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Answer:
The volume of the figure is 126 cubic cm
Step-by-step explanation:
The figure consists of two rectangular prisms of dimensions 6 x 7 x 1 and 3 x7 x 4 respectively.
Calculate the first volume:
[tex]V_1=6~cm\cdot 7~cm\cdot 1~cm= 42~cm^3[/tex]
[tex]V_1= 42~cm^3[/tex]
Calculate the second volume:
[tex]V_2=3~cm\cdot 7~cm\cdot 4~cm= 84~cm^3[/tex]
[tex]V_2= 84~cm^3[/tex]
The total volume of the figure is the sum of both volumes:
[tex]V_t=V_1+V_2=42~cm^3+84~cm^3=126~cm^3[/tex]
The volume of the figure is 126 cubic cm