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Height of Right Wedge given Lateral Surface Area Calculator

Formula Used:

\[ Height\ of\ Right\ Wedge = \frac{Lateral\ Surface\ Area\ of\ Right\ Wedge - (2 \times Base\ Length\ of\ Right\ Wedge \times Edge\ Length\ of\ Right\ Wedge)}{Base\ Width\ of\ Right\ Wedge} \]

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

The Height of Right Wedge given Lateral 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 lateral surface area and other dimensions of the wedge.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ Height\ of\ Right\ Wedge = \frac{Lateral\ Surface\ Area\ of\ Right\ Wedge - (2 \times Base\ Length\ of\ Right\ Wedge \times Edge\ Length\ of\ Right\ Wedge)}{Base\ Width\ of\ Right\ Wedge} \]

Where:

Explanation: This formula calculates the height of a right wedge by subtracting twice the product of base length and edge length from the lateral surface area, then dividing by the base width.

3. Importance of Height Calculation

Details: Calculating the height of a right wedge is essential for determining the complete dimensional properties of the wedge, which is important in various engineering, architectural, and geometric applications.

4. Using the Calculator

Tips: Enter all dimensions in meters. All values must be positive numbers. The lateral surface area should be greater than twice the product of base length and edge length for a valid result.

5. Frequently Asked Questions (FAQ)

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

Q2: Why is this calculation important?
A: This calculation helps determine the vertical dimension of a wedge when the lateral surface area and other dimensions are known, which is useful in various practical applications.

Q3: What units should be used?
A: All measurements should be in consistent units (preferably meters for SI units), and the result will be in the same unit of length.

Q4: Are there any limitations to this formula?
A: The formula assumes a perfect right wedge geometry and may not be accurate for irregular or deformed wedges.

Q5: Can this calculator handle decimal inputs?
A: Yes, the calculator accepts decimal inputs with up to 4 decimal places for precise calculations.

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