Base Area of Triangular Prism given Side and Altitude 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 Altitude on Side A of Base of Triangular Prism is the perpendicular distance from the vertex A to the opposite side A of the base of the Triangular Prism.ⓘ Altitude on Side A of Base of Triangular Prism [h'_a]			+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 given Side and Altitude [A_Base]

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Formula

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Base Area of Triangular Prism given Side and Altitude

Formula

`"A"_{"Base"} = 1/2*"S"_{"a"}*"h'"_{"a"}`

Example

`"65m²"=1/2*"10m"*"13m"`

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Base Area of Triangular Prism given Side and Altitude Solution

STEP 0: Pre-Calculation Summary

Formula Used

Base Area of Triangular Prism = 1/2*Side A of Base of Triangular Prism*Altitude on Side A of Base of Triangular Prism
A_Base = 1/2*S_a*h'_a
This formula uses 3 Variables

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.
Altitude on Side A of Base of Triangular Prism - (Measured in Meter) - The Altitude on Side A of Base of Triangular Prism is the perpendicular distance from the vertex A to the opposite side A of the base 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
Altitude on Side A of Base of Triangular Prism: 13 Meter --> 13 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A_Base = 1/2*S_a*h'_a --> 1/2*10*13

Evaluating ... ...

A_Base = 65

STEP 3: Convert Result to Output's Unit

65 Square Meter --> No Conversion Required

FINAL ANSWER

65 Square Meter <-- Base Area of Triangular Prism

(Calculation completed in 00.020 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

Base Area of Triangular Prism given Side and Altitude Formula

Base Area of Triangular Prism = 1/2*Side A of Base of Triangular Prism*Altitude on Side A of Base of Triangular Prism
A_Base = 1/2*S_a*h'_a

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 given Side and Altitude?

Base Area of Triangular Prism given Side and Altitude calculator uses Base Area of Triangular Prism = 1/2*Side A of Base of Triangular Prism*Altitude on Side A of Base of Triangular Prism to calculate the Base Area of Triangular Prism, Base Area of Triangular Prism given Side and Altitude formula is defined as the total amount of two-dimensional space occupied by the base face of the Triangular Prism and calculated using the side and altitude on side A of base of the Triangular Prism. Base Area of Triangular Prism is denoted by A_Base symbol.

How to calculate Base Area of Triangular Prism given Side and Altitude using this online calculator? To use this online calculator for Base Area of Triangular Prism given Side and Altitude, enter Side A of Base of Triangular Prism (S_a) & Altitude on Side A of Base of Triangular Prism (h'_a) and hit the calculate button. Here is how the Base Area of Triangular Prism given Side and Altitude calculation can be explained with given input values -> 65 = 1/2*10*13.

FAQ

What is Base Area of Triangular Prism given Side and Altitude?

Base Area of Triangular Prism given Side and Altitude formula is defined as the total amount of two-dimensional space occupied by the base face of the Triangular Prism and calculated using the side and altitude on side A of base of the Triangular Prism and is represented as A_Base = 1/2*S_a*h'_a or Base Area of Triangular Prism = 1/2*Side A of Base of Triangular Prism*Altitude on Side A 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 Altitude on Side A of Base of Triangular Prism is the perpendicular distance from the vertex A to the opposite side A of the base of the Triangular Prism.

How to calculate Base Area of Triangular Prism given Side and Altitude?

Base Area of Triangular Prism given Side and Altitude formula is defined as the total amount of two-dimensional space occupied by the base face of the Triangular Prism and calculated using the side and altitude on side A of base of the Triangular Prism is calculated using Base Area of Triangular Prism = 1/2*Side A of Base of Triangular Prism*Altitude on Side A of Base of Triangular Prism. To calculate Base Area of Triangular Prism given Side and Altitude, you need Side A of Base of Triangular Prism (S_a) & Altitude on Side A of Base of Triangular Prism (h'_a). With our tool, you need to enter the respective value for Side A of Base of Triangular Prism & Altitude on 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 Base Area of Triangular Prism?

In this formula, Base Area of Triangular Prism uses Side A of Base of Triangular Prism & Altitude on Side A 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 = 1/4*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))

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