2022 · Q85
The length, breadth and height of a cuboid are in the ratio 27 : 8 : 1. The cuboid is melted and recast into a cube. If p is the surface area of the cuboid and q is the surface area of the cube, then what is p/q equal to?
Elementary MathematicsMensuration
- A247/108
- B251/108
- C503/216
- D505/216
Explanation
p = 2(27kx8k+8kxk+27kxk) = 502k²; equal volume gives cube side 6k and q = 6x36k² = 216k². Thus p/q = 502/216 = 251/108. Hence the keyed option is B.