What is the volume of the composite figure?
2in 2in 2in 6in 6in 2in
To find the volume of the composite figure, we need to break it down into simpler geometric shapes and then calculate the volume of each shape.
The composite figure consists of two rectangular prisms and a cube. One rectangular prism has dimensions 2in x 2in x 6in and the other has dimensions 6in x 6in x 2in. The cube has dimensions 2in x 2in x 2in.
Volume of the first rectangular prism:
Vol1 = 2in x 2in x 6in = 24 cubic inches
Volume of the second rectangular prism:
Vol2 = 6in x 6in x 2in = 72 cubic inches
Volume of the cube:
Vol3 = 2in x 2in x 2in = 8 cubic inches
Total volume of the composite figure:
Vol_total = Vol1 + Vol2 + Vol3
Vol_total = 24 + 72 + 8
Vol_total = 104 cubic inches
Therefore, the volume of the composite figure is 104 cubic inches.