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?
A.251/108✓ Correct
B.505/216
C.247/108
D.503/216
Explanation
Dimensions: 27k, 8k, k. Volume = 216k³ = cube side³, so cube side = 6k. p = 2(27·8+8·1+27·1)k² = 2(216+8+27)k² = 502k². q = 6·36k² = 216k². p/q = 502/216 = 251/108.
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