Question
how many sheets of metal 1/32 inches thick are there in a pile 251/2 inches high
Answers
GPT-4o mini
To determine how many sheets of metal that are 1/32 inches thick fit into a pile that is 25 1/2 inches high, you can use the following formula:
\[
\text{Number of sheets} = \frac{\text{Total height}}{\text{Thickness of one sheet}}
\]
1. First, convert the total height from a mixed number to an improper fraction:
\[
25 \frac{1}{2} \text{ inches} = 25 + \frac{1}{2} = \frac{50}{2} + \frac{1}{2} = \frac{51}{2} \text{ inches}
\]
2. The thickness of each sheet is \( \frac{1}{32} \) inches.
3. Now, substitute these values into the formula:
\[
\text{Number of sheets} = \frac{\frac{51}{2}}{\frac{1}{32}}
\]
4. To divide by a fraction, multiply by its reciprocal:
\[
\text{Number of sheets} = \frac{51}{2} \times \frac{32}{1} = \frac{51 \times 32}{2} = \frac{1632}{2} = 816
\]
Therefore, there are **816 sheets** of metal that are 1/32 inches thick in a pile 25 1/2 inches high.
\[
\text{Number of sheets} = \frac{\text{Total height}}{\text{Thickness of one sheet}}
\]
1. First, convert the total height from a mixed number to an improper fraction:
\[
25 \frac{1}{2} \text{ inches} = 25 + \frac{1}{2} = \frac{50}{2} + \frac{1}{2} = \frac{51}{2} \text{ inches}
\]
2. The thickness of each sheet is \( \frac{1}{32} \) inches.
3. Now, substitute these values into the formula:
\[
\text{Number of sheets} = \frac{\frac{51}{2}}{\frac{1}{32}}
\]
4. To divide by a fraction, multiply by its reciprocal:
\[
\text{Number of sheets} = \frac{51}{2} \times \frac{32}{1} = \frac{51 \times 32}{2} = \frac{1632}{2} = 816
\]
Therefore, there are **816 sheets** of metal that are 1/32 inches thick in a pile 25 1/2 inches high.