10. The three-view drawing of a workpiece is shown in Figure 3. The workpiece is to be machined by cutting into a rectangular solid with the largest possible volume, with one face of the new workpiece lying on a face of the original workpiece. The material utilization rate of the original workpiece is (Material utilization rate = Volume of new workpiece / Volume of original workpiece.) [Figure] A. $\frac { 8 } { 9 }$ B. $\frac { 16 } { 9 }$ C. $\frac { 4 ( \sqrt { 2 } - 1 ) ^ { 2 } } { 9 }$ D. $\frac { 12 ( \sqrt { 2 } - 1 ) ^ { 2 } } { 9 }$ II. Fill-in-the-Blank Questions: This section has 5 questions, each worth 5 points, for a total of 25 points
10. The three-view drawing of a workpiece is shown in Figure 3. The workpiece is to be machined by cutting into a rectangular solid with the largest possible volume, with one face of the new workpiece lying on a face of the original workpiece. The material utilization rate of the original workpiece is (Material utilization rate = Volume of new workpiece / Volume of original workpiece.)\\
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A. $\frac { 8 } { 9 }$\\
B. $\frac { 16 } { 9 }$\\
C. $\frac { 4 ( \sqrt { 2 } - 1 ) ^ { 2 } } { 9 }$\\
D. $\frac { 12 ( \sqrt { 2 } - 1 ) ^ { 2 } } { 9 }$
II. Fill-in-the-Blank Questions: This section has 5 questions, each worth 5 points, for a total of 25 points\\