Volume of a Solid Figure Worksheet

Volume Formulas:

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

Select Shape:

Length:

units

Width:

units

Height:

units

Radius:

units

Volume:

Unit Converter ▲

Unit Converter ▼

From:	To:

1. What is Volume of a Solid Figure?

Definition: Volume is the amount of space occupied by a three-dimensional object, measured in cubic units.

Purpose: Understanding volume helps in various real-world applications like packaging, construction, and fluid capacity.

2. How Does the Calculator Work?

The calculator uses different formulas based on shape:

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

Explanation: Each formula calculates the space occupied by the specific shape using its dimensional properties.

3. Importance of Volume Calculation

Details: Volume calculations are essential in engineering, architecture, manufacturing, and everyday tasks like cooking or packing.

4. Using the Calculator

Tips: Select the shape, then enter the required dimensions. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

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

Q2: How accurate is the calculation?
A: The calculation is mathematically precise for perfect geometric shapes.

Q3: Can I calculate volume for irregular shapes?
A: This calculator is for regular shapes. Irregular shapes require different methods like displacement.

Q4: Why does the input form change?
A: Different shapes require different dimensions (radius for spheres, length/width/height for prisms).

Q5: How do I convert between volume units?
A: Use our Unit Converter tool for converting between cubic meters, liters, gallons, etc.