A carton measures 3 feet by 2 feet by 2 feet. A machine can fill the carton with packaging material in 3 seconds. How long would it take to fill a carton that measures 4 feet by 5 feet by 6 feet?

Question

Mathematics

Reese Keith

6 March, 20:22

A carton measures 3 feet by 2 feet by 2 feet. A machine can fill the carton with packaging material in 3 seconds. How long would it take to fill a carton that measures 4 feet by 5 feet by 6 feet?

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Answers (1)

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Jamarion Paul · Answer 1

3 * 2 * 2 = 12 feet cubed (the volume of the carton)

4 * 5 * 6 = 120 feet cubed (the volume of the carton)

if it takes 3 seconds to fill a carton with a volume of 12 then how long will it take to fill a carton with a volume of 120?

12:3 = 4

therefore 4 feet cubed is the amount of space that the carton will be filled with per second.

120 : 4 = 30

therefore it takes 30 seconds to fill a carton that measures 4 feet by 5 feet by 6 feet.