Height of Right Wedge given Total Surface Area Calculator

Formula Used:

\[ h = \frac{TSA - (l_{Base} \times w_{Base}) - (2 \times l_{Base} \times l_{e})}{w_{Base}} \]

Total Surface Area of Right Wedge (TSA):

m²

Base Length of Right Wedge (lBase):

Base Width of Right Wedge (wBase):

Edge Length of Right Wedge (le):

Height of Right Wedge (h):

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1. What is Height of Right Wedge given Total Surface Area?

The Height of Right Wedge given Total Surface Area is the vertical distance from the bottom rectangular face of Right Wedge to the edge where the lateral rectangular faces join, calculated using the total surface area and other dimensions.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ h = \frac{TSA - (l_{Base} \times w_{Base}) - (2 \times l_{Base} \times l_{e})}{w_{Base}} \]

Where:

\( h \) — Height of Right Wedge (m)
\( TSA \) — Total Surface Area of Right Wedge (m²)
\( l_{Base} \) — Base Length of Right Wedge (m)
\( w_{Base} \) — Base Width of Right Wedge (m)
\( l_{e} \) — Edge Length of Right Wedge (m)

Explanation: The formula calculates the height by subtracting the base area and lateral areas from the total surface area, then dividing by the base width.

3. Importance of Height Calculation

Details: Calculating the height of a right wedge is important in geometry and engineering applications where precise dimensional measurements are required for construction and design purposes.

4. Using the Calculator

Tips: Enter all dimensions in meters. Ensure all values are positive and valid for accurate calculation.

5. Frequently Asked Questions (FAQ)

Q1: What is a Right Wedge?
A: A Right Wedge is a geometric solid with a rectangular base and two triangular faces meeting at an edge.

Q2: Why is this formula used?
A: This formula provides a direct method to calculate the height when total surface area and other dimensions are known.

Q3: What units should be used?
A: All measurements should be in consistent units, typically meters for length and square meters for area.

Q4: Are there limitations to this formula?
A: The formula assumes standard geometric properties of a right wedge and may not apply to irregular shapes.

Q5: Can this calculator be used for educational purposes?
A: Yes, this calculator is useful for students and educators learning about geometric calculations and 3D shapes.