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))
ATop = 1/4*sqrt((Sa+Sb+Sc)*(Sb+Sc-Sa)*(Sb+Sa-Sc)*(Sc+Sa-Sb))
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
ATop = 1/4*sqrt((Sa+Sb+Sc)*(Sb+Sc-Sa)*(Sb+Sa-Sc)*(Sc+Sa-Sb)) --> 1/4*sqrt((10+14+20)*(14+20-10)*(14+10-20)*(20+10-14))
Evaluating ... ...
ATop = 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 00.004 seconds)

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8 Area of Triangular Prism Calculators

Total Surface Area of Triangular Prism
Go Total Surface Area of Triangular Prism = (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))+(1/2*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)))
Base Area of Triangular Prism
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
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))
Total Surface Area of Triangular Prism given Base Area
Go Total Surface Area of Triangular Prism = (2*Base Area of Triangular Prism)+(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))
Lateral Surface Area of Triangular Prism
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 Side and Altitude
Go Base Area of Triangular Prism = 1/2*Side A of Base of Triangular Prism*Altitude on Side A of Base of Triangular Prism
Base Area of Triangular Prism given Volume
Go Base Area of Triangular Prism = Volume of Triangular Prism/Height of Triangular Prism
Top Area of Triangular Prism given Volume and Height
Go Top Area of Triangular Prism = Volume of Triangular Prism/Height of Triangular Prism

Top Area of Triangular Prism given Sides Formula

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))
ATop = 1/4*sqrt((Sa+Sb+Sc)*(Sb+Sc-Sa)*(Sb+Sa-Sc)*(Sc+Sa-Sb))

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 ATop 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 (Sa), Side B of Base of Triangular Prism (Sb) & Side C of Base of Triangular Prism (Sc) 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 ATop = 1/4*sqrt((Sa+Sb+Sc)*(Sb+Sc-Sa)*(Sb+Sa-Sc)*(Sc+Sa-Sb)) 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 (Sa), Side B of Base of Triangular Prism (Sb) & Side C of Base of Triangular Prism (Sc). 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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