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Total Surface Area of Triangular Prism Formula

GoTotal Surface Area of Triangular Prism given Base Area Formula

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The Total Surface Area of Triangular Prism is the total amount of two-dimensional space occupied by all the faces of the Triangular Prism. Check FAQs

TSA = (h \cdot (S a + S b + S c)) + (\frac{1}{2} \cdot \sqrt{(S a + S b + S c) \cdot (S a + S b - S c) \cdot (S b + S c - S a) \cdot (S c + S a - S b)})

TSA - Total Surface Area of Triangular Prism?h - Height of Triangular Prism?S_a - Side A of Base of Triangular Prism?S_b - Side B of Base of Triangular Prism?S_c - Side C of Base of Triangular Prism?

Total Surface Area of Triangular Prism Example

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Here is how the Total Surface Area of Triangular Prism equation looks like with Values.

Here is how the Total Surface Area of Triangular Prism equation looks like with Units.

Here is how the Total Surface Area of Triangular Prism equation looks like.

1229.9846 = (25 \cdot (10 + 14 + 20)) + (\frac{1}{2} \cdot \sqrt{(10 + 14 + 20) \cdot (10 + 14 - 20) \cdot (14 + 20 - 10) \cdot (20 + 10 - 14)})

1229.9846m² = (25m \cdot (10m + 14m + 20m)) + (\frac{1}{2} \cdot \sqrt{(10m + 14m + 20m) \cdot (10m + 14m - 20m) \cdot (14m + 20m - 10m) \cdot (20m + 10m - 14m)})

1229.9846 = (25 \cdot (10 + 14 + 20)) + (\frac{1}{2} \cdot \sqrt{(10 + 14 + 20) \cdot (10 + 14 - 20) \cdot (14 + 20 - 10) \cdot (20 + 10 - 14)})

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Total Surface Area of Triangular Prism Solution

Follow our step by step solution on how to calculate Total Surface Area of Triangular Prism?

FIRST Step Consider the formula

TSA = (h \cdot (S a + S b + S c)) + (\frac{1}{2} \cdot \sqrt{(S a + S b + S c) \cdot (S a + S b - S c) \cdot (S b + S c - S a) \cdot (S c + S a - S b)})

Next Step Substitute values of Variables

∴

TSA = (25m \cdot (10m + 14m + 20m)) + (\frac{1}{2} \cdot \sqrt{(10m + 14m + 20m) \cdot (10m + 14m - 20m) \cdot (14m + 20m - 10m) \cdot (20m + 10m - 14m)})

Next Step Prepare to Evaluate

∴

TSA = (25 \cdot (10 + 14 + 20)) + (\frac{1}{2} \cdot \sqrt{(10 + 14 + 20) \cdot (10 + 14 - 20) \cdot (14 + 20 - 10) \cdot (20 + 10 - 14)})

Next Step Evaluate

∴

TSA = 1229.98461447418m²

LAST Step Rounding Answer

∴

TSA = 1229.9846m²

Total Surface Area of Triangular Prism Formula Elements

Variables

Functions

Total Surface Area of Triangular Prism

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

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area of Triangular Prism

Height 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.

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height of Triangular Prism

Side A of Base of 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.

Symbol: S_a

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Side A of Base of Triangular Prism

Side B of Base of 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.

Symbol: S_b

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Side B of Base of Triangular Prism

Side C of Base of 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.

Symbol: S_c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Side C of Base of Triangular Prism

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.

Syntax: sqrt(Number)

Other Formulas to find Total Surface Area of Triangular Prism

Go Total Surface Area of Triangular Prism given Base Area

TSA = (2 \cdot A Base) + (h \cdot (S a + S b + S c))

Other formulas in Area of Triangular Prism category

Go Lateral Surface Area of Triangular Prism

LSA = (S a + S b + S c) \cdot h

Go Top Area of Triangular Prism given Sides

A Top = \frac{1}{4} \cdot \sqrt{(S a + S b + S c) \cdot (S b + S c - S a) \cdot (S b + S a - S c) \cdot (S c + S a - S b)}

Go Base Area of Triangular Prism given Volume

A Base = \frac{V}{h}

Go Base Area of Triangular Prism

A Base = \frac{1}{4} \cdot \sqrt{(S a + S b + S c) \cdot (S a + S b - S c) \cdot (S b + S c - S a) \cdot (S c + S a - S b)}

How to Evaluate Total Surface Area of Triangular Prism?

Total Surface Area of Triangular Prism evaluator 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 evaluate 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 evaluate Total Surface Area of Triangular Prism using this online evaluator? To use this online evaluator 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.

FAQs on Total Surface Area of Triangular Prism

What is the formula to find Total Surface Area of Triangular Prism?

The formula of Total Surface Area of Triangular Prism is expressed as 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))). Here is an example- 1229.985 = (25*(10+14+20))+(1/2*sqrt((10+14+20)*(10+14-20)*(14+20-10)*(20+10-14))).

How to calculate Total Surface Area of Triangular Prism?

With 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) we can find Total Surface Area of Triangular Prism using the formula - 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))). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Total Surface Area of Triangular Prism?

Here are the different ways to Calculate Total Surface Area of Triangular Prism-

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))

Can the Total Surface Area of Triangular Prism be negative?

No, the Total Surface Area of Triangular Prism, measured in Area cannot be negative.

Which unit is used to measure Total Surface Area of Triangular Prism?

Total Surface Area of Triangular Prism is usually measured using the Square Meter[m²] for Area. Square Kilometer[m²], Square Centimeter[m²], Square Millimeter[m²] are the few other units in which Total Surface Area of Triangular Prism can be measured.

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Total Surface Area of Triangular Prism Formula

​GoTotal Surface Area of Triangular Prism given Base Area Formula

Total Surface Area of Triangular Prism Example

Total Surface Area of Triangular Prism Solution

Total Surface Area of Triangular Prism Formula Elements

Other Formulas to find Total Surface Area of Triangular Prism

Other formulas in Area of Triangular Prism category

How to Evaluate Total Surface Area of Triangular Prism?

FAQs on Total Surface Area of Triangular Prism

Variable Name

GoTotal Surface Area of Triangular Prism given Base Area Formula