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Volume Formula:
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The volume of a cuboid can be calculated when the total surface area, width, and length are known. This calculation is useful in various geometric and real-world applications where these specific measurements are available.
The calculator uses the derived formula:
Where:
Explanation: The formula first calculates the height using the surface area, length, and width, then multiplies all three dimensions to find the volume.
Details: Calculating volume from surface area and two dimensions is important in packaging, construction, and manufacturing where complete measurements might not be directly available but surface area is known.
Tips: Enter total surface area, length, and width in consistent units. All values must be positive numbers. The calculator will compute the volume in cubic units.
Q1: Can this formula be used for any cuboid?
A: Yes, this formula works for any rectangular cuboid where the total surface area and two dimensions (length and width) are known.
Q2: What if the calculated height becomes negative?
A: A negative height indicates inconsistent input values where the surface area is insufficient for the given length and width dimensions.
Q3: How accurate is this calculation?
A: The calculation is mathematically precise based on the input values, assuming a perfect cuboid shape.
Q4: Can this be used for other 3D shapes?
A: No, this specific formula is derived for cuboids only. Other shapes have different relationships between surface area and volume.
Q5: What are practical applications of this calculation?
A: Useful in packaging design, storage optimization, material estimation, and architectural planning where surface area constraints exist.