The Volume of a Rectangular Prism using Unit Cubes

Calculating volume with unit cubes means finding how many small cubes are needed to completely fill a 3D shape without any gaps or overlaps. Each unit cube has a side length of 1 unit, so one unit cube equals 1 cubic unit.

To find the volume:

• Count how many cubes fit in one layer.
• Count how many layers there are.
• Multiply the length × width × height.

The formula for volume is:

V = l \times w \times h

You can also use:

V = B \times H

Where:

• B = area of the base
• H = height

Example:

If a rectangular prism has:

• Length = 4 units
• Width = 2 units
• Height = 3 units

Then:

4 × 2 × 3 = 24 cubic units.

So, the volume is 24 cubic units because 24 unit cubes are needed to fill the prism completely.