Respuesta :

Given:

A machine can pack a 1 ft by 2 ft by 2 ft carton in 6 seconds

So, the time will be proportional with the volume of the carton

The volume of the given = 1 x 2 x 2 = 4 ft³

we will find the time when the carton is 5ft by 5ft by 6ft

So, the volume of the carton = 5 x 5 x 6 = 150 ft³

Let the time of packing = x

so, we have the following ratio:

Volume : Time

4 : 6

150 : x

Using the cross product:

[tex]x=\frac{6\cdot150}{4}=225[/tex]

So, the answer will be 225 sec

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