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Volume of Triangular Prism given Two Angles and Third Side Formula

GoVolume of Triangular Prism Formula

GoVolume of Triangular Prism given Two Sides and Third Angle 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{\sin (∠B) \cdot \sin (π - ∠A - ∠B)}{2 \cdot \sin (∠A)} \cdot h \cdot {S a}^{2}

V - Volume of Triangular Prism?∠B - Angle B of Base of Triangular Prism?∠A - Angle A of Base of Triangular Prism?h - Height of Triangular Prism?S_a - Side A of Base of Triangular Prism?π - Archimedes' constant?

Volume of Triangular Prism given Two Angles and Third Side Example

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Here is how the Volume of Triangular Prism given Two Angles and Third Side equation looks like with Values.

Here is how the Volume of Triangular Prism given Two Angles and Third Side equation looks like with Units.

Here is how the Volume of Triangular Prism given Two Angles and Third Side equation looks like.

1510.0569 = \frac{\sin (40) \cdot \sin (3.1416 - 30 - 40)}{2 \cdot \sin (30)} \cdot 25 \cdot 10^{2}

1510.0569m³ = \frac{\sin (40°) \cdot \sin (3.1416 - 30° - 40°)}{2 \cdot \sin (30°)} \cdot 25m \cdot {10m}^{2}

1510.0569 = \frac{\sin (40) \cdot \sin (3.1416 - 30 - 40)}{2 \cdot \sin (30)} \cdot 25 \cdot 10^{2}

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Volume of Triangular Prism given Two Angles and Third Side Solution

Follow our step by step solution on how to calculate Volume of Triangular Prism given Two Angles and Third Side?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

V = \frac{\sin (40°) \cdot \sin (π - 30° - 40°)}{2 \cdot \sin (30°)} \cdot 25m \cdot {10m}^{2}

Next Step Substitute values of Constants

∴

V = \frac{\sin (40°) \cdot \sin (3.1416 - 30° - 40°)}{2 \cdot \sin (30°)} \cdot 25m \cdot {10m}^{2}

Next Step Convert Units

∴

V = \frac{\sin (0.6981rad) \cdot \sin (3.1416 - 0.5236rad - 0.6981rad)}{2 \cdot \sin (0.5236rad)} \cdot 25m \cdot {10m}^{2}

Next Step Prepare to Evaluate

∴

V = \frac{\sin (0.6981) \cdot \sin (3.1416 - 0.5236 - 0.6981)}{2 \cdot \sin (0.5236)} \cdot 25 \cdot 10^{2}

Next Step Evaluate

∴

V = 1510.05693388727m³

LAST Step Rounding Answer

∴

V = 1510.0569m³

Volume of Triangular Prism given Two Angles and Third Side Formula Elements

Variables

Constants

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

Angle B of Base of Triangular Prism

Angle B of Base of Triangular Prism is the measure of angle B between the two intersecting sides, side A and side C of a Triangular Prism.

Symbol: ∠B

Measurement: AngleUnit: °

Note: Value should be between 0 to 180.

Formulas to find Angle B of Base of Triangular Prism

Angle A of Base of Triangular Prism

Angle A of Base of Triangular Prism is the measure of angle A between the two intersecting sides, side B and side C of Triangular Prism.

Symbol: ∠A

Measurement: AngleUnit: °

Note: Value should be between 0 to 180.

Formulas to find Angle A of Base 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

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

sin

Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse.

Syntax: sin(Angle)

Other Formulas to find Volume of Triangular Prism

Go Volume of Triangular Prism

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)}

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 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 given Two Angles and Third Side?

Volume of Triangular Prism given Two Angles and Third Side evaluator uses 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 to evaluate the Volume of Triangular Prism, The Volume of Triangular Prism given Two Angles and Third Side formula is defined as the total quantity of three-dimensional space enclosed by the surface of the Triangular Prism and calculated using the two angles and third side of the Triangular Prism. Volume of Triangular Prism is denoted by V symbol.

How to evaluate Volume of Triangular Prism given Two Angles and Third Side using this online evaluator? To use this online evaluator for Volume of Triangular Prism given Two Angles and Third Side, enter Angle B of Base of Triangular Prism (∠B), Angle A of Base of Triangular Prism (∠A), Height of Triangular Prism (h) & Side A of Base of Triangular Prism (S_a) and hit the calculate button.

FAQs on Volume of Triangular Prism given Two Angles and Third Side

What is the formula to find Volume of Triangular Prism given Two Angles and Third Side?

The formula of Volume of Triangular Prism given Two Angles and Third Side is expressed as 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. Here is an example- 1510.057 = (sin(0.698131700797601)*sin(pi-0.5235987755982-0.698131700797601))/(2*sin(0.5235987755982))*25*10^2.

How to calculate Volume of Triangular Prism given Two Angles and Third Side?

With Angle B of Base of Triangular Prism (∠B), Angle A of Base of Triangular Prism (∠A), Height of Triangular Prism (h) & Side A of Base of Triangular Prism (S_a) we can find Volume of Triangular Prism given Two Angles and Third Side using the formula - 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. This formula also uses Archimedes' constant and Sine (sin) 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=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))
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=Base Area of Triangular Prism*Height of Triangular Prism

Can the Volume of Triangular Prism given Two Angles and Third Side be negative?

No, the Volume of Triangular Prism given Two Angles and Third Side, measured in Volume cannot be negative.

Which unit is used to measure Volume of Triangular Prism given Two Angles and Third Side?

Volume of Triangular Prism given Two Angles and Third Side 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 given Two Angles and Third Side can be measured.

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Volume of Triangular Prism given Two Angles and Third Side Formula

​GoVolume of Triangular Prism Formula

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

Volume of Triangular Prism given Two Angles and Third Side Example

Volume of Triangular Prism given Two Angles and Third Side Solution

Volume of Triangular Prism given Two Angles and Third Side Formula Elements

Other Formulas to find Volume of Triangular Prism

How to Evaluate Volume of Triangular Prism given Two Angles and Third Side?

FAQs on Volume of Triangular Prism given Two Angles and Third Side

Variable Name

GoVolume of Triangular Prism Formula

GoVolume of Triangular Prism given Two Sides and Third Angle Formula