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Volume of Triangular Prism given Side and Altitude 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 = h \cdot \frac{h' a \cdot S a}{2}

V - Volume of Triangular Prism?h - Height of Triangular Prism?h'_a - Altitude on Side A of Base of Triangular Prism?S_a - Side A of Base of Triangular Prism?

Volume of Triangular Prism given Side and Altitude Example

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

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

Here is how the Volume of Triangular Prism given Side and Altitude equation looks like.

1625 = 25 \cdot \frac{13 \cdot 10}{2}

1625m³ = 25m \cdot \frac{13m \cdot 10m}{2}

1625 = 25 \cdot \frac{13 \cdot 10}{2}

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Volume of Triangular Prism given Side and Altitude Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

V = 25m \cdot \frac{13m \cdot 10m}{2}

Next Step Prepare to Evaluate

∴

V = 25 \cdot \frac{13 \cdot 10}{2}

LAST Step Evaluate

∴

V = 1625m³

Volume of Triangular Prism given Side and Altitude Formula Elements

Variables

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

Altitude on Side A of Base of Triangular Prism

The Altitude on Side A of Base of Triangular Prism is the perpendicular distance from the vertex A to the opposite side A of the base of the Triangular Prism.

Symbol: h'_a

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Altitude on Side A of Base 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

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 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

How to Evaluate Volume of Triangular Prism given Side and Altitude?

Volume of Triangular Prism given Side and Altitude evaluator uses Volume of Triangular Prism = Height of Triangular Prism*(Altitude on Side A of Base of Triangular Prism*Side A of Base of Triangular Prism)/2 to evaluate the Volume of Triangular Prism, Volume of Triangular Prism given Side and Altitude formula is defined as the total quantity of three-dimensional space enclosed by the surface of the Triangular Prism, and calculated using the altitude on side A of base and height of the Triangular Prism. Volume of Triangular Prism is denoted by V symbol.

How to evaluate Volume of Triangular Prism given Side and Altitude using this online evaluator? To use this online evaluator for Volume of Triangular Prism given Side and Altitude, enter Height of Triangular Prism (h), Altitude on Side A of Base of Triangular Prism (h'_a) & Side A of Base of Triangular Prism (S_a) and hit the calculate button.

FAQs on Volume of Triangular Prism given Side and Altitude

What is the formula to find Volume of Triangular Prism given Side and Altitude?

The formula of Volume of Triangular Prism given Side and Altitude is expressed as Volume of Triangular Prism = Height of Triangular Prism*(Altitude on Side A of Base of Triangular Prism*Side A of Base of Triangular Prism)/2. Here is an example- 1625 = 25*(13*10)/2.

How to calculate Volume of Triangular Prism given Side and Altitude?

With Height of Triangular Prism (h), Altitude on Side A of Base of Triangular Prism (h'_a) & Side A of Base of Triangular Prism (S_a) we can find Volume of Triangular Prism given Side and Altitude using the formula - Volume of Triangular Prism = Height of Triangular Prism*(Altitude on Side A of Base of Triangular Prism*Side A of Base of Triangular Prism)/2.

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=(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

Can the Volume of Triangular Prism given Side and Altitude be negative?

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

Which unit is used to measure Volume of Triangular Prism given Side and Altitude?

Volume of Triangular Prism given Side and Altitude 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 Side and Altitude can be measured.

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Volume of Triangular Prism given Side and Altitude Formula

​GoVolume of Triangular Prism Formula

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

Volume of Triangular Prism given Side and Altitude Example

Volume of Triangular Prism given Side and Altitude Solution

Volume of Triangular Prism given Side and Altitude Formula Elements

Other Formulas to find Volume of Triangular Prism

How to Evaluate Volume of Triangular Prism given Side and Altitude?

FAQs on Volume of Triangular Prism given Side and Altitude

Variable Name

GoVolume of Triangular Prism Formula

GoVolume of Triangular Prism given Two Sides and Third Angle Formula