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Total Surface Area of Triangular Prism given Base Area Formula

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GoTotal Surface Area of Triangular Prism 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 = (2 \cdot A Base) + (h \cdot (S a + S b + S c))

TSA - Total Surface Area of Triangular Prism?A_Base - Base 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 given Base Area Example

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

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

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

1230 = (2 \cdot 65) + (25 \cdot (10 + 14 + 20))

1230m² = (2 \cdot 65m²) + (25m \cdot (10m + 14m + 20m))

1230 = (2 \cdot 65) + (25 \cdot (10 + 14 + 20))

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Total Surface Area of Triangular Prism given Base Area Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

TSA = (2 \cdot 65m²) + (25m \cdot (10m + 14m + 20m))

Next Step Prepare to Evaluate

∴

TSA = (2 \cdot 65) + (25 \cdot (10 + 14 + 20))

LAST Step Evaluate

∴

TSA = 1230m²

Total Surface Area of Triangular Prism given Base Area Formula Elements

Variables

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.

Base Area of Triangular Prism

The Base Area of Triangular Prism is the total amount of two-dimensional space occupied by the base face of the Triangular Prism.

Symbol: A_Base

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

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.

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.

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.

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.

Credits

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Created by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

Anshika Arya has created this Formula and 2000+ more formulas!

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Verified by Team Softusvista

Softusvista Office (Pune), India

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Other Formulas to find Total Surface Area of Triangular Prism

Go Total Surface Area of Triangular Prism

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)})

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)}

See More

How to Evaluate Total Surface Area of Triangular Prism given Base Area?

Total Surface Area of Triangular Prism given Base Area evaluator uses 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)) to evaluate the Total Surface Area of Triangular Prism, The Total Surface Area of Triangular Prism given Base Area formula formula is defined as the total amount of two-dimensional space occupied by all the faces of the Triangular Prism, and calculated using the base area of Triangular Prism. Total Surface Area of Triangular Prism is denoted by TSA symbol.

How to evaluate Total Surface Area of Triangular Prism given Base Area using this online evaluator? To use this online evaluator for Total Surface Area of Triangular Prism given Base Area, enter Base Area of Triangular Prism (A_Base), 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 given Base Area

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

The formula of Total Surface Area of Triangular Prism given Base Area is expressed as 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)). Here is an example- 1230 = (2*65)+(25*(10+14+20)).

How to calculate Total Surface Area of Triangular Prism given Base Area?

With Base Area of Triangular Prism (A_Base), 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 given Base Area using the formula - 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)).

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=(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)))

Can the Total Surface Area of Triangular Prism given Base Area be negative?

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

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

Total Surface Area of Triangular Prism given Base Area 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 given Base Area can be measured.

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