Milk in a cubical container can completely fill a cuboidal containers of length 16 cm and width 8 cm. if each side of the cubical container is 8 cm, find the height of the cuboidal container.
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Answer:
Height of Cuboidal Container= 4 cm
Step-by-step explanation:
We have
Side of Cubical Container = 8 cm
Volume of Cubical Container = (Side) ³
= 8³ cm³
= 512 cm³
Since the Cubical Container can completely fill a Cuboidal Container, their volume must be equal.
Thus, volume of Cuboidal Container = 512 cm³
But, volume of Cuboidal Container = l*b*h
Therefore,
l*b*h = 512 cm³
or h= 512 cm³/l*b
or h= 512cm³/16*8 cm²
or h= 512/128 cm
or h= 4 cm
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