1. What is a Volume of a Rectangular Prism Calculator?

Definition: This calculator computes the volume of a rectangular prism based on its length (\( l \)), width (\( w \)), and height (\( h \)).

Purpose: Useful in geometry, engineering, and everyday applications for determining the volume of rectangular prism-shaped objects (e.g., boxes, rooms).

2. How Does the Calculator Work?

The calculation is based on the following formula:

Unit Conversions:

• Input (Length): mm (×0.1), cm (×1), m (×100), in (×2.54), ft (×30.48) to cm
• Volume (from cm³): m³ (×0.000001), in³ (×0.0610237), ft³ (×0.0000353147), liters (×0.001)

Explanation: All dimensions are converted to cm, the volume is calculated in cm³, and then converted to m³, in³, ft³, and liters.

3. Importance of Rectangular Prism Volume Calculation

Details: Calculating the volume of a rectangular prism is essential in packaging, construction, and storage for determining capacity and dimensions of rectangular objects.

4. Using the Calculator

Tips: Enter the length \( l \), width \( w \), and height \( h \) in mm, cm, m, in, or ft (all must be >0). The result shows the volume in cm³, m³, in³, ft³, and liters.

5. Example

Given: Length \( l = 10 \, \text{cm} \), width \( w = 5 \, \text{cm} \), height \( h = 3 \, \text{cm} \).
Volume Calculation: \( V = 10 \times 5 \times 3 = 150 \, \text{cm}^3 \).
Conversions:
- \( \text{cm}^3 = 150 \),
- \( \text{m}^3 = 0.00015 \),
- \( \text{in}^3 \approx 9.154 \),
- \( \text{ft}^3 \approx 0.0053 \),
- \( \text{liters} = 0.15 \).

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