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Question

Find the number of cuboidal boxes measuring 2 cm by 3 cm by 10 cm which can be stored in a carton whose dimensions are 40 cm, 36 cm and 24 cm.

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Solution

Dimension of one cuboidal box = 2 cm×3 cm×10 cmVolume =(2×3×10) cm3=60 cm3It is given that the dimension of a carton is 40 cm×36 cm×24 cm, where the boxes can be stored. Volume of the carton=(40×36×24) cm3=34560 cm3 The required number of cuboidal boxes that can be stored in the carton=volume of the cartonvolume of one cuboidal box=34560 cm360 cm3=576

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