Volume of Triangular Prism given Two Sides and Third Angle Calculator

✖Angle C of Base of Triangular Prism is the measure of angle C between the two intersecting sides, side A and side B of Triangular Prism.ⓘ Angle C of Base of Triangular Prism [∠C]			+10% -10%
✖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.ⓘ Height of Triangular Prism [h]			+10% -10%
✖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.ⓘ Side A of Base of Triangular Prism [S_a]			+10% -10%
✖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.ⓘ Side B of Base of Triangular Prism [S_b]			+10% -10%

✖The Volume of Triangular Prism is the total quantity of three-dimensional space enclosed by the surface of the Triangular Prism.ⓘ Volume of Triangular Prism given Two Sides and Third Angle [V]

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Volume of Triangular Prism given Two Sides and Third Angle Solution

STEP 0: Pre-Calculation Summary

Formula Used

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
V = sin(∠C)/2*h*S_a*S_b
This formula uses 1 Functions, 5 Variables

Functions Used

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., sin(Angle)

Variables Used

Volume of Triangular Prism - (Measured in Cubic Meter) - The Volume of Triangular Prism is the total quantity of three-dimensional space enclosed by the surface of the Triangular Prism.
Angle C of Base of Triangular Prism - (Measured in Radian) - Angle C of Base of Triangular Prism is the measure of angle C between the two intersecting sides, side A and side B of Triangular Prism.
Height of Triangular Prism - (Measured in Meter) - 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.
Side A of Base of Triangular Prism - (Measured in Meter) - 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.
Side B of Base of Triangular Prism - (Measured in Meter) - 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.

STEP 1: Convert Input(s) to Base Unit

Angle C of Base of Triangular Prism: 110 Degree --> 1.9198621771934 Radian (Check conversion here)
Height of Triangular Prism: 25 Meter --> 25 Meter No Conversion Required
Side A of Base of Triangular Prism: 10 Meter --> 10 Meter No Conversion Required
Side B of Base of Triangular Prism: 14 Meter --> 14 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V = sin(∠C)/2*h*S_a*S_b --> sin(1.9198621771934)/2*25*10*14

Evaluating ... ...

V = 1644.46208637556

STEP 3: Convert Result to Output's Unit

1644.46208637556 Cubic Meter --> No Conversion Required

FINAL ANSWER

1644.46208637556 ≈ 1644.462 Cubic Meter <-- Volume of Triangular Prism

(Calculation completed in 00.004 seconds)

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< Volume of Triangular Prism Calculators

Volume of Triangular Prism

LaTeX Go 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 given Two Angles and Third Side

LaTeX Go 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 given Two Sides and Third Angle

LaTeX Go 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 given Base Area

LaTeX Go Volume of Triangular Prism = Base Area of Triangular Prism*Height of Triangular Prism

Volume of Triangular Prism given Two Sides and Third Angle Formula

LaTeX Go

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
V = sin(∠C)/2*h*S_a*S_b

What is a Triangular Prism?

A Triangular Prism is a polyhedron, (three-dimensional shape) made up of two triangular bases and three rectangular sides. Like other Prisms, the two bases here are parallel and congruent to each other. It has 5 faces, 6 vertices and 9 edges in total. Triangular Prism is a pentahedron and has nine distinct nets.

How to Calculate Volume of Triangular Prism given Two Sides and Third Angle?

Volume of Triangular Prism given Two Sides and Third Angle calculator uses 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 to calculate the Volume of Triangular Prism, Volume of Triangular Prism given Two Sides and Third Angle formula is defined as the total quantity of three-dimensional space enclosed by the surface of the Triangular Prism and calculated using the angle between the two sides, two sides, and height of the Triangular Prism. Volume of Triangular Prism is denoted by V symbol.

How to calculate Volume of Triangular Prism given Two Sides and Third Angle using this online calculator? To use this online calculator for Volume of Triangular Prism given Two Sides and Third Angle, enter Angle C of Base of Triangular Prism (∠C), Height of Triangular Prism (h), Side A of Base of Triangular Prism (S_a) & Side B of Base of Triangular Prism (S_b) and hit the calculate button. Here is how the Volume of Triangular Prism given Two Sides and Third Angle calculation can be explained with given input values -> 1644.462 = sin(1.9198621771934)/2*25*10*14.

FAQ

What is Volume of Triangular Prism given Two Sides and Third Angle?

Volume of Triangular Prism given Two Sides and Third Angle formula is defined as the total quantity of three-dimensional space enclosed by the surface of the Triangular Prism and calculated using the angle between the two sides, two sides, and height of the Triangular Prism and is represented as V = sin(∠C)/2*h*S_a*S_b or 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. Angle C of Base of Triangular Prism is the measure of angle C between the two intersecting sides, side A and side B 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, 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 & 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.

How to calculate Volume of Triangular Prism given Two Sides and Third Angle?

Volume of Triangular Prism given Two Sides and Third Angle formula is defined as the total quantity of three-dimensional space enclosed by the surface of the Triangular Prism and calculated using the angle between the two sides, two sides, and height of the Triangular Prism is calculated using 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. To calculate Volume of Triangular Prism given Two Sides and Third Angle, you need Angle C of Base of Triangular Prism (∠C), Height of Triangular Prism (h), Side A of Base of Triangular Prism (S_a) & Side B of Base of Triangular Prism (S_b). With our tool, you need to enter the respective value for Angle C of Base of Triangular Prism, Height of Triangular Prism, Side A of Base of Triangular Prism & Side B of Base of Triangular Prism and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Volume of Triangular Prism?

In this formula, Volume of Triangular Prism uses Angle C of Base of Triangular Prism, Height of Triangular Prism, Side A of Base of Triangular Prism & Side B of Base of Triangular Prism. We can use 3 other way(s) to calculate the same, which is/are as follows -

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 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

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