The volume of the figure is equal to 126 cubic centimeters.
The volume of the figure which comprise of two rectangular prism, can be derived by adding the volume of the two prism after calculating each of their volumes using the formula for cuboid as follows:
Volume of cuboid = length × width × height
Volume of the first rectangular prism = 6 cm × 7 cm × 1 cm
Volume of the first rectangular prism = 42 cm³
Volume of the second rectangular prism = 3 cm × 7 cm × 4 cm
Volume of the second rectangular prism = 84 cm³
Volume of the composite figure = 42 cm³ + 84 cm³
Volume of the composite figure = 126 cm³
Therefore, the volume of the figure is equal to 126 cubic centimetersmeters.