## Task 2 - 280612

A large cuboid was divided into small, equally sized cubes. As can be seen in the illustration, some of the small cubes were then removed. However, none of the small cubes that are not visible in the illustration were removed.

How many of the small cubes does the remaining body shown in the illustration contain in total?

Describe how you found the sought number!

![](https://cdn.mathpix.com/cropped/2024_06_06_b85a894aa8dbf722a7b3g-0263.jpg?height=408&width=374&top_left_y=1292&top_left_x=1366)
The sought number of small cubes is 135; it can be found through the following consideration:

The large cuboid originally consisted of exactly 150 small cubes because of $6 \cdot 5 \cdot 5=150$. From it, exactly 15 small cubes were removed, namely

exactly 8 from the frontmost layer,

exactly 6 from the second layer from the front,

exactly 1 from the fourth layer from the front.

Because 150 - $15=135$, the remaining body thus contains exactly 135 small cubes.