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Tran oversees filling the popcorn machine at the local movie theater. The dimensions of the popcorn machine are shown below. The machine currently has 1,425 cubic inches of popcorn inside.

20 in 25 in 15 in

What is the volume of the popcorn that must be added to the machine? Your answer must be exact or accurate to the nearest hundredth

User Robby Shaw
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1 Answer

5 votes

Answer:

6,075

Explanation:

To find the volume of popcorn that must be added to the machine, we need to calculate the difference between the current volume and the maximum volume of the machine.

The volume of the popcorn machine can be calculated by multiplying its dimensions:

Volume = Length × Width × Height

Given dimensions:

Length = 20 inches

Width = 25 inches

Height = 15 inches

Volume of the machine = 20 in × 25 in × 15 in = 7,500 cubic inches

To find the volume of popcorn that must be added, we subtract the current volume (1,425 cubic inches) from the maximum volume (7,500 cubic inches):

Volume of popcorn to be added = Maximum volume - Current volume

= 7,500 cubic inches - 1,425 cubic inches

= 6,075 cubic inches

Therefore, the volume of popcorn that must be added to the machine is 6,075 cubic inches.

User Rivasa
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