Free SAT Practice Question

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ID: SAT-MATH-GT-009
Section: SAT Math - Geometry & Trigonometry (G&T)
Topic: Area and volume
Difficulty level: Medium

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A hollow cuboid has edges with lengths of \(50\), \(20\), and \(20\) inches. A \(10{,}000\)-cubic-inch liquid solution was poured in, and two identical solid spherical balls with a radius of \(7\) inches were inserted in it. To the nearest cubic inch, what is the volume of space in the cuboid not taken up by the liquid solution and balls?

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