Dimension to Volume Calculator

Volume Formulas:

\[ V = L \times W \times H \] (rectangular)
\[ V = \pi \times r^2 \times h \] (cylindrical)

Shape:

Length:

units

Width:

units

Height:

units

Volume:

cubic units

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1. What is a Dimension to Volume Calculator?

Definition: This calculator computes the volume of three-dimensional shapes from their linear dimensions.

Purpose: It helps in various fields including construction, manufacturing, and science to determine the space occupied by objects.

2. How Does the Calculator Work?

The calculator uses different formulas based on shape:

\[ V = L \times W \times H \] (rectangular)
\[ V = \pi \times r^2 \times h \] (cylindrical)

Where:

\( V \) — Volume (cubic units)
\( L \) — Length (rectangular)
\( W \) — Width (rectangular)
\( H \) — Height (rectangular)
\( r \) — Radius (cylindrical)
\( h \) — Height (cylindrical)

Explanation: For rectangular shapes, multiply all three dimensions. For cylinders, multiply the base area (πr²) by height.

3. Importance of Volume Calculation

Details: Accurate volume calculations are essential for material estimation, container capacity, and space planning.

4. Using the Calculator

Tips: Select the shape, then enter the required dimensions in any consistent units. The calculator will output volume in cubic units.

5. Frequently Asked Questions (FAQ)

Q1: What units should I use?
A: Use any consistent units (inches, feet, cm, meters). The result will be in cubic units of your input.

Q2: Can I calculate volume for other shapes?
A: This calculator handles rectangular and cylindrical shapes. Other shapes require different formulas.

Q3: How precise are the calculations?
A: Results are precise to 3 decimal places. For π, we use PHP's built-in pi() function.

Q4: What if I have diameter instead of radius?
A: For cylindrical calculations, divide the diameter by 2 to get radius.

Q5: Can I use negative values?
A: No, all dimensions must be positive numbers.