Calculate 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:

cubic units

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1. What is a Volume Calculator?

Definition: This calculator computes the volume of various geometric shapes using their dimensional measurements.

Purpose: It helps students, engineers, and professionals determine the capacity or space occupied by different three-dimensional objects.

2. How Does the Calculator Work?

The calculator uses different formulas based on the selected shape:

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

Where:

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

Explanation: The calculator automatically selects the appropriate formula based on the shape you choose.

3. Importance of Volume Calculation

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

4. Using the Calculator

Tips:

Select the shape you want to calculate
Enter the required dimensions (all values must be positive numbers)
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.), but all measurements for one calculation should be in the same units.

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: Calculations are precise to 3 decimal places. π is approximated to 3.14159265359.

Q4: Why is my cylindrical volume larger than expected?
A: Make sure you entered radius (not diameter) for cylindrical calculations. Diameter should be divided by 2 first.

Q5: Can I calculate volume in gallons or liters?
A: This calculator gives results in cubic units. You would need to convert using appropriate conversion factors for your specific units.