Volume of Cut Cuboid given Residual and Missing Edges Calculator

Formula Used:

\[ V = ((l_{Residual} + l_{Missing}) \times (h_{Residual} + h_{Missing}) \times (w_{Residual} + w_{Missing})) - \frac{l_{Missing} \times h_{Missing} \times w_{Missing}}{6} \]

Residual Length of Cut Cuboid:

Missing Length of Cut Cuboid:

Residual Height of Cut Cuboid:

Missing Height of Cut Cuboid:

Residual Width of Cut Cuboid:

Missing Width of Cut Cuboid:

Volume of Cut Cuboid:

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1. What is the Volume of Cut Cuboid?

The Volume of Cut Cuboid is the total quantity of three dimensional space enclosed by the surface of a Cut Cuboid. It represents the actual volume remaining after a portion has been cut off from the original cuboid.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ V = ((l_{Residual} + l_{Missing}) \times (h_{Residual} + h_{Missing}) \times (w_{Residual} + w_{Missing})) - \frac{l_{Missing} \times h_{Missing} \times w_{Missing}}{6} \]

Where:

\( V \) — Volume of Cut Cuboid (m³)
\( l_{Residual} \) — Residual Length of Cut Cuboid (m)
\( l_{Missing} \) — Missing Length of Cut Cuboid (m)
\( h_{Residual} \) — Residual Height of Cut Cuboid (m)
\( h_{Missing} \) — Missing Height of Cut Cuboid (m)
\( w_{Residual} \) — Residual Width of Cut Cuboid (m)
\( w_{Missing} \) — Missing Width of Cut Cuboid (m)

Explanation: The formula calculates the volume by first reconstructing the original cuboid from residual and missing parts, then subtracting the volume of the missing triangular portion divided by 6.

3. Importance of Volume Calculation

Details: Accurate volume calculation of cut cuboids is crucial in various engineering applications, construction projects, material estimation, and geometric analysis where irregular shapes need to be quantified.

4. Using the Calculator

Tips: Enter all residual and missing dimensions in meters. All values must be non-negative numbers. The calculator will compute the volume based on the provided dimensions.

5. Frequently Asked Questions (FAQ)

Q1: What units should I use for the inputs?
A: All dimensions should be entered in meters (m) for consistent volume calculation in cubic meters (m³).

Q2: Can this calculator handle decimal values?
A: Yes, the calculator accepts decimal values with up to 4 decimal places precision for accurate volume calculation.

Q3: What if some missing dimensions are zero?
A: If any missing dimension is zero, the formula simplifies as the cut portion becomes two-dimensional or one-dimensional.

Q4: How accurate is this calculation method?
A: The formula provides mathematically accurate volume calculation for cut cuboids when all dimensions are correctly measured and provided.

Q5: Can this be used for irregular shapes?
A: This specific formula is designed for cuboids with rectangular cuts. For more complex irregular shapes, different calculation methods would be required.