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1997 AMC 12 Question 23

AMC12 · 1997 AMC 12

Question 23

In the figure, polygons $A,$ $E,$ and $F$ are isosceles right triangles; $B,$ $C,$ and $D$ are squares with sides of length $1;$ and $G$ is an equilateral triangle. The figure can be folded along its edges to form a polyhedron having the polygons as faces. The volume of this polyhedron is

Question illustration
  1. $\frac12$
  2. $\frac23$
  3. $\frac34$
  4. $\frac56$
  5. $\frac43$