Answer:
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
[tex]V=Bh[/tex]
where
B is the area of the base
h is the height of the figure
we have
[tex]h=1\ units[/tex]
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)
[tex]B=3^2-2^2=5\ units^2[/tex]
so the volume of the L-shaped figure is equal to
[tex]V=(5)(1)=5\ units^3[/tex]
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
[tex]V=2(5)+2(1)=12\ units^3[/tex]
