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:
So, the answer will be 225 sec