Volume of Triangular Prism Calculator

✖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 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.ⓘ Side C of Base of Triangular Prism [S_c]			+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 [V]

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Formula

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Volume of Triangular Prism

Formula

`"V" = 1/4*"h"*sqrt(("S"_{"a"}+"S"_{"b"}+"S"_{"c"})*("S"_{"b"}+"S"_{"c"}-"S"_{"a"})*("S"_{"a"}+"S"_{"c"}-"S"_{"b"})*("S"_{"a"}+"S"_{"b"}-"S"_{"c"}))`

Example

`"1624.808m³"=1/4*"25m"*sqrt(("10m"+"14m"+"20m")*("14m"+"20m"-"10m")*("10m"+"20m"-"14m")*("10m"+"14m"-"20m"))`

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Volume of Triangular Prism Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
V = 1/4*h*sqrt((S_a+S_b+S_c)*(S_b+S_c-S_a)*(S_a+S_c-S_b)*(S_a+S_b-S_c))
This formula uses 1 Functions, 5 Variables

Functions Used

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., sqrt(Number)

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.
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.
Side C of Base of Triangular Prism - (Measured in Meter) - 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.

STEP 1: Convert Input(s) to Base Unit

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
Side C of Base of Triangular Prism: 20 Meter --> 20 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V = 1/4*h*sqrt((S_a+S_b+S_c)*(S_b+S_c-S_a)*(S_a+S_c-S_b)*(S_a+S_b-S_c)) --> 1/4*25*sqrt((10+14+20)*(14+20-10)*(10+20-14)*(10+14-20))

Evaluating ... ...

V = 1624.80768092719

STEP 3: Convert Result to Output's Unit

1624.80768092719 Cubic Meter --> No Conversion Required

FINAL ANSWER

1624.80768092719 ≈ 1624.808 Cubic Meter <-- Volume of Triangular Prism

(Calculation completed in 00.020 seconds)

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< 5 Volume of Triangular Prism Calculators

Volume of Triangular Prism

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

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

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 Side and Altitude

Go 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

Volume of Triangular Prism given Base Area

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

Volume of Triangular Prism Formula

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?

Volume of Triangular Prism calculator 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 calculate 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 calculate Volume of Triangular Prism using this online calculator? To use this online calculator 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. Here is how the Volume of Triangular Prism calculation can be explained with given input values -> 1624.808 = 1/4*25*sqrt((10+14+20)*(14+20-10)*(10+20-14)*(10+14-20)).

FAQ

What is 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 and is represented as V = 1/4*h*sqrt((S_a+S_b+S_c)*(S_b+S_c-S_a)*(S_a+S_c-S_b)*(S_a+S_b-S_c)) or 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)). 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 & 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.

How to calculate 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 is calculated using 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 calculate Volume of Triangular Prism, you need 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). With our tool, you need to enter the respective value for Height of Triangular Prism, Side A of Base of Triangular Prism, Side B of Base of Triangular Prism & Side C 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 Height of Triangular Prism, Side A of Base of Triangular Prism, Side B of Base of Triangular Prism & Side C of Base of Triangular Prism. We can use 4 other way(s) to calculate the same, which is/are as follows -

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
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

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