Answer:
175 ft³
60 m³
140 m³
216 in³
Step-by-step explanation:
volume of a rectangular prism = width x length x height
3. Divide the figure into 2 rectangular prisms by drawing a vertical line from the interior vertex.
volume of left rectangular prism: 3 x 7 x 7 = 147
volume of right rectangular prism: 2 x 7 x 2 = 28
total volume = 147 + 28 = 175 ft³
4. Divide the figure into 2 rectangular prisms by drawing a horizontal line separating the chimney from the house.
volume of bottom rectangular prism (house): 3 x 6 x 3 = 54
volume of top rectangular prism (chimney): 1 x 3 x 2 = 6
total volume = 54 + 6 = 60 m³
5. Divide the figure into 2 rectangular prisms by drawing a horizontal line from the interior vertex.
volume of bottom rectangular prism: 6 x 7 x 3 = 126
volume of top rectangular prism: 2 x 7 x 1 = 14
total volume = 126 + 14 = 140 m³
6. Divide the figure into 2 rectangular prisms by drawing a vertical line from the interior vertex.
volume of left rectangular prism: 2 x 4 x 3 = 24
volume of right rectangular prism: 4 x 4 x 12 = 192
total volume = 24 + 192 = 216 in³
