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2022 AMC 8 Question 24

AMC8 · 2022 AMC 8

Question 24

The figure below shows a polygon $ABCDEFGH,$ consisting of rectangles and right triangles. When cut out and folded on the dotted lines, the polygon forms a triangular prism. Suppose that:

$$
AH = EF = 8
$$

and

$$
GH = 14.
$$

What is the volume of the prism?

Question illustration
  1. $112$
  2. $128$
  3. $192$
  4. $240$
  5. $288$