Mathtools · Volume

Pedagogical Volume and Surface Area Calculator

Choose a solid, enter measurements with individual units, and see formulas, substitutions, intermediate calculations, volume units and surface area units.

Learning goal Understand volume as space inside a 3D object and surface area as the area covering it.

Click a shape or use the dropdown to open a 3D model. The measurements written on the figure are the values used in both calculations.

1. Choose a solid

The most common solids are listed first.

Rectangular prism

A box-shaped solid with length, width and height.

Live result
Enter measurements to calculate.

2. Add measurements

Tip: You can write the measurements directly on the figure above. These fields and the fields below stay synchronized.

3. Result

Enter measurements to calculate.

Formula and working

Equivalent volume units

These are approximate conversions. They are useful when students need to compare volume units in everyday contexts.

Equivalent surface area units

These conversions show how the outside area of the solid changes between square units.

Teaching hints