Math Problem Statement

How many sheets of metal are in a stack 5.00 in. high if each sheet is 0.0144 in.​ thick? Question content area bottom Part 1 The number of metal sheets in the stack is    enter your response here. ​(Round to the nearest whole number as​ needed.)

Solution

To find the number of metal sheets in the stack, you can use the formula:

Number of sheets=Total height of the stackThickness of each sheet\text{Number of sheets} = \frac{\text{Total height of the stack}}{\text{Thickness of each sheet}}

Given values:

  • Total height of the stack: 5.005.00 inches
  • Thickness of each sheet: 0.01440.0144 inches

Substituting these values:

Number of sheets=5.000.0144\text{Number of sheets} = \frac{5.00}{0.0144}

Let's calculate this.The number of metal sheets in the stack is approximately 347.

Would you like to go over the calculations or have any other questions? Here are some related questions that might interest you:

  1. How would the number of sheets change if the stack height increased to 6 inches?
  2. What would be the height of the stack if there were 500 sheets?
  3. If each sheet was 0.02 inches thick, how many sheets would fit in a 5-inch stack?
  4. How do you calculate the number of sheets if the thickness varies?
  5. How would rounding to the nearest sheet affect the overall stack height?

Tip: Always double-check units to ensure the consistency of your calculations.

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Math Problem Analysis

Mathematical Concepts

Division
Rounding
Unit Conversion

Formulas

Number of sheets = Total height of the stack / Thickness of each sheet

Theorems

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Suitable Grade Level

Grades 6-8