Question

what is the volume of the figure? explain or show your reasoning.

Explanation:

Step1: Count unit - cubes

Count the number of unit - cubes in the figure. The base layer has 8 unit - cubes and the vertical stack has 4 unit - cubes.

Step2: Calculate total number of unit - cubes

Add the number of unit - cubes in the base layer and the vertical stack. $8 + 4=12$.

Step3: Assume unit - cube volume

Assume the volume of each unit - cube is 1 cubic unit.

Step4: Find figure volume

The volume of the figure is equal to the total number of unit - cubes times the volume of one unit - cube. So the volume is $12\times1 = 12$ cubic units.

Answer:

12 cubic units