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You work in the kitchen at a summer camp and must make a batch of sports drink for the campers on a hot day. You mix the drink in a container with sides measuring 1 foot by 1.5 feet by 3 feet. After filling the container with water, you must add two scoops of drink mix for each gallon of water.

To calculate the number of scoops needed for a full batch, you perform the following steps:

1. Multiply 1 by 1.5 by 3 to get the volume of the container in cubic feet.
2. Multiply this by 1,728 to convert the volume to cubic inches (since 1 cubic foot = 1,728 cubic inches).
3. Divide by 231 to get the number of gallons (since 1 gallon = 231 cubic inches).
4. Multiply by 2 to get the total number of scoops.

What mistake was made in your calculation?

Answer :

Final answer:

The mistake in the calculation is that the volume of the container was converted to cubic inches incorrectly.

Explanation:

The mistake in the calculation is that the volume of the container was converted to cubic inches incorrectly. Instead of multiplying 1 by 3, it should have been multiplied by 1.5. This error led to an incorrect volume calculation. To correct it, you need to multiply the length, width, and height of the container.

  1. The volume of the container is 1 foot x 1.5 feet x 3 feet = 4.5 cubic feet.
  2. To convert cubic feet to cubic inches, multiply by 12^3 since there are 12 inches in a foot. 4.5 cubic feet x (12 inches/foot)^3 = 7776 cubic inches.
  3. To convert cubic inches to gallons, divide by 231 since there are approximately 231 cubic inches in a gallon. 7776 cubic inches / 231 = 33.71 gallons.
  4. Finally, to calculate the number of scoops needed, multiply the number of gallons by 2. 33.71 gallons x 2 = 67.43 scoops.

The correct calculation would require approximately 67.43 scoops for a full batch of sports drink.

Learn more about Volume calculation here:

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