Even Base Area Of Skewed Three Edged Prism Given Longer And Shorter Base Edge Calculator

Formula Used:

\[ A_{Base(Even)} = \sqrt{\left(\frac{P_{Base(Even)}}{2}\right) \times \left(\frac{P_{Base(Even)}}{2} - l_{e(Long\ Base)}\right) \times \left(\frac{P_{Base(Even)}}{2} - (P_{Base(Even)} - l_{e(Long\ Base)} - l_{e(Short\ Base)})\right) \times \left(\frac{P_{Base(Even)}}{2} - l_{e(Short\ Base)}\right)} \]

Even Base Perimeter of Skewed Three Edged Prism (P_Base(Even)):

Longer Base Edge of Skewed Three Edged Prism (l_{e(Long Base)}):

Shorter Base Edge of Skewed Three Edged Prism (l_{e(Short Base)}):

Even Base Area of Skewed Three Edged Prism (A_Base(Even)):

Unit Converter ▲

Unit Converter ▼

From:	To:

1. What is the Even Base Area of Skewed Three Edged Prism?

The Even Base Area of Skewed Three Edged Prism is the total quantity of two dimensional space enclosed on the triangular face on the bottom of the Skewed Three Edged Prism. It represents the area of the base triangle of this geometric shape.

2. How Does the Calculator Work?

The calculator uses Heron's formula adapted for the triangular base:

Where:

\( A_{Base(Even)} \) — Even Base Area (m²)
\( P_{Base(Even)} \) — Even Base Perimeter (m)
\( l_{e(Long\ Base)} \) — Longer Base Edge (m)
\( l_{e(Short\ Base)} \) — Shorter Base Edge (m)

Explanation: This formula calculates the area of a triangle using Heron's formula, where the semi-perimeter is half of the base perimeter, and the three sides are the longer base edge, shorter base edge, and the calculated third side.

3. Importance of Even Base Area Calculation

Details: Calculating the base area is crucial for determining the volume of the prism, surface area calculations, and understanding the geometric properties of skewed three-edged prisms in architectural and engineering applications.

4. Using the Calculator

Tips: Enter the even base perimeter in meters, longer base edge in meters, and shorter base edge in meters. All values must be positive numbers that satisfy triangle inequality conditions.

5. Frequently Asked Questions (FAQ)

Q1: What is a Skewed Three Edged Prism?
A: A skewed three edged prism is a polyhedron with two parallel triangular bases and three parallelogram lateral faces that are not perpendicular to the bases.

Q2: Why is it called "Even Base"?
A: The term "Even Base" refers to the regular triangular base of the prism, as opposed to any skewed or irregular faces the prism might have.

Q3: What are the constraints for valid input values?
A: The three edges must satisfy the triangle inequality: the sum of any two sides must be greater than the third side, and all values must be positive.

Q4: Can this formula be used for any triangle?
A: Yes, this is essentially Heron's formula and can calculate the area of any triangle when you know all three side lengths.

Q5: What units should I use for the calculations?
A: The calculator uses meters for all measurements, but you can use any consistent unit system as long as all inputs are in the same units.