To find the volume of the composite figure, we need to break it down into simpler shapes and then add their volumes together.
The figure can be broken down into two rectangular prisms and a cube.
First rectangular prism:
Length = 14cm, Width = 6cm, Height = 6cm
Volume = Length x Width x Height = 14cm x 6cm x 6cm = 504cm^3
Second rectangular prism:
Length = 5cm, Width = 6cm, Height = 6cm
Volume = Length x Width x Height = 5cm x 6cm x 6cm = 180cm^3
Cube:
Side length = 4cm
Volume = Side^3 = 4cm x 4cm x 4cm = 64cm^3
Total volume = Volume of first prism + Volume of second prism + Volume of cube
Total volume = 504cm^3 + 180cm^3 + 64cm^3
Total volume = 748cm^3
Therefore, the correct answer is not listed.