Use the image to answer the question.



An illustration shows a cube with a smaller rectangular prism attached to the bottom right side. The sides of the cube are of 5 feet. The prism 1.5 feet long and 2 feet high.

What is the volume of the composite figure?

(1 point)
Responses

155 ft.3
155 ft. cubed

128 ft.3
128 ft. cubed

136.25 ft.3
136.25 ft. cubed

140 ft.3

1 answer

To find the volume of the composite figure, we need to calculate the volumes of both the cube and the rectangular prism separately, then add them together.

Volume of the cube: The formula for the volume of a cube is: Vcube=s3 where s is the length of a side.

For the cube: s=5 feet Vcube=53=125 ft3

Volume of the rectangular prism: The formula for the volume of a rectangular prism is: Vprism=l×w×h where l is the length, w is the width, and h is the height.

For the prism:

  • Length l=1.5 feet
  • Width w=5 feet (same as the side of the cube)
  • Height h=2 feet

Now we can calculate the volume: Vprism=1.5×5×2=15 ft3

Total Volume of the composite figure: Vtotal=Vcube+Vprism=125 ft3+15 ft3=140 ft3

The total volume of the composite figure is 140 ft³.

So the correct response is: 140 ft³