Find the Volume of the Figure

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:

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1. What is Volume Calculation?

Definition: Volume is the amount of space occupied by a three-dimensional object.

Purpose: Calculating volume is essential in construction, manufacturing, shipping, and many scientific applications.

2. How Does the Calculator Work?

The calculator uses different formulas based on the selected shape:

\[ \text{Rectangular: } V = L \times W \times H \] \[ \text{Cylindrical: } V = \pi \times r^2 \times h \] \[ \text{Spherical: } V = \frac{4}{3} \times \pi \times r^3 \]

Where:

\( V \) — Volume (cubic units)
\( L \) — Length (units)
\( W \) — Width (units)
\( H \) — Height (units)
\( r \) — Radius (units)
\( h \) — Height (units)
\( \pi \) — Pi (approximately 3.1416)

3. Importance of Volume Calculation

Details: Accurate volume calculations ensure proper material estimation, space planning, and cost control in projects.

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 any consistent unit (inches, feet, meters, etc.), but all inputs must be in the same unit.

Q2: How precise are the calculations?
A: Results are accurate to 3 decimal places. For π we use PHP's built-in pi() function.

Q3: Can I calculate volume for irregular shapes?
A: This calculator is for regular geometric shapes only. Irregular shapes require different methods.

Q4: Why isn't my calculation working?
A: Ensure all required fields are filled with positive numbers and you've selected the correct shape.

Q5: How do I convert between different volume units?
A: Use our Volume Unit Converter tool for conversions between cubic units.