The shape is missing but let's consider it a semi-cylinder attached to the rectangular prism.
Given:
radius = 4.5 mm 
Height = 11 mm 
Volume of cylinder = (1/2)(pi)(4.5)^2(11) (the shape is divided into half)
 V = 349.89 mm cubed
Volume of prism = L x W x H
 = 9 x 11 x 6
 = 594 mm cubed
Total volume of the composite shape = 111.375 + 594 
 = 943.89 mm cubed
Rounded answer = 944 mm cubed.