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Volume of Triangular Prism Formula

GoVolume of Triangular Prism given Two Sides and Third Angle Formula

GoVolume of Triangular Prism given Two Angles and Third Side Formula

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The Volume of Triangular Prism is the total quantity of three-dimensional space enclosed by the surface of the Triangular Prism. Check FAQs

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

V - Volume 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?

Volume of Triangular Prism Example

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

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

Here is how the Volume of Triangular Prism equation looks like.

1624.8077 = \frac{1}{4} \cdot 25 \cdot \sqrt{(10 + 14 + 20) \cdot (14 + 20 - 10) \cdot (10 + 20 - 14) \cdot (10 + 14 - 20)}

1624.8077m³ = \frac{1}{4} \cdot 25m \cdot \sqrt{(10m + 14m + 20m) \cdot (14m + 20m - 10m) \cdot (10m + 20m - 14m) \cdot (10m + 14m - 20m)}

1624.8077 = \frac{1}{4} \cdot 25 \cdot \sqrt{(10 + 14 + 20) \cdot (14 + 20 - 10) \cdot (10 + 20 - 14) \cdot (10 + 14 - 20)}

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Volume of Triangular Prism Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

V = \frac{1}{4} \cdot 25m \cdot \sqrt{(10m + 14m + 20m) \cdot (14m + 20m - 10m) \cdot (10m + 20m - 14m) \cdot (10m + 14m - 20m)}

Next Step Prepare to Evaluate

∴

V = \frac{1}{4} \cdot 25 \cdot \sqrt{(10 + 14 + 20) \cdot (14 + 20 - 10) \cdot (10 + 20 - 14) \cdot (10 + 14 - 20)}

Next Step Evaluate

∴

V = 1624.80768092719m³

LAST Step Rounding Answer

∴

V = 1624.8077m³

Volume of Triangular Prism Formula Elements

Variables

Functions

Volume of Triangular Prism

The Volume of Triangular Prism is the total quantity of three-dimensional space enclosed by the surface of the Triangular Prism.

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume 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 Volume of Triangular Prism

Go Volume of Triangular Prism given Two Sides and Third Angle

V = \frac{\sin (∠C)}{2} \cdot h \cdot S a \cdot S b

Go Volume of Triangular Prism given Two Angles and Third Side

V = \frac{\sin (∠B) \cdot \sin (π - ∠A - ∠B)}{2 \cdot \sin (∠A)} \cdot h \cdot {S a}^{2}

Go Volume of Triangular Prism given Base Area

V = A Base \cdot h

Go Volume of Triangular Prism given Side and Altitude

V = h \cdot \frac{h' a \cdot S a}{2}

How to Evaluate Volume of Triangular Prism?

Volume of Triangular Prism evaluator uses Volume of Triangular Prism = 1/4*Height of Triangular Prism*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 A of Base of Triangular Prism+Side C of Base of Triangular Prism-Side B 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)) to evaluate the Volume of Triangular Prism, Volume of Triangular Prism formula is defined as the total quantity of three-dimensional space enclosed by the surface of the Triangular Prism. Volume of Triangular Prism is denoted by V symbol.

How to evaluate Volume of Triangular Prism using this online evaluator? To use this online evaluator for Volume 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 Volume of Triangular Prism

What is the formula to find Volume of Triangular Prism?

The formula of Volume of Triangular Prism is expressed as Volume of Triangular Prism = 1/4*Height of Triangular Prism*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 A of Base of Triangular Prism+Side C of Base of Triangular Prism-Side B 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)). Here is an example- 1624.808 = 1/4*25*sqrt((10+14+20)*(14+20-10)*(10+20-14)*(10+14-20)).

How to calculate Volume 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 Volume of Triangular Prism using the formula - Volume of Triangular Prism = 1/4*Height of Triangular Prism*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 A of Base of Triangular Prism+Side C of Base of Triangular Prism-Side B 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)). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Volume of Triangular Prism?

Here are the different ways to Calculate Volume of Triangular Prism-

Volume of Triangular Prism=sin(Angle C of Base of Triangular Prism)/2*Height of Triangular Prism*Side A of Base of Triangular Prism*Side B of Base of Triangular Prism
Volume of Triangular Prism=(sin(Angle B of Base of Triangular Prism)*sin(pi-Angle A of Base of Triangular Prism-Angle B of Base of Triangular Prism))/(2*sin(Angle A of Base of Triangular Prism))*Height of Triangular Prism*Side A of Base of Triangular Prism^2
Volume of Triangular Prism=Base Area of Triangular Prism*Height of Triangular Prism

Can the Volume of Triangular Prism be negative?

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

Which unit is used to measure Volume of Triangular Prism?

Volume of Triangular Prism is usually measured using the Cubic Meter[m³] for Volume. Cubic Centimeter[m³], Cubic Millimeter[m³], Liter[m³] are the few other units in which Volume of Triangular Prism can be measured.

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Volume of Triangular Prism Formula

​GoVolume of Triangular Prism given Two Sides and Third Angle Formula

​GoVolume of Triangular Prism given Two Angles and Third Side Formula

Volume of Triangular Prism Example

Volume of Triangular Prism Solution

Volume of Triangular Prism Formula Elements

Other Formulas to find Volume of Triangular Prism

How to Evaluate Volume of Triangular Prism?

FAQs on Volume of Triangular Prism

Variable Name

GoVolume of Triangular Prism given Two Sides and Third Angle Formula

GoVolume of Triangular Prism given Two Angles and Third Side Formula