Answer:
The correct option is 3.
Step-by-step explanation:
James made the body of a robot out of two cubes.
The side length of larger cube is 10 in. The sum of side length of both cubes is 16 in. So, the side length of smaller cube is
[tex]16-10=6[/tex]
The side length of smaller cube is 6 in.
The volume of cube is
[tex]V=a^3[/tex]
Where, a is side length.
The volume of smaller cube is
[tex]V_1=6^3=216[/tex]
The volume of larger cube is
[tex]V_2=(10)^3=1000[/tex]
The volume of body of a robot is
[tex]V=V_1+V_2=1000+216=1216[/tex]
The volume of body of a robot is 1216 in³. Therefore the correct option is 3.
