Total Surface Area of Triangular Prism Calculator

✖The Height of Triangular Prism is the length of the straight line connecting any base vertex to the corresponding top vertex of the Triangular Prism.ⓘ Height of Triangular Prism [h]			+10% -10%
✖The Side A of Base of Triangular Prism is the length of the side A of base, of the three base edges of the Triangular Prism.ⓘ Side A of Base of Triangular Prism [S_a]			+10% -10%
✖The Side B of Base of Triangular Prism is the length of the side B of base, of the three base edges of the Triangular Prism.ⓘ Side B of Base of Triangular Prism [S_b]			+10% -10%
✖The Side C of Base of Triangular Prism is the length of the side C of base, of the three base edges of the Triangular Prism.ⓘ Side C of Base of Triangular Prism [S_c]			+10% -10%

✖The Total Surface Area of Triangular Prism is the total amount of two-dimensional space occupied by all the faces of the Triangular Prism.ⓘ Total Surface Area of Triangular Prism [TSA]

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Total Surface Area of Triangular Prism Solution

STEP 0: Pre-Calculation Summary

Formula Used

Total Surface Area of Triangular Prism = (Height of Triangular Prism*(Side A of Base of Triangular Prism+Side B of Base of Triangular Prism+Side C of Base of Triangular Prism))+(1/2*sqrt((Side A of Base of Triangular Prism+Side B of Base of Triangular Prism+Side C of Base of Triangular Prism)*(Side A of Base of Triangular Prism+Side B of Base of Triangular Prism-Side C of Base of Triangular Prism)*(Side B of Base of Triangular Prism+Side C of Base of Triangular Prism-Side A of Base of Triangular Prism)*(Side C of Base of Triangular Prism+Side A of Base of Triangular Prism-Side B of Base of Triangular Prism)))
TSA = (h*(S_a+S_b+S_c))+(1/2*sqrt((S_a+S_b+S_c)*(S_a+S_b-S_c)*(S_b+S_c-S_a)*(S_c+S_a-S_b)))
This formula uses 1 Functions, 5 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Total Surface Area of Triangular Prism - (Measured in Square Meter) - The Total Surface Area of Triangular Prism is the total amount of two-dimensional space occupied by all the faces of the Triangular Prism.
Height of Triangular Prism - (Measured in Meter) - The Height of Triangular Prism is the length of the straight line connecting any base vertex to the corresponding top vertex of the Triangular Prism.
Side A of Base of Triangular Prism - (Measured in Meter) - The Side A of Base of Triangular Prism is the length of the side A of base, of the three base edges of the Triangular Prism.
Side B of Base of Triangular Prism - (Measured in Meter) - The Side B of Base of Triangular Prism is the length of the side B of base, of the three base edges of the Triangular Prism.
Side C of Base of Triangular Prism - (Measured in Meter) - The Side C of Base of Triangular Prism is the length of the side C of base, of the three base edges of the Triangular Prism.

STEP 1: Convert Input(s) to Base Unit

Height of Triangular Prism: 25 Meter --> 25 Meter No Conversion Required
Side A of Base of Triangular Prism: 10 Meter --> 10 Meter No Conversion Required
Side B of Base of Triangular Prism: 14 Meter --> 14 Meter No Conversion Required
Side C of Base of Triangular Prism: 20 Meter --> 20 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

TSA = (h*(S_a+S_b+S_c))+(1/2*sqrt((S_a+S_b+S_c)*(S_a+S_b-S_c)*(S_b+S_c-S_a)*(S_c+S_a-S_b))) --> (25*(10+14+20))+(1/2*sqrt((10+14+20)*(10+14-20)*(14+20-10)*(20+10-14)))

Evaluating ... ...

TSA = 1229.98461447418

STEP 3: Convert Result to Output's Unit

1229.98461447418 Square Meter --> No Conversion Required

FINAL ANSWER

1229.98461447418 ≈ 1229.985 Square Meter <-- Total Surface Area of Triangular Prism

(Calculation completed in 00.004 seconds)

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Created by Mona Gladys

St Joseph's College (SJC), Bengaluru

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Verified by Anamika Mittal

Vellore Institute of Technology (VIT), Bhopal

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< Area of Triangular Prism Calculators

Base Area of Triangular Prism

LaTeX Go Base Area of Triangular Prism = 1/4*sqrt((Side A of Base of Triangular Prism+Side B of Base of Triangular Prism+Side C of Base of Triangular Prism)*(Side A of Base of Triangular Prism+Side B of Base of Triangular Prism-Side C of Base of Triangular Prism)*(Side B of Base of Triangular Prism+Side C of Base of Triangular Prism-Side A of Base of Triangular Prism)*(Side C of Base of Triangular Prism+Side A of Base of Triangular Prism-Side B of Base of Triangular Prism))

Top Area of Triangular Prism given Sides

LaTeX Go Top Area of Triangular Prism = 1/4*sqrt((Side A of Base of Triangular Prism+Side B of Base of Triangular Prism+Side C of Base of Triangular Prism)*(Side B of Base of Triangular Prism+Side C of Base of Triangular Prism-Side A of Base of Triangular Prism)*(Side B of Base of Triangular Prism+Side A of Base of Triangular Prism-Side C of Base of Triangular Prism)*(Side C of Base of Triangular Prism+Side A of Base of Triangular Prism-Side B of Base of Triangular Prism))

Lateral Surface Area of Triangular Prism

LaTeX Go Lateral Surface Area of Triangular Prism = (Side A of Base of Triangular Prism+Side B of Base of Triangular Prism+Side C of Base of Triangular Prism)*Height of Triangular Prism

Base Area of Triangular Prism given Volume

LaTeX Go Base Area of Triangular Prism = Volume of Triangular Prism/Height of Triangular Prism

Total Surface Area of Triangular Prism Formula

LaTeX Go

What is a Triangular Prism?

A Triangular Prism is a polyhedron, (three-dimensional shape) made up of two triangular bases and three rectangular sides. Like other Prisms, the two bases here are parallel and congruent to each other. It has 5 faces, 6 vertices and 9 edges in total. Triangular Prism is a pentahedron and has nine distinct nets.

How to Calculate Total Surface Area of Triangular Prism?

Total Surface Area of Triangular Prism calculator uses Total Surface Area of Triangular Prism = (Height of Triangular Prism*(Side A of Base of Triangular Prism+Side B of Base of Triangular Prism+Side C of Base of Triangular Prism))+(1/2*sqrt((Side A of Base of Triangular Prism+Side B of Base of Triangular Prism+Side C of Base of Triangular Prism)*(Side A of Base of Triangular Prism+Side B of Base of Triangular Prism-Side C of Base of Triangular Prism)*(Side B of Base of Triangular Prism+Side C of Base of Triangular Prism-Side A of Base of Triangular Prism)*(Side C of Base of Triangular Prism+Side A of Base of Triangular Prism-Side B of Base of Triangular Prism))) to calculate the Total Surface Area of Triangular Prism, The Total Surface Area of Triangular Prism formula is defined as the total amount of two-dimensional space occupied by all the faces of the Triangular Prism. Total Surface Area of Triangular Prism is denoted by TSA symbol.

How to calculate Total Surface Area of Triangular Prism using this online calculator? To use this online calculator for Total Surface Area of Triangular Prism, enter Height of Triangular Prism (h), Side A of Base of Triangular Prism (S_a), Side B of Base of Triangular Prism (S_b) & Side C of Base of Triangular Prism (S_c) and hit the calculate button. Here is how the Total Surface Area of Triangular Prism calculation can be explained with given input values -> 1229.985 = (25*(10+14+20))+(1/2*sqrt((10+14+20)*(10+14-20)*(14+20-10)*(20+10-14))).

FAQ

What is Total Surface Area of Triangular Prism?

The Total Surface Area of Triangular Prism formula is defined as the total amount of two-dimensional space occupied by all the faces of the Triangular Prism and is represented as TSA = (h*(S_a+S_b+S_c))+(1/2*sqrt((S_a+S_b+S_c)*(S_a+S_b-S_c)*(S_b+S_c-S_a)*(S_c+S_a-S_b))) or Total Surface Area of Triangular Prism = (Height of Triangular Prism*(Side A of Base of Triangular Prism+Side B of Base of Triangular Prism+Side C of Base of Triangular Prism))+(1/2*sqrt((Side A of Base of Triangular Prism+Side B of Base of Triangular Prism+Side C of Base of Triangular Prism)*(Side A of Base of Triangular Prism+Side B of Base of Triangular Prism-Side C of Base of Triangular Prism)*(Side B of Base of Triangular Prism+Side C of Base of Triangular Prism-Side A of Base of Triangular Prism)*(Side C of Base of Triangular Prism+Side A of Base of Triangular Prism-Side B of Base of Triangular Prism))). The Height of Triangular Prism is the length of the straight line connecting any base vertex to the corresponding top vertex of the Triangular Prism, The Side A of Base of Triangular Prism is the length of the side A of base, of the three base edges of the Triangular Prism, The Side B of Base of Triangular Prism is the length of the side B of base, of the three base edges of the Triangular Prism & The Side C of Base of Triangular Prism is the length of the side C of base, of the three base edges of the Triangular Prism.

How to calculate Total Surface Area of Triangular Prism?

The Total Surface Area of Triangular Prism formula is defined as the total amount of two-dimensional space occupied by all the faces of the Triangular Prism is calculated using Total Surface Area of Triangular Prism = (Height of Triangular Prism*(Side A of Base of Triangular Prism+Side B of Base of Triangular Prism+Side C of Base of Triangular Prism))+(1/2*sqrt((Side A of Base of Triangular Prism+Side B of Base of Triangular Prism+Side C of Base of Triangular Prism)*(Side A of Base of Triangular Prism+Side B of Base of Triangular Prism-Side C of Base of Triangular Prism)*(Side B of Base of Triangular Prism+Side C of Base of Triangular Prism-Side A of Base of Triangular Prism)*(Side C of Base of Triangular Prism+Side A of Base of Triangular Prism-Side B of Base of Triangular Prism))). To calculate Total Surface Area of Triangular Prism, you need Height of Triangular Prism (h), Side A of Base of Triangular Prism (S_a), Side B of Base of Triangular Prism (S_b) & Side C of Base of Triangular Prism (S_c). With our tool, you need to enter the respective value for Height of Triangular Prism, Side A of Base of Triangular Prism, Side B of Base of Triangular Prism & Side C of Base of Triangular 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 Total Surface Area of Triangular Prism?

In this formula, Total Surface Area of Triangular Prism uses Height of Triangular Prism, Side A of Base of Triangular Prism, Side B of Base of Triangular Prism & Side C of Base of Triangular Prism. We can use 1 other way(s) to calculate the same, which is/are as follows -

Total Surface Area of Triangular Prism = (2*Base Area of Triangular Prism)+(Height of Triangular Prism*(Side A of Base of Triangular Prism+Side B of Base of Triangular Prism+Side C of Base of Triangular Prism))

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