Top Area of Triangular Prism given Sides 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 Top Area of Triangular Prism is the total amount of two-dimensional space occupied by the top face of the Triangular Prism.ⓘ Top Area of Triangular Prism given Sides [A_Top]

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Top Area of Triangular Prism given Sides Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
A_Top = 1/4*sqrt((S_a+S_b+S_c)*(S_b+S_c-S_a)*(S_b+S_a-S_c)*(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

Top Area of Triangular Prism - (Measured in Square Meter) - The Top Area of Triangular Prism is the total amount of two-dimensional space occupied by the top 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_Top = 1/4*sqrt((S_a+S_b+S_c)*(S_b+S_c-S_a)*(S_b+S_a-S_c)*(S_c+S_a-S_b)) --> 1/4*sqrt((10+14+20)*(14+20-10)*(14+10-20)*(20+10-14))

Evaluating ... ...

A_Top = 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 <-- Top Area of Triangular Prism

(Calculation completed in 00.873 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

Top Area of Triangular Prism given Sides 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 Top Area of Triangular Prism given Sides?

Top Area of Triangular Prism given Sides calculator uses 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)) to calculate the Top Area of Triangular Prism, The Top Area of Triangular Prism given Sides formula is defined as the total amount of two-dimensional space occupied by the top face of the Triangular Prism, calculated using the sides of Triangular Prism. Top Area of Triangular Prism is denoted by A_Top symbol.

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

FAQ

What is Top Area of Triangular Prism given Sides?

The Top Area of Triangular Prism given Sides formula is defined as the total amount of two-dimensional space occupied by the top face of the Triangular Prism, calculated using the sides of Triangular Prism and is represented as A_Top = 1/4*sqrt((S_a+S_b+S_c)*(S_b+S_c-S_a)*(S_b+S_a-S_c)*(S_c+S_a-S_b)) or 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)). 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 Top Area of Triangular Prism given Sides?

The Top Area of Triangular Prism given Sides formula is defined as the total amount of two-dimensional space occupied by the top face of the Triangular Prism, calculated using the sides of Triangular Prism is calculated using 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)). To calculate Top Area of Triangular Prism given Sides, 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 Top Area of Triangular Prism?

In this formula, Top 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 1 other way(s) to calculate the same, which is/are as follows -

Top Area of Triangular Prism = Volume of Triangular Prism/Height of Triangular Prism

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