Volume Of Cut Cuboid Given Residual Height Calculator

Formula Used:

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

Length of Cut Cuboid:

Height of Cut Cuboid:

Width of Cut Cuboid:

Missing Length of Cut Cuboid:

Residual 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 a cuboid that has been partially cut or removed.

2. How Does the Calculator Work?

The calculator uses the formula:

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

Where:

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

Explanation: The formula calculates the total volume by subtracting the volume of the removed portion from the original cuboid volume.

3. Importance of Volume Calculation

Details: Accurate volume calculation is crucial for material estimation, structural design, and space optimization in construction and manufacturing applications.

4. Using the Calculator

Tips: Enter all dimensions in meters. Ensure all values are positive and valid. The missing dimensions should be less than or equal to the corresponding original dimensions.

5. Frequently Asked Questions (FAQ)

Q1: What is a Cut Cuboid?
A: A Cut Cuboid is a three-dimensional shape formed by cutting a portion from a regular cuboid, resulting in a shape with some missing parts.

Q2: When is this calculation useful?
A: This calculation is useful in construction, architecture, manufacturing, and any field where you need to calculate the volume of irregular cuboid-shaped objects.

Q3: What units should I use?
A: All measurements should be in consistent units (meters recommended). The result will be in cubic units of the input measurements.

Q4: Can I use this for other shapes?
A: This formula is specifically designed for cut cuboids. Other shapes require different volume calculation methods.

Q5: What if my cut cuboid has multiple cuts?
A: This calculator handles a single cut. For multiple cuts, you would need to calculate each removed portion separately and subtract them from the original volume.