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The surface areas of three faces of a cuboid sharing a common vertex are 25 m², 32 m² and 32 m². What is the volume of the cuboid?
A160 m³
B92 m³
C184 m³
D128 m³
Answer & Solution
Correct answer: A. 160 m³
1. Let the faces be ab = 25, bc = 32, ca = 32.
2. Multiply: (abc)² = 25 × 32 × 32 = 25600.
3. So abc = √25600 = 160.
4. Volume of the cuboid = abc = 160 m³.
_Source: RRB Group D CEN-02/2018 PYQ, Q.13._
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