The sculpture ‘Cubo Vazado’ [Emptied Cube] by the Brazilian artist Franz Weissmann is formed by removing cubical blocks from a solid cube to leave the symmetrical shape shown.
If all the edges have length 1, 2 or 3, what is the volume of the sculpture?

The volume of the sculpture is 12 cubic units

Step-by-step explanation:

The picture of the question in the attached figure

step 1

Find the volume of the L-shaped figure

The volume is given by

where

B is the area of the base

h is the height of the figure

we have

The area of the base B is equal to the area of the complete square (3 units by 3 units)  minus the area of the interior square (2 units by 2 units)

so the volume of the L-shaped figure is equal to

step 2

Find the volume of the sculpture

we know that

The volume of the sculpture is equal to the volume of the L-shaped figure, multiplied by two plus the volume of two unit cubes

so

1. d.90

2. e. none of these (80)

3. a. 0

4. b. 6

5. e. none of these (10)

6. a. 5