Total Surface Area 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%
✖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%

✖Total Surface Area of Parallelepiped is the total quantity of plane enclosed by the entire surface of the Parallelepiped.ⓘ Total Surface Area of Parallelepiped given Lateral Surface Area [TSA]

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Total Surface Area of Parallelepiped given Lateral Surface Area

Formula

`"TSA" = "LSA"+2*"S"_{"a"}*"S"_{"c"}*sin("∠β")`

Example

`"1959.615m²"="1440m²"+2*"30m"*"10m"*sin("60°")`

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Total Surface Area of Parallelepiped given Lateral Surface Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

Total Surface Area of Parallelepiped = Lateral Surface Area of Parallelepiped+2*Side A of Parallelepiped*Side C of Parallelepiped*sin(Angle Beta of Parallelepiped)
TSA = LSA+2*S_a*S_c*sin(∠β)
This formula uses 1 Functions, 5 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

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.
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.
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

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
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

TSA = LSA+2*S_a*S_c*sin(∠β) --> 1440+2*30*10*sin(1.0471975511964)

Evaluating ... ...

TSA = 1959.6152422706

STEP 3: Convert Result to Output's Unit

1959.6152422706 Square Meter --> No Conversion Required

FINAL ANSWER

1959.6152422706 ≈ 1959.615 Square Meter <-- Total Surface Area of Parallelepiped

(Calculation completed in 00.020 seconds)

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< 8 Total Surface Area of Parallelepiped Calculators

Total Surface Area of Parallelepiped given Volume, Side A and Side B

Go Total Surface Area of Parallelepiped = 2*((Side A of Parallelepiped*Side B of Parallelepiped*sin(Angle Gamma of Parallelepiped))+(Volume of Parallelepiped*sin(Angle Beta of Parallelepiped))/(Side B 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)))+(Volume of Parallelepiped*sin(Angle Alpha 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))))

Total Surface Area of Parallelepiped given Volume, Side B and Side C

Go Total Surface Area of Parallelepiped = 2*((Volume of Parallelepiped*sin(Angle Gamma 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)))+(Volume of Parallelepiped*sin(Angle Beta of Parallelepiped))/(Side B 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*Side C of Parallelepiped*sin(Angle Alpha of Parallelepiped)))

Total Surface Area of Parallelepiped given Volume, Side A and Side C

Go Total Surface Area of Parallelepiped = 2*((Volume of Parallelepiped*sin(Angle Gamma 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 A of Parallelepiped*Side C of Parallelepiped*sin(Angle Beta of Parallelepiped))+(Volume of Parallelepiped*sin(Angle Alpha 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))))

Total Surface Area of Parallelepiped given Perimeter, Side A and Side B

Go Total Surface Area of Parallelepiped = 2*((Side A of Parallelepiped*Side B of Parallelepiped*sin(Angle Gamma of Parallelepiped))+(Side A of Parallelepiped*(Perimeter of Parallelepiped/4-Side A of Parallelepiped-Side B of Parallelepiped)*sin(Angle Beta of Parallelepiped))+(Side B of Parallelepiped*(Perimeter of Parallelepiped/4-Side A of Parallelepiped-Side B of Parallelepiped)*sin(Angle Alpha of Parallelepiped)))

Total Surface Area of Parallelepiped given Perimeter, Side B and Side C

Go Total Surface Area of Parallelepiped = 2*(((Perimeter of Parallelepiped/4-Side B of Parallelepiped-Side C of Parallelepiped)*Side B of Parallelepiped*sin(Angle Gamma of Parallelepiped))+((Perimeter of Parallelepiped/4-Side B of Parallelepiped-Side C of Parallelepiped)*Side C of Parallelepiped*sin(Angle Beta of Parallelepiped))+(Side B of Parallelepiped*Side C of Parallelepiped*sin(Angle Alpha of Parallelepiped)))

Total Surface Area of Parallelepiped given Perimeter, Side A and Side C

Go Total Surface Area of Parallelepiped = 2*((Side A of Parallelepiped*(Perimeter of Parallelepiped/4-Side A of Parallelepiped-Side C of Parallelepiped)*sin(Angle Gamma of Parallelepiped))+(Side A of Parallelepiped*Side C of Parallelepiped*sin(Angle Beta of Parallelepiped))+((Perimeter of Parallelepiped/4-Side A of Parallelepiped-Side C of Parallelepiped)*Side C of Parallelepiped*sin(Angle Alpha of Parallelepiped)))

Total Surface Area of Parallelepiped

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

Total Surface Area of Parallelepiped given Lateral Surface Area

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

< 4 Surface Area of Parallelepiped Calculators

Total Surface Area of Parallelepiped

Lateral Surface Area of Parallelepiped

Go Lateral Surface Area of Parallelepiped = 2*((Side A of Parallelepiped*Side B of Parallelepiped*sin(Angle Gamma of Parallelepiped))+(Side B of Parallelepiped*Side C of Parallelepiped*sin(Angle Alpha of Parallelepiped)))

Lateral Surface Area of Parallelepiped given Total Surface Area

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

Total Surface Area of Parallelepiped given Lateral Surface Area

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

Total Surface Area of Parallelepiped given Lateral Surface Area Formula

Total Surface Area of Parallelepiped = Lateral Surface Area of Parallelepiped+2*Side A of Parallelepiped*Side C of Parallelepiped*sin(Angle Beta of Parallelepiped)
TSA = LSA+2*S_a*S_c*sin(∠β)

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 Total Surface Area of Parallelepiped given Lateral Surface Area?

Total Surface Area of Parallelepiped given Lateral Surface Area calculator uses Total Surface Area of Parallelepiped = Lateral Surface Area of Parallelepiped+2*Side A of Parallelepiped*Side C of Parallelepiped*sin(Angle Beta of Parallelepiped) to calculate the Total Surface Area of Parallelepiped, The Total Surface Area of Parallelepiped given Lateral Surface Area formula is defined as the measure of the total quantity of plane enclosed by the entire surface of the Parallelepiped, and calculated using the lateral surface area of Parallelepiped. Total Surface Area of Parallelepiped is denoted by TSA symbol.

How to calculate Total Surface Area of Parallelepiped given Lateral Surface Area using this online calculator? To use this online calculator for Total Surface Area of Parallelepiped given Lateral Surface Area, enter Lateral Surface Area of Parallelepiped (LSA), Side A of Parallelepiped (S_a), Side C of Parallelepiped (S_c) & Angle Beta of Parallelepiped (∠β) and hit the calculate button. Here is how the Total Surface Area of Parallelepiped given Lateral Surface Area calculation can be explained with given input values -> 1959.615 = 1440+2*30*10*sin(1.0471975511964).

FAQ

What is Total Surface Area of Parallelepiped given Lateral Surface Area?

The Total Surface Area of Parallelepiped given Lateral Surface Area formula is defined as the measure of the total quantity of plane enclosed by the entire surface of the Parallelepiped, and calculated using the lateral surface area of Parallelepiped and is represented as TSA = LSA+2*S_a*S_c*sin(∠β) or Total Surface Area of Parallelepiped = Lateral Surface Area of Parallelepiped+2*Side A of Parallelepiped*Side C of Parallelepiped*sin(Angle Beta 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, 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 Total Surface Area of Parallelepiped given Lateral Surface Area?

The Total Surface Area of Parallelepiped given Lateral Surface Area formula is defined as the measure of the total quantity of plane enclosed by the entire surface of the Parallelepiped, and calculated using the lateral surface area of Parallelepiped is calculated using Total Surface Area of Parallelepiped = Lateral Surface Area of Parallelepiped+2*Side A of Parallelepiped*Side C of Parallelepiped*sin(Angle Beta of Parallelepiped). To calculate Total Surface Area of Parallelepiped given Lateral Surface Area, you need Lateral Surface Area of Parallelepiped (LSA), Side A of Parallelepiped (S_a), Side C of Parallelepiped (S_c) & Angle Beta of Parallelepiped (∠β). With our tool, you need to enter the respective value for Lateral Surface Area of Parallelepiped, Side A 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.

How many ways are there to calculate Total Surface Area of Parallelepiped?

In this formula, Total Surface Area of Parallelepiped uses Lateral Surface Area of Parallelepiped, Side A of Parallelepiped, Side C of Parallelepiped & Angle Beta of Parallelepiped. We can use 8 other way(s) to calculate the same, which is/are as follows -

Total Surface Area of Parallelepiped = 2*((Side A of Parallelepiped*Side B of Parallelepiped*sin(Angle Gamma of Parallelepiped))+(Side A of Parallelepiped*Side C of Parallelepiped*sin(Angle Beta of Parallelepiped))+(Side B of Parallelepiped*Side C of Parallelepiped*sin(Angle Alpha of Parallelepiped)))
Total Surface Area of Parallelepiped = 2*((Side A of Parallelepiped*Side B of Parallelepiped*sin(Angle Gamma of Parallelepiped))+(Volume of Parallelepiped*sin(Angle Beta of Parallelepiped))/(Side B 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)))+(Volume of Parallelepiped*sin(Angle Alpha 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))))
Total Surface Area of Parallelepiped = 2*((Volume of Parallelepiped*sin(Angle Gamma 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)))+(Volume of Parallelepiped*sin(Angle Beta of Parallelepiped))/(Side B 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*Side C of Parallelepiped*sin(Angle Alpha of Parallelepiped)))
Total Surface Area of Parallelepiped = 2*((Side A of Parallelepiped*Side B of Parallelepiped*sin(Angle Gamma of Parallelepiped))+(Side A of Parallelepiped*(Perimeter of Parallelepiped/4-Side A of Parallelepiped-Side B of Parallelepiped)*sin(Angle Beta of Parallelepiped))+(Side B of Parallelepiped*(Perimeter of Parallelepiped/4-Side A of Parallelepiped-Side B of Parallelepiped)*sin(Angle Alpha of Parallelepiped)))
Total Surface Area of Parallelepiped = 2*(((Perimeter of Parallelepiped/4-Side B of Parallelepiped-Side C of Parallelepiped)*Side B of Parallelepiped*sin(Angle Gamma of Parallelepiped))+((Perimeter of Parallelepiped/4-Side B of Parallelepiped-Side C of Parallelepiped)*Side C of Parallelepiped*sin(Angle Beta of Parallelepiped))+(Side B of Parallelepiped*Side C of Parallelepiped*sin(Angle Alpha of Parallelepiped)))
Total Surface Area of Parallelepiped = 2*((Side A of Parallelepiped*(Perimeter of Parallelepiped/4-Side A of Parallelepiped-Side C of Parallelepiped)*sin(Angle Gamma of Parallelepiped))+(Side A of Parallelepiped*Side C of Parallelepiped*sin(Angle Beta of Parallelepiped))+((Perimeter of Parallelepiped/4-Side A of Parallelepiped-Side C of Parallelepiped)*Side C of Parallelepiped*sin(Angle Alpha of Parallelepiped)))
Total Surface Area of Parallelepiped = 2*((Volume of Parallelepiped*sin(Angle Gamma 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 A of Parallelepiped*Side C of Parallelepiped*sin(Angle Beta of Parallelepiped))+(Volume of Parallelepiped*sin(Angle Alpha 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))))
Total Surface Area of Parallelepiped = 2*((Side A of Parallelepiped*Side B of Parallelepiped*sin(Angle Gamma of Parallelepiped))+(Side A of Parallelepiped*Side C of Parallelepiped*sin(Angle Beta of Parallelepiped))+(Side B of Parallelepiped*Side C of Parallelepiped*sin(Angle Alpha of Parallelepiped)))

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