5cm

5cm
12cm
5cm
5cm
5cm
10cm
Solve for the volume of the composite

To find the volume of the composite shape, we need to add up the volumes of each individual shape.

First, calculate the volume of the rectangular prism:
Volume = length x width x height
Volume = 5cm x 5cm x 12cm
Volume = 300 cm^3

Next, calculate the volume of the cube:
Volume = side x side x side
Volume = 5cm x 5cm x 5cm
Volume = 125 cm^3

Finally, calculate the volume of the composite shape by adding the volumes of the rectangular prism and the cube:
Volume = 300 cm^3 + 125 cm^3
Volume = 425 cm^3

Therefore, the volume of the composite shape is 425 cm^3.