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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