Volume of Solid Figures Calculator

Volume Formulas:

\[ V = L \times W \times H \] (rectangular prism)
\[ V = \pi r^2 h \] (cylinder)
\[ V = \frac{1}{3} \pi r^2 h \] (cone)
\[ V = \frac{4}{3} \pi r^3 \] (sphere)

Select Shape:

Length:

units

Width:

units

Height:

units

Volume:

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1. What is a Volume of Solid Figures Calculator?

Definition: This calculator computes the volume of various three-dimensional geometric shapes.

Purpose: It helps students, engineers, and professionals quickly determine the space occupied by different solid objects.

2. How Does the Calculator Work?

The calculator uses different formulas based on the selected shape:

\[ V = L \times W \times H \] (rectangular prism)
\[ V = \pi r^2 h \] (cylinder)
\[ V = \frac{1}{3} \pi r^2 h \] (cone)
\[ V = \frac{4}{3} \pi r^3 \] (sphere)

Explanation: Each formula accounts for the unique dimensional properties of the shape to calculate its volume.

3. Importance of Volume Calculation

Details: Volume calculations are essential in construction, manufacturing, packaging, and many scientific applications to determine capacity, material requirements, and spatial relationships.

4. Using the Calculator

Tips:

Select the shape you want to calculate
Enter the required dimensions (all must be positive numbers)
The calculator will display the volume in cubic units
Use consistent units for all dimensions

5. Frequently Asked Questions (FAQ)

Q1: What units should I use?
A: You can use any units (inches, feet, meters, etc.) as long as all dimensions use the same unit.

Q2: How accurate is the calculation?
A: The calculation is mathematically precise based on the dimensions you provide.

Q3: Can I calculate volume for irregular shapes?
A: No, this calculator only works for standard geometric shapes with known volume formulas.

Q4: What's the value of π used?
A: We use PHP's built-in M_PI constant (approximately 3.1415926535898).

Q5: How do I calculate volume for a triangular prism?
A: Currently not supported, but you can calculate base area (½×base×height) and multiply by length.