Free ACT Practice Question

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ID: ACT-M-146
Section: Math
Topics: Geometry; Geometry
Difficulty level: Medium

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figure

The triangular prism shown above is made of iron. The triangle $ABC$ has base $BC$ of $6$ units and height $AE$ of $8$ units. The length of the prism, $AF$, is $9$ units. It is melted and recast into small identical cubes (shown above) having sides of $2$ units each. How many such cubes can be made if there is no loss of metal during recasting?

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