Question

what is the volume of the following figure? cubic units front view back view

Explanation:

Step1: Count unit - cubes

Count the number of unit - cubes in the figure. We can see that the figure is made up of unit - cubes. By counting layer by layer, we find that there are 3 layers.

Step2: Calculate number of cubes per layer

The bottom layer has 5 rows and 4 columns of cubes, so it has \(5\times4 = 20\) cubes. The middle layer has 5 rows and 4 columns of cubes (excluding some missing parts), but when we consider the whole structure, it also has 20 cubes. The top layer has 5 rows and 4 columns of cubes (excluding some missing parts), and it has 16 cubes.

Step3: Sum up the cubes

The total number of unit - cubes is \(20 + 20+16=56\). Since the volume of each unit - cube is 1 cubic unit, the volume of the figure is equal to the number of unit - cubes.

Answer:

56