Base Area of Hexagonal Pyramid Calculator

Calculate Base Area



Formula

The formula to calculate the Base Area of a Hexagonal Pyramid given its edge length is:

\[ \text{Base Area} = \frac{3\sqrt{3}}{2} \cdot \text{Edge Length}^2 \]

Definition

The Base Area of a Hexagonal Pyramid is the total amount of two-dimensional space occupied on the base surface of the hexagonal pyramid. The edge length of the base of the hexagonal pyramid is the length of the straight line connecting any two adjacent vertices of the base.

Example Calculation

Let's assume the following value:

Using the formula:

\[ \text{Base Area} = \frac{3\sqrt{3}}{2} \cdot 10^2 \approx 259.8076 \, \text{square meters} \]

The Base Area is approximately 259.8076 square meters.

Conversion Chart

Edge Length (meters) Base Area (square meters)
1 2.598076211353316
2 10.392304845413264
3 23.382685902179844
4 41.569219381653056
5 64.951905283832900
6 93.530743608719376
7 127.305734356312485
8 166.276877526612225
9 210.444173119618597
10 259.807621135331601