Volume of Triangular Prism given Two Angles and Third Side Calculator

✖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.ⓘ Angle B of Base of Triangular Prism [∠B]			+10% -10%
✖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.ⓘ Angle A of Base of Triangular Prism [∠A]			+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 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 Angles and Third Side [V]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download 3D Geometry Formula PDF PDF Image

Volume of Triangular Prism given Two Angles and Third Side Solution

STEP 0: Pre-Calculation Summary

Formula Used

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
V = (sin(∠B)*sin(pi-∠A-∠B))/(2*sin(∠A))*h*S_a^2
This formula uses 1 Constants, 1 Functions, 5 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

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 B of Base of Triangular Prism - (Measured in Radian) - 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.
Angle A of Base of Triangular Prism - (Measured in Radian) - 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.
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.

STEP 1: Convert Input(s) to Base Unit

Angle B of Base of Triangular Prism: 40 Degree --> 0.698131700797601 Radian (Check conversion here)
Angle A of Base of Triangular Prism: 30 Degree --> 0.5235987755982 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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V = (sin(∠B)*sin(pi-∠A-∠B))/(2*sin(∠A))*h*S_a^2 --> (sin(0.698131700797601)*sin(pi-0.5235987755982-0.698131700797601))/(2*sin(0.5235987755982))*25*10^2

Evaluating ... ...

V = 1510.05693388727

STEP 3: Convert Result to Output's Unit

1510.05693388727 Cubic Meter --> No Conversion Required

FINAL ANSWER

1510.05693388727 ≈ 1510.057 Cubic Meter <-- Volume of Triangular Prism

(Calculation completed in 00.020 seconds)

You are here -

Home » Math » Geometry » 3D Geometry » Prisms » Triangular Prism » Volume of Triangular Prism » Volume of Triangular Prism given Two Angles and Third Side

Credits

Created by Team Softusvista

Softusvista Office (Pune), India

Team Softusvista has created this Calculator and 600+ more calculators!

Verified by Himanshi Sharma

Bhilai Institute of Technology (BIT), Raipur

Himanshi Sharma has verified this Calculator and 800+ more calculators!

< 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 Angles and Third Side Formula

LaTeX Go

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 Angles and Third Side?

Volume of Triangular Prism given Two Angles and Third Side calculator 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 calculate 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 calculate Volume of Triangular Prism given Two Angles and Third Side using this online calculator? To use this online calculator 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. Here is how the Volume of Triangular Prism given Two Angles and Third Side calculation can be explained with given input values -> 1510.057 = (sin(0.698131700797601)*sin(pi-0.5235987755982-0.698131700797601))/(2*sin(0.5235987755982))*25*10^2.

FAQ

What is Volume of Triangular Prism given Two Angles and Third Side?

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 and is represented as V = (sin(∠B)*sin(pi-∠A-∠B))/(2*sin(∠A))*h*S_a^2 or 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. 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, 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, 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.

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

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 is calculated using 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 calculate Volume of Triangular Prism given Two Angles and Third Side, you need 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). With our tool, you need to enter the respective value for Angle B of Base of Triangular Prism, Angle A of Base of Triangular Prism, Height of Triangular Prism & Side A 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 B of Base of Triangular Prism, Angle A of Base of Triangular Prism, Height of Triangular Prism & Side A 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 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

Home

FREE PDFs

🔍 Search