composite figure

volume  =  area of base * height

 

First let's work on finding the area of the base. The shape of the base can be broken up into two rectangles, one with length 6 cm and width 4 cm, and the other with length 14 cm and width 12 cm. So the area of the base is the sum of the areas of these two recangles.

 

area of base   =   (6 cm)(4 cm)  +  (14 cm)(12 cm)

 

area of base   =   24 cm²  +  168 cm²

 

area of base   =   192 cm²

 

Now that we know the area of the base, we can find the volume

 

volume   =   area of base * height

 

volume   =   ( 192 cm² )( 2 cm )

 

volume   =   384  cm³