10. The three-view drawing of a workpiece is shown in Figure 3. The workpiece is to be machined by cutting into a rectangular parallelepiped with the largest possible volume, with one face of the new workpiece lying on a face of the original workpiece. Then the material utilization rate of the original workpiece is (material utilization rate = volume of new workpiece / volume of original workpiece) [Figure] A. $\frac { 8 } { 9 \pi }$ B. $\frac { 8 } { 27 \pi }$ C. $\frac { 24 ( \sqrt { 2 } - 1 ) ^ { 3 } } { \pi }$ D. $\frac { 8 ( \sqrt { 2 } - 1 ) ^ { 3 } } { \pi }$ 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 parallelepiped with the largest possible volume, with one face of the new workpiece lying on a face of the original workpiece. Then 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. $\frac { 8 } { 9 \pi }$\\
B. $\frac { 8 } { 27 \pi }$\\
C. $\frac { 24 ( \sqrt { 2 } - 1 ) ^ { 3 } } { \pi }$\\
D. $\frac { 8 ( \sqrt { 2 } - 1 ) ^ { 3 } } { \pi }$
II. Fill-in-the-Blank Questions: This section has 5 questions, each worth 5 points, for a total of 25 points\\