A steel manufacturere is selling some material for $3.57 per 0.47 pounds. You know that the material weighs 0.035 lbs per inch. You need to buy 5 ft and 3 inches of this material. How much will it cost you?

This material will cost me what? round to 2nd decimal

To calculate the cost of the material, we will follow these steps:

1. **Convert the total length to inches**:
   \[
   5 \, \text{ft} = 5 \times 12 = 60 \, \text{inches}
   \]
   So, 5 ft 3 inches = $ 60 + 3 = 63 \, \text{inches} $.

2. **Calculate the total weight of the material**:
   The material weighs 0.035 pounds per inch. So, for 63 inches:
   \[
   63 \times 0.035 = 2.205 \, \text{pounds}
   \]

3. **Calculate the price per pound**:
   The manufacturer sells the material for $3.57 per 0.47 pounds. To get the price per pound:
   \[
   \frac{3.57}{0.47} = 7.6 \, \text{dollars per pound}
   \]

4. **Calculate the total cost**:
   The total weight is 2.205 pounds, and the price per pound is $7.60. So the total cost is:
   \[
   2.205 \times 7.60 = 16.758 \, \text{dollars}
   \]

5. **Round to two decimal places**:
   The final cost is $16.76.

### The material will cost you $16.76.

Would you like further clarification on any of the steps? Here are 5 related questions:

1. How would the cost change if the material weighed 0.04 lbs per inch?
2. What if the price per 0.47 pounds was reduced to $3.20?
3. How much material could you buy for $20 at the same rate?
4. How would the cost be affected if you only needed 4 feet of the material?
5. What would be the weight of 10 feet of this material?

**Tip**: Always double-check unit conversions when dealing with different measurements like feet, inches, and pounds.

A steel manufacturer is selling some material for $3.57 per 0.47 pounds. You know that the material weighs 0.035 lbs per inch. You need to buy 5 ft and 3 inches of this material. How much will it cost you? Round to the 2nd decimal.

Learn how to calculate the cost of steel material sold at $3.57 per 0.47 pounds when you need 5 ft 3 inches. This step-by-step solution covers unit conversion, weight calculation, and cost estimation. Perfect for students in Grades 6-8.

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