A machine can pack a 3ft. by 2ft. by 1ft. carton with styrofoam "peanuts" in 7.5 seconds. How long would it take to fill a carton that measures 4ft by 6ft by 6ft? Possible answers: 180 sec, 45 sec, 20 sec, or 75 sec?

Question

Mathematics

Alma Dickson

17 April, 22:26

A machine can pack a 3ft. by 2ft. by 1ft. carton with styrofoam "peanuts" in 7.5 seconds. How long would it take to fill a carton that measures 4ft by 6ft by 6ft? Possible answers: 180 sec, 45 sec, 20 sec, or 75 sec?

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Answers (1)

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Jose Nichols · Answer 1

The answer is 180 seconds. The reason for this is that the second carton is 24 times the volume of the first one; so, the time taken to pack the container would be 24 times longer. This means that the answer would be found by the equation 7.5 * 24 which is evaluated to 180 seconds