Answer :

The volume of the given figure is 5760 [tex]cm^{3}[/tex].

According to the question,

We have the following information:

We have a figure where two cuboids are joined together. So, the volume of the figure will be the sum of the volume of these cuboids.

We know that the following formula is used to find the value of cuboid:

Volume of cuboid = Length*breadth*height

Volume of larger cuboid = 40*8*12

Volume of larger cuboid = 3840 [tex]cm^{3}[/tex]

Volume of smaller cuboid = 20*8*12

Volume of smaller cuboid = 1920 [tex]cm^{3}[/tex]

Volume of the figure = 3840+1920

Volume of the figure =  5760 [tex]cm^{3}[/tex]

Hence, the correct option is B (the second option).

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