Find Volume of 3D Shapes

Volume Formulas:

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

Select Shape:

Length:

units

Width:

units

Height:

units

Volume:

cubic units

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1. What is Volume of 3D Shapes?

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

Purpose: Calculating volume is essential in construction, manufacturing, shipping, and many other fields where space measurement is important.

2. How Does the Calculator Work?

The calculator uses different formulas based on the selected shape:

For rectangular prism: \[ V = L \times W \times H \]
For cylinder: \[ V = \pi \times r^2 \times h \]

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: Accurate volume calculations are crucial for material estimation, container filling, structural design, and space planning.

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

Q2: Can I calculate volume for other shapes?
A: This calculator currently supports rectangular prisms and cylinders. More shapes may be added in future updates.

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

Q4: What if I get a zero result?
A: Check that all input values are positive numbers and you've selected the correct shape.

Q5: Can I calculate in different units?
A: The calculator doesn't convert units. Convert all measurements to the same unit before calculating.