Base Area of Hexagonal Prism Calculator

✖The Base Edge Length of Hexagonal Prism is the length of the straight line connecting any two adjacent vertices of the base of the Hexagonal Prism.ⓘ Base Edge Length of Hexagonal Prism [l_e(Base)]

+10%

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

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Formula

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Base Area of Hexagonal Prism

Formula

`"A"_{"Base"} = (3*sqrt(3))/2*"l"_{"e(Base)"}^2`

Example

`"259.8076m²"=(3*sqrt(3))/2*("10m")^2`

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Base Area of Hexagonal Prism Solution

STEP 0: Pre-Calculation Summary

Formula Used

Base Area of Hexagonal Prism = (3*sqrt(3))/2*Base Edge Length of Hexagonal Prism^2
A_Base = (3*sqrt(3))/2*l_e(Base)^2
This formula uses 1 Functions, 2 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 Hexagonal Prism - (Measured in Square Meter) - The Base Area of Hexagonal Prism is the total amount of two-dimensional space occupied by the base face of the Hexagonal Prism.
Base Edge Length of Hexagonal Prism - (Measured in Meter) - The Base Edge Length of Hexagonal Prism is the length of the straight line connecting any two adjacent vertices of the base of the Hexagonal Prism.

STEP 1: Convert Input(s) to Base Unit

Base Edge Length of Hexagonal Prism: 10 Meter --> 10 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A_Base = (3*sqrt(3))/2*l_e(Base)^2 --> (3*sqrt(3))/2*10^2

Evaluating ... ...

A_Base = 259.807621135332

STEP 3: Convert Result to Output's Unit

259.807621135332 Square Meter --> No Conversion Required

FINAL ANSWER

259.807621135332 ≈ 259.8076 Square Meter <-- Base Area of Hexagonal Prism

(Calculation completed in 00.004 seconds)

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< 13 Hexagonal Prism Calculators

Total Surface Area of Hexagonal Prism

Go Total Surface Area of Hexagonal Prism = 6*Base Edge Length of Hexagonal Prism*Height of Hexagonal Prism+(3*sqrt(3)*Base Edge Length of Hexagonal Prism^2)

Base Area of Hexagonal Prism given TSA and Height

Go Base Area of Hexagonal Prism = (Total Surface Area of Hexagonal Prism-(Height of Hexagonal Prism*Base Perimeter of Hexagonal Prism))/2

Height of Hexagonal Prism given TSA

Go Height of Hexagonal Prism = (Total Surface Area of Hexagonal Prism-(2*Base Area of Hexagonal Prism))/Base Perimeter of Hexagonal Prism

Total Surface Area of Hexagonal Prism given Base Area and Base Perimeter

Go Total Surface Area of Hexagonal Prism = 2*Base Area of Hexagonal Prism+Height of Hexagonal Prism*Base Perimeter of Hexagonal Prism

Surface to Volume Ratio of Hexagonal Prism

Go Surface to Volume Ratio of Hexagonal Prism = (2/Height of Hexagonal Prism)+(4/(sqrt(3)*Base Edge Length of Hexagonal Prism))

Volume of Hexagonal Prism

Go Volume of Hexagonal Prism = (3*sqrt(3))/2*Base Edge Length of Hexagonal Prism^2*Height of Hexagonal Prism

Base Edge Length of Hexagonal Prism

Go Base Edge Length of Hexagonal Prism = sqrt((2*Base Area of Hexagonal Prism)/(3*sqrt(3)))

Base Area of Hexagonal Prism given LSA and TSA

Go Base Area of Hexagonal Prism = (Total Surface Area of Hexagonal Prism-Lateral Surface Area of Hexagonal Prism)/2

Lateral Surface Area of Hexagonal Prism

Go Lateral Surface Area of Hexagonal Prism = 6*Base Edge Length of Hexagonal Prism*Height of Hexagonal Prism

Volume of Hexagonal Prism given Base Area

Go Volume of Hexagonal Prism = Base Area of Hexagonal Prism*Height of Hexagonal Prism

Base Area of Hexagonal Prism

Go Base Area of Hexagonal Prism = (3*sqrt(3))/2*Base Edge Length of Hexagonal Prism^2

Height of Hexagonal Prism

Go Height of Hexagonal Prism = Volume of Hexagonal Prism/Base Area of Hexagonal Prism

Base Perimeter of Hexagonal Prism

Go Base Perimeter of Hexagonal Prism = 6*Base Edge Length of Hexagonal Prism

Base Area of Hexagonal Prism Formula

Base Area of Hexagonal Prism = (3*sqrt(3))/2*Base Edge Length of Hexagonal Prism^2
A_Base = (3*sqrt(3))/2*l_e(Base)^2

What is Hexagonal Prism?

In geometry, the Hexagonal Prism is a prism with hexagonal base. This polyhedron has 8 faces, 18 edges, and 12 vertices.

What is Prism?

In mathematics, a Prism is a polyhedron with two polygonal bases parallel to each other. In physics (optics), a prism is defined as the transparent optical element with flat polished surfaces that refract light. Lateral faces join the two polygonal bases. The lateral faces are mostly rectangular. In some cases, it may be a parallelogram.

How to Calculate Base Area of Hexagonal Prism?

Base Area of Hexagonal Prism calculator uses Base Area of Hexagonal Prism = (3*sqrt(3))/2*Base Edge Length of Hexagonal Prism^2 to calculate the Base Area of Hexagonal Prism, The Base Area of Hexagonal Prism formula is defined as the total amount of two-dimensional space occupied by the base face of the Hexagonal Prism. Base Area of Hexagonal Prism is denoted by A_Base symbol.

How to calculate Base Area of Hexagonal Prism using this online calculator? To use this online calculator for Base Area of Hexagonal Prism, enter Base Edge Length of Hexagonal Prism (l_e(Base)) and hit the calculate button. Here is how the Base Area of Hexagonal Prism calculation can be explained with given input values -> 259.8076 = (3*sqrt(3))/2*10^2.

FAQ

What is Base Area of Hexagonal Prism?

The Base Area of Hexagonal Prism formula is defined as the total amount of two-dimensional space occupied by the base face of the Hexagonal Prism and is represented as A_Base = (3*sqrt(3))/2*l_e(Base)^2 or Base Area of Hexagonal Prism = (3*sqrt(3))/2*Base Edge Length of Hexagonal Prism^2. The Base Edge Length of Hexagonal Prism is the length of the straight line connecting any two adjacent vertices of the base of the Hexagonal Prism.

How to calculate Base Area of Hexagonal Prism?

The Base Area of Hexagonal Prism formula is defined as the total amount of two-dimensional space occupied by the base face of the Hexagonal Prism is calculated using Base Area of Hexagonal Prism = (3*sqrt(3))/2*Base Edge Length of Hexagonal Prism^2. To calculate Base Area of Hexagonal Prism, you need Base Edge Length of Hexagonal Prism (l_e(Base)). With our tool, you need to enter the respective value for Base Edge Length of Hexagonal 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 Hexagonal Prism?

In this formula, Base Area of Hexagonal Prism uses Base Edge Length of Hexagonal Prism. We can use 2 other way(s) to calculate the same, which is/are as follows -

Base Area of Hexagonal Prism = (Total Surface Area of Hexagonal Prism-Lateral Surface Area of Hexagonal Prism)/2
Base Area of Hexagonal Prism = (Total Surface Area of Hexagonal Prism-(Height of Hexagonal Prism*Base Perimeter of Hexagonal Prism))/2

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