallelepiped*sin(Angle Beta of Parallelepiped)))/(2*Side C of Parallelepiped*Side B of Parallelepiped)). To calculate Angle Alpha of Parallelepiped, you need Total Surface Area of Parallelepiped (TSA), Side A of Parallelepiped (S_a), Side B of Parallelepiped (S_b), Angle Gamma of Parallelepiped (∠γ), Side C of Parallelepiped (S_c) & Angle Beta of Parallelepiped (∠β). With our tool, you need to enter the respective value for Total Surface Area of Parallelepiped, Side A of Parallelepiped, Side B of Parallelepiped, Angle Gamma of Parallelepiped, Side C of Parallelepiped & Angle Beta of Parallelepiped and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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