Base Area of Triangular Prism Calculator

✖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 Base Area of Triangular Prism is the total amount of two-dimensional space occupied by the base face of the Triangular Prism.ⓘ Base Area of Triangular Prism [A_Base]

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Base Area of Triangular Prism Solution

STEP 0: Pre-Calculation Summary

Formula Used

Base Area of Triangular Prism = 1/4*sqrt((Side A 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 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 C of Base of Triangular Prism+Side A of Base of Triangular Prism-Side B of Base of Triangular Prism))
A_Base = 1/4*sqrt((S_a+S_b+S_c)*(S_a+S_b-S_c)*(S_b+S_c-S_a)*(S_c+S_a-S_b))
This formula uses 1 Functions, 4 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

Base Area of Triangular Prism - (Measured in Square Meter) - The Base Area of Triangular Prism is the total amount of two-dimensional space occupied by the base face 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

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

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

Evaluating ... ...

A_Base = 64.9923072370877

STEP 3: Convert Result to Output's Unit

64.9923072370877 Square Meter --> No Conversion Required

FINAL ANSWER

64.9923072370877 ≈ 64.99231 Square Meter <-- Base Area of Triangular Prism

(Calculation completed in 00.004 seconds)

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< Area of Triangular Prism Calculators

Base Area of Triangular Prism

LaTeX Go Base Area of Triangular Prism = 1/4*sqrt((Side A 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 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 C of Base of Triangular Prism+Side A of Base of Triangular Prism-Side B of Base of Triangular Prism))

Top Area of Triangular Prism given Sides

LaTeX Go Top Area of Triangular Prism = 1/4*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 B of Base of Triangular Prism+Side A of Base of Triangular Prism-Side C of Base of Triangular Prism)*(Side C of Base of Triangular Prism+Side A of Base of Triangular Prism-Side B of Base of Triangular Prism))

Lateral Surface Area of Triangular Prism

LaTeX Go Lateral Surface Area of Triangular Prism = (Side A of Base of Triangular Prism+Side B of Base of Triangular Prism+Side C of Base of Triangular Prism)*Height of Triangular Prism

Base Area of Triangular Prism given Volume

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

Base Area of Triangular Prism 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 Base Area of Triangular Prism?

Base Area of Triangular Prism calculator uses Base Area of Triangular Prism = 1/4*sqrt((Side A 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 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 C of Base of Triangular Prism+Side A of Base of Triangular Prism-Side B of Base of Triangular Prism)) to calculate the Base Area of Triangular Prism, Base Area of Triangular Prism formula is defined as the total amount of two-dimensional space occupied by the base face of the Triangular Prism. Base Area of Triangular Prism is denoted by A_Base symbol.

How to calculate Base Area of Triangular Prism using this online calculator? To use this online calculator for Base Area of Triangular Prism, enter 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 Base Area of Triangular Prism calculation can be explained with given input values -> 64.99231 = 1/4*sqrt((10+14+20)*(10+14-20)*(14+20-10)*(20+10-14)).

FAQ

What is Base Area of Triangular Prism?

Base Area of Triangular Prism formula is defined as the total amount of two-dimensional space occupied by the base face of the Triangular Prism and is represented as A_Base = 1/4*sqrt((S_a+S_b+S_c)*(S_a+S_b-S_c)*(S_b+S_c-S_a)*(S_c+S_a-S_b)) or Base Area of Triangular Prism = 1/4*sqrt((Side A 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 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 C of Base of Triangular Prism+Side A of Base of Triangular Prism-Side B 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, 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 Base Area of Triangular Prism?

Base Area of Triangular Prism formula is defined as the total amount of two-dimensional space occupied by the base face of the Triangular Prism is calculated using Base Area of Triangular Prism = 1/4*sqrt((Side A 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 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 C of Base of Triangular Prism+Side A of Base of Triangular Prism-Side B of Base of Triangular Prism)). To calculate Base Area of Triangular Prism, you need 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 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 Base Area of Triangular Prism?

In this formula, Base Area of Triangular Prism uses Side A of Base of Triangular Prism, Side B of Base of Triangular Prism & Side C of Base of Triangular Prism. We can use 2 other way(s) to calculate the same, which is/are as follows -

Base Area of Triangular Prism = Volume of Triangular Prism/Height of Triangular Prism
Base Area of Triangular Prism = 1/2*Side A of Base of Triangular Prism*Altitude on Side A of Base of Triangular Prism

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