High School

The ice cream shop sells whole cartons of ice cream that customers can take home. One carton holds 2 quarts of ice cream. The owner advertises that you can make up to 20 ice cream cones with a single carton.

Hints:
- 1 quart = 57.75 cubic inches
- 1 cubic foot = 1,728 cubic inches

How many cartons of ice cream are needed for an order of 5,000 ice cream cones, given that the volume of each cone is 6.2 cubic inches?

Answer :

Final answer:

To find the number of boxes needed for an order of 5000 ice cream cones, calculate the total volume of ice cream needed and divide it by the volume per carton, which is 2 quarts.

Explanation:

To find the number of boxes needed for an order of 5000 ice cream cones, we first need to determine how much ice cream is needed for each cone. Given that the volume of each cone is 6.2 cubic inches, we can find the total volume of ice cream needed by multiplying the volume per cone by the number of cones in the order:

Volume per cone = 6.2 cubic inches
Total cones in order = 5000 cones

Total volume of ice cream needed = Volume per cone * Total cones in order = 6.2 cubic inches * 5000 cones = 31000 cubic inches.

Since each carton of ice cream holds 2 quarts or 2 * 57.75 = 115.5 cubic inches, we can calculate the number of cartons needed:

Number of cartons needed = Total volume of ice cream needed / Volume per carton = 31000 cubic inches / 115.5 cubic inches = 268.8 cartons.

Therefore, you can expect to receive approximately 269 cartons for an order of 5000 ice cream cones.

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