Question
With no wastage, small cubes of side 3 inches are formed from a cuboid with the dimensions 2:3:9 are formed. Find the ratio of the body diagonal of the cuboid to that of all of the cubes.
Answer: Option B
:
B
Number of cubes = 2a×3a×9a3×3×3 = 2a3
Diagonal of a cube = √4a2+9a2+81a2
Sum of the diagonals of cubes = 2a3 × 3√3
Ratio =√4a2+9a2+81a22a3×3√3
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B
Number of cubes = 2a×3a×9a3×3×3 = 2a3
Diagonal of a cube = √4a2+9a2+81a2
Sum of the diagonals of cubes = 2a3 × 3√3
Ratio =√4a2+9a2+81a22a3×3√3
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