Question

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Answer 1

The volume of the figure is 126 cubic cm

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:

`V_1=6~cm\cdot 7~cm\cdot 1~cm= 42~cm^3`

`V_1= 42~cm^3`

Calculate the second volume:

`V_2=3~cm\cdot 7~cm\cdot 4~cm= 84~cm^3`

`V_2= 84~cm^3`

The total volume of the figure is the sum of both volumes:

`V_t=V_1+V_2=42~cm^3+84~cm^3=126~cm^3`

The volume of the figure is 126 cubic cm