Answer:
The volume of the combined solid is [tex]152\ in^{3}[/tex]
Step-by-step explanation:
we know that
The total volume of the combined solid is equal to the volume of Todd's cube plus the volume of Kara's cube
The volume of the cube is equal to
[tex]V=b^{3}[/tex]
where
b is the length side of the cube
step 1
Find the volume of Todd's cube
we have
[tex]b=5\ in[/tex]
substitute the value
[tex]V=5^{3}=125\ in^{3}[/tex]
step 2
Find the volume of Kara's cube
we have
[tex]b=3\ in[/tex]
substitute the value
[tex]V=3^{3}=27\ in^{3}[/tex]
step 3
Find the volume of the combined solid
[tex]125\ in^{3}+27\ in^{3}=152\ in^{3}[/tex]
