what is the volume of the composite figure?
2cm
3cm
2cm
8cm
3cm
4cm
4cm
To find the volume of a composite figure, we need to break it down into simpler shapes and then calculate the volume of each shape.
The composite figure can be broken down into two rectangular prisms. The first rectangular prism has dimensions 2cm x 3cm x 2cm and the second rectangular prism has dimensions 8cm x 3cm x 4cm.
The volume of the first rectangular prism is:
Volume = length x width x height
Volume = 2cm x 3cm x 2cm
Volume = 12 cm³
The volume of the second rectangular prism is:
Volume = length x width x height
Volume = 8cm x 3cm x 4cm
Volume = 96 cm³
Finally, we add the volumes of the two rectangular prisms to find the total volume:
Total volume = 12 cm³ + 96 cm³
Total volume = 108 cm³
Therefore, the volume of the composite figure is 108 cm³.