An unsealed container measures 52, 40, and 29 cms externally with a 2 cms wall thickness. If 1 cm3 of the constituent metal weighs 0.5 gms, compute the total weight of the container________?
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Answer: D. 6.832 kg
Explanation
Subtracting double the wall thickness from each external dimension yields the internal container dimensions. Subtracting the internal volume from the external volume gives the exact volume of constituent metal. Multiplying the metal volume by the density factor determines the total weight in grams. Container volume calculations require distinguishing between internal capacity and external dimensions. Wall thickness affects all opposing sides of a rectangular unsealed box structure. Density relates mass to volume, allowing conversion from cubic centimeters to kilograms.
Manufacturing industries calculate material weight to estimate shipping costs for metal containers. Engineering design requires accurate mass estimations for hollow structures and pressure vessels. Quality control procedures verify container specifications against theoretical weight calculations. Option A overestimates the total weight by using incorrect volumetric subtraction factors. Option B miscalculates the internal dimensions by failing to apply wall thickness properly. Option C provides a slightly inaccurate decimal placement compared to the precise mathematical result.
- Subject
- Mathematics
- Category
- Mathematics
- Topic
- —
- Difficulty
- medium
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