How many boxes each of size 12 cm ×8 cm × 6 cm can be packed in a carton of size 60 cm × 48 cm × 36 cm ?
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Answer:
Step-by-step explanation:
Find the volume of box and carton
Dimensions of box = 12 x 8 x 6
By looking at the dimensions, we know the box is cuboidal
Therefore, volume of cuboid = L x B x H
= 12 x 8 x 6
= 576
Therefore, volume of box is 576cu.cm
Dimensions of carton = 60 x 48 x 36
By looking at the dimensions, we know the carton is cuboidal
Therefore, volume of cuboid = L x B x H
= 60 x 48 x 36
= 216 x 48
= 10368
Therefore, volume of carton is 10368cu.cm
To determine the boxes will be fit in the carton
= Volume of Carton/Volume of box
= 10368/576
= 18
Therefore, 18 boxes of the given dimensions will be fit in the carton
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