Math Formula for Volume

Volume Formulas:

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

Select Shape:

Length:

units

Width:

units

Height:

units

Volume:

Unit Converter ▲

Unit Converter ▼

From:	To:

1. What is Volume Calculation?

Definition: Volume is the quantity of three-dimensional space enclosed by a closed surface.

Purpose: Calculating volume is essential in mathematics, engineering, construction, and many scientific fields.

2. How Does Volume Calculation Work?

Different shapes have different volume formulas:

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

Where:

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

3. Importance of Volume Calculation

Details: Volume calculations are fundamental in determining capacity, material requirements, fluid dynamics, and many practical applications.

4. Using the Calculator

Tips: Select the shape, enter the required dimensions, and click Calculate. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What units should I use?
A: Use consistent units (all in meters, feet, etc.). 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 get zero or negative results?
A: The calculator requires positive values for all dimensions. Check your inputs.

Q5: Can I calculate volume in gallons or liters?
A: First calculate in cubic units, then convert using appropriate conversion factors.