Solved UPSC CDS/OTA Question
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Q · Mensuration Medium · 45s
The height of a wall is six times its width and the length of the wall is seven times its height. If volume of the wall be 16128 cube m, its width is
TopicMensuration
Question Typemultiple choice
DifficultyMedium
Marking+1 / −0.33
Test Duration30 min
Step-by-Step Solution
The complete worked solution.
Every step explained — no skipped algebra.
Let width of a wall = X m
Given: height of a wall is six times its width
Therefore height = 6X m
Given: the length of the wall is seven times its height
Therefore length = 7(6X) = 42X m
Volume of the wall = Length × width × height
Hence; 16128 = 42X×X×6X
→ 252X₃ = 16128 → X₃ = 64
→ X = 4 m
Width of wall = 4m.
Final Answer: Option A — 5 m