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Total Surface Area of Square Pillar Formula:
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The Total Surface Area of a Square Pillar is the total amount of two-dimensional space occupied by all the faces of the Square Pillar. It includes the area of all four lateral faces plus the top and bottom square faces.
The calculator uses the formula:
Where:
Explanation: The formula calculates the total surface area by considering the area of the base square, the lateral surface area derived from the volume, and doubling it to account for both top and bottom surfaces.
Details: Calculating the total surface area is crucial for various applications including material estimation for construction, painting requirements, heat transfer calculations, and structural analysis of square pillars.
Tips: Enter the base edge length in meters and volume in cubic meters. Both values must be positive numbers. The calculator will compute the total surface area in square meters.
Q1: What is a square pillar?
A: A square pillar is a three-dimensional geometric shape with a square base and top, and four rectangular lateral faces perpendicular to the base.
Q2: How is this formula derived?
A: The formula is derived by expressing the height in terms of volume and base area, then calculating the lateral surface area and adding the areas of both square bases.
Q3: What are the units for measurement?
A: Base edges are measured in meters (m), volume in cubic meters (m³), and total surface area in square meters (m²).
Q4: Can this calculator be used for rectangular pillars?
A: No, this calculator is specifically designed for square pillars where all base edges are equal. For rectangular pillars, a different formula is required.
Q5: What if I have the height instead of volume?
A: If you have the height, you can calculate volume first (V = BEdges² × height) or use the alternative formula: TSA = 2 × BEdges² + 4 × BEdges × height.