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Top Area of Triangular Prism given Sides Formula

GoTop Area of Triangular Prism given Volume and Height Formula

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The Top Area of Triangular Prism is the total amount of two-dimensional space occupied by the top face of the Triangular Prism. Check FAQs

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)}

A_Top - Top Area 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?

Top Area of Triangular Prism given Sides Example

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Here is how the Top Area of Triangular Prism given Sides equation looks like with Values.

Here is how the Top Area of Triangular Prism given Sides equation looks like with Units.

Here is how the Top Area of Triangular Prism given Sides equation looks like.

64.9923 = \frac{1}{4} \cdot \sqrt{(10 + 14 + 20) \cdot (14 + 20 - 10) \cdot (14 + 10 - 20) \cdot (20 + 10 - 14)}

64.9923m² = \frac{1}{4} \cdot \sqrt{(10m + 14m + 20m) \cdot (14m + 20m - 10m) \cdot (14m + 10m - 20m) \cdot (20m + 10m - 14m)}

64.9923 = \frac{1}{4} \cdot \sqrt{(10 + 14 + 20) \cdot (14 + 20 - 10) \cdot (14 + 10 - 20) \cdot (20 + 10 - 14)}

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Top Area of Triangular Prism given Sides Solution

Follow our step by step solution on how to calculate Top Area of Triangular Prism given Sides?

FIRST Step Consider the formula

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)}

Next Step Substitute values of Variables

∴

A Top = \frac{1}{4} \cdot \sqrt{(10m + 14m + 20m) \cdot (14m + 20m - 10m) \cdot (14m + 10m - 20m) \cdot (20m + 10m - 14m)}

Next Step Prepare to Evaluate

∴

A Top = \frac{1}{4} \cdot \sqrt{(10 + 14 + 20) \cdot (14 + 20 - 10) \cdot (14 + 10 - 20) \cdot (20 + 10 - 14)}

Next Step Evaluate

∴

A Top = 64.9923072370877m²

LAST Step Rounding Answer

∴

A Top = 64.9923m²

Top Area of Triangular Prism given Sides Formula Elements

Variables

Functions

Top Area of Triangular Prism

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

Symbol: A_Top

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Top Area 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 Top Area of Triangular Prism

Go Top Area of Triangular Prism given Volume and Height

A Top = \frac{V}{h}

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 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)}

Go Base Area of Triangular Prism given Side and Altitude

A Base = \frac{1}{2} \cdot S a \cdot h' a

How to Evaluate Top Area of Triangular Prism given Sides?

Top Area of Triangular Prism given Sides evaluator uses 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)) to evaluate the Top Area of Triangular Prism, The Top Area of Triangular Prism given Sides formula is defined as the total amount of two-dimensional space occupied by the top face of the Triangular Prism, calculated using the sides of Triangular Prism. Top Area of Triangular Prism is denoted by A_Top symbol.

How to evaluate Top Area of Triangular Prism given Sides using this online evaluator? To use this online evaluator for Top Area of Triangular Prism given Sides, enter 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 Top Area of Triangular Prism given Sides

What is the formula to find Top Area of Triangular Prism given Sides?

The formula of Top Area of Triangular Prism given Sides is expressed as 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)). Here is an example- 64.99231 = 1/4*sqrt((10+14+20)*(14+20-10)*(14+10-20)*(20+10-14)).

How to calculate Top Area of Triangular Prism given Sides?

With 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 Top Area of Triangular Prism given Sides using the formula - 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)). This formula also uses Square Root (sqrt) function(s).

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

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

Top Area of Triangular Prism=Volume of Triangular Prism/Height of Triangular Prism

Can the Top Area of Triangular Prism given Sides be negative?

No, the Top Area of Triangular Prism given Sides, measured in Area cannot be negative.

Which unit is used to measure Top Area of Triangular Prism given Sides?

Top Area of Triangular Prism given Sides 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 Top Area of Triangular Prism given Sides can be measured.

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Top Area of Triangular Prism given Sides Formula

​GoTop Area of Triangular Prism given Volume and Height Formula

Top Area of Triangular Prism given Sides Example

Top Area of Triangular Prism given Sides Solution

Top Area of Triangular Prism given Sides Formula Elements

Other Formulas to find Top Area of Triangular Prism

Other formulas in Area of Triangular Prism category

How to Evaluate Top Area of Triangular Prism given Sides?

FAQs on Top Area of Triangular Prism given Sides

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GoTop Area of Triangular Prism given Volume and Height Formula