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Find the number of cuboidal boxes measur...

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

Text Solution

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Given:
Length of cuboidal box `(l)= 2cm`
Breadth `(b)=3 cm`
Height `(h)=10 cm`
`∴`Volume`=l×b×h`
Volume`=2×3×10cm^3`
Volume`=60cm^3`
Volume of carton`= 40×36×24cm^3`
Volume of carton`=34560cm^3`
`∴`Number of boxes to be stored in the carton`rArr34560/60=576`
Hence, `576` boxes can stored in the carton.
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