Side B of Parallelepiped given Lateral Surface Area Calculator

✖Lateral Surface Area of Parallelepiped is the quantity of plane enclosed by all the lateral surfaces (that is, top and bottom faces are excluded) of the Parallelepiped.ⓘ Lateral Surface Area of Parallelepiped [LSA]			+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%
✖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 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]			+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 given Lateral Surface Area [S_b]

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Side B of Parallelepiped given Lateral Surface Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

Side B of Parallelepiped = Lateral Surface Area of Parallelepiped/(2*(Side A of Parallelepiped*sin(Angle Gamma of Parallelepiped)+Side C of Parallelepiped*sin(Angle Alpha of Parallelepiped)))
S_b = LSA/(2*(S_a*sin(∠γ)+S_c*sin(∠α)))
This formula uses 1 Functions, 6 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

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.
Lateral Surface Area of Parallelepiped - (Measured in Square Meter) - Lateral Surface Area of Parallelepiped is the quantity of plane enclosed by all the lateral surfaces (that is, top and bottom faces are excluded) 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.
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 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.

STEP 1: Convert Input(s) to Base Unit

Lateral Surface Area of Parallelepiped: 1440 Square Meter --> 1440 Square Meter No Conversion Required
Side A of Parallelepiped: 30 Meter --> 30 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 Alpha of Parallelepiped: 45 Degree --> 0.785398163397301 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

S_b = LSA/(2*(S_a*sin(∠γ)+S_c*sin(∠α))) --> 1440/(2*(30*sin(1.3089969389955)+10*sin(0.785398163397301)))

Evaluating ... ...

S_b = 19.9729019868539

STEP 3: Convert Result to Output's Unit

19.9729019868539 Meter --> No Conversion Required

FINAL ANSWER

19.9729019868539 ≈ 19.9729 Meter <-- Side B of Parallelepiped

(Calculation completed in 00.004 seconds)

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Home » Math » Geometry » 3D Geometry » Parallelepiped » Side of Parallelepiped » Side B of Parallelepiped given Lateral Surface Area

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Created by Divanshi Jain

Netaji Subhash University of Technology, Delhi (NSUT Delhi), Dwarka

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Indian Institute of Technology, Indian School of Mines, DHANBAD (IIT ISM), Dhanbad, Jharkhand

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< Side of Parallelepiped Calculators

Side A of Parallelepiped

LaTeX Go Side A of Parallelepiped = Volume of Parallelepiped/(Side B of Parallelepiped*Side C of Parallelepiped*sqrt(1+(2*cos(Angle Alpha of Parallelepiped)*cos(Angle Beta of Parallelepiped)*cos(Angle Gamma of Parallelepiped))-(cos(Angle Alpha of Parallelepiped)^2+cos(Angle Beta of Parallelepiped)^2+cos(Angle Gamma of Parallelepiped)^2)))

Side B of Parallelepiped

LaTeX Go Side B of Parallelepiped = Volume of Parallelepiped/(Side A of Parallelepiped*Side C of Parallelepiped*sqrt(1+(2*cos(Angle Alpha of Parallelepiped)*cos(Angle Beta of Parallelepiped)*cos(Angle Gamma of Parallelepiped))-(cos(Angle Alpha of Parallelepiped)^2+cos(Angle Beta of Parallelepiped)^2+cos(Angle Gamma of Parallelepiped)^2)))

Side C of Parallelepiped

LaTeX Go Side C of Parallelepiped = Volume of Parallelepiped/(Side B of Parallelepiped*Side A of Parallelepiped*sqrt(1+(2*cos(Angle Alpha of Parallelepiped)*cos(Angle Beta of Parallelepiped)*cos(Angle Gamma of Parallelepiped))-(cos(Angle Alpha of Parallelepiped)^2+cos(Angle Beta of Parallelepiped)^2+cos(Angle Gamma of Parallelepiped)^2)))

Side A of Parallelepiped given Total Surface Area and Lateral Surface Area

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

< Side of Parallelepiped Calculators

Side A of Parallelepiped

Side B of Parallelepiped

Side C of Parallelepiped

Side A of Parallelepiped given Total Surface Area and Lateral Surface Area

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

Side B of Parallelepiped given Lateral Surface Area 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 Side B of Parallelepiped given Lateral Surface Area?

Side B of Parallelepiped given Lateral Surface Area calculator uses Side B of Parallelepiped = Lateral Surface Area of Parallelepiped/(2*(Side A of Parallelepiped*sin(Angle Gamma of Parallelepiped)+Side C of Parallelepiped*sin(Angle Alpha of Parallelepiped))) to calculate the Side B of Parallelepiped, The Side B of Parallelepiped given Lateral Surface Area formula is defined as the length of any one out of the three sides from any fixed vertex of the Parallelepiped, calculated using lateral surface area of Parallelepiped. Side B of Parallelepiped is denoted by S_b symbol.

How to calculate Side B of Parallelepiped given Lateral Surface Area using this online calculator? To use this online calculator for Side B of Parallelepiped given Lateral Surface Area, enter Lateral Surface Area of Parallelepiped (LSA), Side A of Parallelepiped (S_a), Angle Gamma of Parallelepiped (∠γ), Side C of Parallelepiped (S_c) & Angle Alpha of Parallelepiped (∠α) and hit the calculate button. Here is how the Side B of Parallelepiped given Lateral Surface Area calculation can be explained with given input values -> 19.9729 = 1440/(2*(30*sin(1.3089969389955)+10*sin(0.785398163397301))).

FAQ

What is Side B of Parallelepiped given Lateral Surface Area?

The Side B of Parallelepiped given Lateral Surface Area formula is defined as the length of any one out of the three sides from any fixed vertex of the Parallelepiped, calculated using lateral surface area of Parallelepiped and is represented as S_b = LSA/(2*(S_a*sin(∠γ)+S_c*sin(∠α))) or Side B of Parallelepiped = Lateral Surface Area of Parallelepiped/(2*(Side A of Parallelepiped*sin(Angle Gamma of Parallelepiped)+Side C of Parallelepiped*sin(Angle Alpha of Parallelepiped))). Lateral Surface Area of Parallelepiped is the quantity of plane enclosed by all the lateral surfaces (that is, top and bottom faces are excluded) 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, 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 Alpha of Parallelepiped is the angle formed by side B and side C at any of the two sharp tips of the Parallelepiped.

How to calculate Side B of Parallelepiped given Lateral Surface Area?

The Side B of Parallelepiped given Lateral Surface Area formula is defined as the length of any one out of the three sides from any fixed vertex of the Parallelepiped, calculated using lateral surface area of Parallelepiped is calculated using Side B of Parallelepiped = Lateral Surface Area of Parallelepiped/(2*(Side A of Parallelepiped*sin(Angle Gamma of Parallelepiped)+Side C of Parallelepiped*sin(Angle Alpha of Parallelepiped))). To calculate Side B of Parallelepiped given Lateral Surface Area, you need Lateral Surface Area of Parallelepiped (LSA), Side A of Parallelepiped (S_a), Angle Gamma of Parallelepiped (∠γ), Side C of Parallelepiped (S_c) & Angle Alpha of Parallelepiped (∠α). With our tool, you need to enter the respective value for Lateral Surface Area of Parallelepiped, Side A of Parallelepiped, Angle Gamma of Parallelepiped, Side C of Parallelepiped & Angle Alpha of Parallelepiped 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 Side B of Parallelepiped?

In this formula, Side B of Parallelepiped uses Lateral Surface Area of Parallelepiped, Side A of Parallelepiped, Angle Gamma of Parallelepiped, Side C of Parallelepiped & Angle Alpha of Parallelepiped. We can use 3 other way(s) to calculate the same, which is/are as follows -

Side B of Parallelepiped = Volume of Parallelepiped/(Side A of Parallelepiped*Side C of Parallelepiped*sqrt(1+(2*cos(Angle Alpha of Parallelepiped)*cos(Angle Beta of Parallelepiped)*cos(Angle Gamma of Parallelepiped))-(cos(Angle Alpha of Parallelepiped)^2+cos(Angle Beta of Parallelepiped)^2+cos(Angle Gamma of Parallelepiped)^2)))
Side B of Parallelepiped = Perimeter of Parallelepiped/4-Side A of Parallelepiped-Side C of Parallelepiped
Side B of Parallelepiped = Volume of Parallelepiped/(Side A of Parallelepiped*Side C of Parallelepiped*sqrt(1+(2*cos(Angle Alpha of Parallelepiped)*cos(Angle Beta of Parallelepiped)*cos(Angle Gamma of Parallelepiped))-(cos(Angle Alpha of Parallelepiped)^2+cos(Angle Beta of Parallelepiped)^2+cos(Angle Gamma of Parallelepiped)^2)))

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