A unit has 3.38 pounds of 5.56mm ammunition residue. A single round has a brass weight of 0.0135. How many total rounds of residue are being turned in?
Understand the Problem
The question asks how many rounds of 5.56mm ammunition residue are being turned in, given the total weight of the residue and the weight of a single round. The approach involves dividing the total weight of the residue by the weight of one round to find the total number of rounds.
Answer
The total number of rounds being turned in is approximately 250.
Answer for screen readers
The total number of rounds being turned in is approximately 250.
Steps to Solve
- Convert total weight to ounces
Since we know that 1 pound is equal to 16 ounces, we first convert the total weight of ammunition residue from pounds to ounces.
$$ 3.38 \text{ pounds} \times 16 \text{ ounces/pound} = 54.08 \text{ ounces} $$
- Determine the weight of a single round in ounces
Next, we convert the weight of a single round from pounds to ounces. We know that 1 round weighs 0.0135 pounds.
$$ 0.0135 \text{ pounds} \times 16 \text{ ounces/pound} = 0.216 \text{ ounces} $$
- Calculate the total number of rounds
Now, we divide the total weight of the residue in ounces by the weight of a single round in ounces to find the total number of rounds.
$$ \text{Total rounds} = \frac{54.08 \text{ ounces}}{0.216 \text{ ounces/round}} \approx 250 $$
The total number of rounds being turned in is approximately 250.
More Information
This calculation is important for military and logistical purposes to ensure that the correct amounts of ammunition residues are accounted for when turning in spent casings.
Tips
- Incorrect unit conversion: Failing to convert pounds to ounces or vice versa can lead to significant errors in the final count.
- Division errors: Misplacing decimal points or incorrectly calculating division can change the outcome.
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