Determine the maximum length of a rod that can fit inside an apartment measuring 12 m in length, 4 m in width, and 3 m in height.
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Answer: D. 13 cm
Explanation
The maximum rod length that fits inside a room equals the three dimensional space diagonal. Applying the three dimensional Pythagorean theorem requires squaring length, width, and height dimensions. Summing one forty four, sixteen, and nine gives one sixty nine whose square root is thirteen. The space diagonal of a rectangular prism represents the absolute longest straight line distance. Three dimensional distance is calculated as the square root of the sum of squared components. Pythagorean extensions apply directly to orthogonal rectangular room dimensions.
Interior designers use space diagonal calculations to determine the largest furniture items that fit through rooms. Packaging engineers calculate box diagonals to ship rigid linear items efficiently. Architecture applications require spatial awareness of internal room dimensions for structural planning. Option A suggests ten centimeters which underestimates the spatial diagonal length. Option B proposes twelve centimeters which only accounts for the room length dimension. Option C offers fifteen centimeters which overestimates the square root calculation result.
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- Mathematics
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- Mathematics
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