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Volume of a Figure Calculator

Volume Formulas:

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

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1. What is a Volume Calculator?

Definition: This calculator computes the volume of various geometric figures based on their dimensions.

Purpose: It helps students, engineers, and professionals determine the capacity or space occupied by different shapes.

2. How Does the Calculator Work?

The calculator uses different formulas depending on the selected shape:

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

Where:

3. Importance of Volume Calculation

Details: Volume calculations are essential in construction, manufacturing, shipping, and many scientific applications to determine capacity, material requirements, and space utilization.

4. Using the Calculator

Steps:

  1. Select the shape from the dropdown
  2. Enter the required dimensions
  3. Click "Calculate" to get the volume

5. Frequently Asked Questions (FAQ)

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

Q2: Can I calculate volume for other shapes?
A: Currently this calculator 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 with ~14 decimal precision.

Q4: Why does my calculation show nothing?
A: Make sure all dimension values are positive numbers greater than zero.

Q5: Can I calculate volume in gallons or liters?
A: First calculate in cubic units, then convert using appropriate conversion factors (1 cubic foot ≈ 7.48 gallons).

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