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Base Area of Triangular Prism Formula

GoBase Area of Triangular Prism given Volume Formula

GoBase Area of Triangular Prism given Side and Altitude Formula

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

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)}

A_Base - Base 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?

Base Area of Triangular Prism Example

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

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

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

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

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

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

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Base Area of Triangular Prism Solution

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

FIRST Step Consider the formula

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)}

Next Step Substitute values of Variables

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

A Base = 64.9923072370877m²

LAST Step Rounding Answer

∴

A Base = 64.9923m²

Base Area of Triangular Prism Formula Elements

Variables

Functions

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.

Formulas to find Base 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 Base Area of Triangular Prism

Go Base Area of Triangular Prism given Volume

A Base = \frac{V}{h}

Go Base Area of Triangular Prism given Side and Altitude

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

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 Top Area of Triangular Prism given Volume and Height

A Top = \frac{V}{h}

Go Total Surface Area of Triangular Prism given Base Area

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

How to Evaluate Base Area of Triangular Prism?

Base Area of Triangular Prism evaluator uses 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)) to evaluate the Base Area of Triangular Prism, Base Area of Triangular Prism formula is defined as the total amount of two-dimensional space occupied by the base face of the Triangular Prism. Base Area of Triangular Prism is denoted by A_Base symbol.

How to evaluate Base Area of Triangular Prism using this online evaluator? To use this online evaluator for Base Area of Triangular Prism, 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 Base Area of Triangular Prism

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

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

How to calculate Base Area of Triangular Prism?

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 Base Area of Triangular Prism using the formula - 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)). This formula also uses Square Root (sqrt) function(s).

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

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

Base Area of Triangular Prism=Volume of Triangular Prism/Height of Triangular Prism
Base Area of Triangular Prism=1/2*Side A of Base of Triangular Prism*Altitude on Side A of Base of Triangular Prism

Can the Base Area of Triangular Prism be negative?

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

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

Base 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 Base Area of Triangular Prism can be measured.

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Base Area of Triangular Prism Formula

​GoBase Area of Triangular Prism given Volume Formula

​GoBase Area of Triangular Prism given Side and Altitude Formula

Base Area of Triangular Prism Example

Base Area of Triangular Prism Solution

Base Area of Triangular Prism Formula Elements

Other Formulas to find Base Area of Triangular Prism

Other formulas in Area of Triangular Prism category

How to Evaluate Base Area of Triangular Prism?

FAQs on Base Area of Triangular Prism

Variable Name

GoBase Area of Triangular Prism given Volume Formula

GoBase Area of Triangular Prism given Side and Altitude Formula