What is the volume of the composite figure?

cubic inches

1. To solve this exercise you must apply the formula for calculate the volume of a rectangular prism and the formula for calculate the volume of a rectangular pyramid:

 2. Volume the rectangular prism:

 V1=LxWxH

 V1=(7 in)(3 in)(4 in)
 V1=84 in³

 3. Volume of the rectangular pyramid:

 V2=BxH/3

 B=(7 in)(3 in)=21 in

 H=12 in-4 in=8 in

 V2=(21 in)(8 in)/3
 V2=56 in³

4. The volume of the composite figure is

 V=V1+V2
 V=140 in³