Height of Triangular Prism given Lateral Surface Area Calculator

✖The Lateral Surface Area of Triangular Prism is the quantity of plane enclosed by all the lateral surfaces (that is, top and bottom faces are excluded) of the Triangular Prism.ⓘ Lateral Surface Area of Triangular Prism [LSA]			+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 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 given Lateral Surface Area [h]

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Height of Triangular Prism given Lateral Surface Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

Height of Triangular Prism = 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)
h = LSA/(S_a+S_b+S_c)
This formula uses 5 Variables

Variables Used

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.
Lateral Surface Area of Triangular Prism - (Measured in Square Meter) - The Lateral Surface Area of Triangular Prism is the quantity of plane enclosed by all the lateral surfaces (that is, top and bottom faces are excluded) 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

Lateral Surface Area of Triangular Prism: 1100 Square Meter --> 1100 Square 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

h = LSA/(S_a+S_b+S_c) --> 1100/(10+14+20)

Evaluating ... ...

h = 25

STEP 3: Convert Result to Output's Unit

25 Meter --> No Conversion Required

FINAL ANSWER

25 Meter <-- Height of Triangular Prism

(Calculation completed in 00.004 seconds)

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< Height of Triangular Prism Calculators

Height of Triangular Prism given Lateral Surface Area

LaTeX Go Height of Triangular Prism = 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 given Volume

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

Height of Triangular Prism given Lateral Surface Area Formula

LaTeX Go

Height of Triangular Prism = 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)
h = LSA/(S_a+S_b+S_c)

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 Height of Triangular Prism given Lateral Surface Area?

Height of Triangular Prism given Lateral Surface Area calculator uses Height of Triangular Prism = 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) to calculate the Height of Triangular Prism, The Height of Triangular Prism given Lateral Surface Area formula is defined as the length of the straight line connecting any base vertex to the corresponding top vertex of the Triangular Prism, and calculated using the lateral surface area of Triangular Prism. Height of Triangular Prism is denoted by h symbol.

How to calculate Height of Triangular Prism given Lateral Surface Area using this online calculator? To use this online calculator for Height of Triangular Prism given Lateral Surface Area, enter Lateral Surface Area of Triangular Prism (LSA), 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 Height of Triangular Prism given Lateral Surface Area calculation can be explained with given input values -> 25 = 1100/(10+14+20).

FAQ

What is Height of Triangular Prism given Lateral Surface Area?

The Height of Triangular Prism given Lateral Surface Area formula is defined as the length of the straight line connecting any base vertex to the corresponding top vertex of the Triangular Prism, and calculated using the lateral surface area of Triangular Prism and is represented as h = LSA/(S_a+S_b+S_c) or Height of Triangular Prism = 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). The Lateral Surface Area of Triangular Prism is the quantity of plane enclosed by all the lateral surfaces (that is, top and bottom faces are excluded) 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 Height of Triangular Prism given Lateral Surface Area?

The Height of Triangular Prism given Lateral Surface Area formula is defined as the length of the straight line connecting any base vertex to the corresponding top vertex of the Triangular Prism, and calculated using the lateral surface area of Triangular Prism is calculated using Height of Triangular Prism = 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). To calculate Height of Triangular Prism given Lateral Surface Area, you need Lateral Surface Area of Triangular Prism (LSA), 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 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 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 Height of Triangular Prism?

In this formula, Height of Triangular Prism uses 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. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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