Volume Of Cut Cuboid Given Residual And Missing Length Calculator

Formula Used:

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

Residual Length of Cut Cuboid:

Missing Length of Cut Cuboid:

Height of Cut Cuboid:

Width of Cut Cuboid:

Missing Height of Cut Cuboid:

Missing Width of Cut Cuboid:

Volume of Cut Cuboid:

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1. What is 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 space occupied by the cuboid after a portion has been cut off.

2. How Does the Calculator Work?

The calculator uses the formula:

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

Where:

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

Explanation: The formula calculates the total volume by considering both the remaining cuboid portion and subtracting the volume of the cut-off triangular prism portion.

3. Importance of Volume Calculation

Details: Accurate volume calculation is crucial for determining material requirements, structural analysis, and space optimization in various engineering and architectural applications.

4. Using the Calculator

Tips: Enter all dimensions in meters. Ensure all values are positive numbers. The calculator provides precise volume calculations for cut cuboid shapes.

5. Frequently Asked Questions (FAQ)

Q1: What is a Cut Cuboid?
A: A Cut Cuboid is a cuboid that has had a portion cut off, typically creating a slanted or angled surface.

Q2: Why is the formula divided by 6?
A: The division by 6 accounts for the volume calculation of the triangular prism portion that has been cut off from the original cuboid.

Q3: Can this calculator handle different units?
A: The calculator uses meters as the default unit. For other units, convert all measurements to meters before calculation.

Q4: What if the missing dimensions are zero?
A: If missing dimensions are zero, the formula simplifies to calculating the volume of a complete cuboid.

Q5: How accurate is this calculation?
A: The calculation is mathematically precise based on the input dimensions, providing accurate volume measurements for engineering applications.