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The size of an interior door frame is determined by the width of the wall into which it is installed. The width of the wall is determined by the width of the stud in the wall and the thickness of the sheets of drywall installed on each side of the wall. A 2 * 4 studs is 5/8 inches thick. A 2 * 6 studs is 5 5/8 inches thick.Find the difference in thickness between a fire wall constructed with 2 * 6 studs and drywall that is 3/4 inch thick and a fire wall constructed with 2 * 4 studs and drywall that is 5/8 inch thick.

The size of an interior door frame is determined by the width of the wall into which it is installed The width of the wall is determined by the width of the stu class=

Respuesta :

To solve this exercise we only need to find the difference in thickness between the 2 walls

wall one

• Drywall = 3/4 inch thick

,

• Stud 2x6 =5 5/8 inch thick

[tex]\begin{gathered} Wall_1=\frac{3}{4}+5\frac{5}{8}+\frac{3}{4} \\ Wall_1=\frac{3}{4}+5+\frac{5}{8}+\frac{3}{4} \\ Wall_1=\frac{57}{8} \end{gathered}[/tex]

wall two

• Drywall = 5/8 inch thick

,

• Stud 2x4=3 5/8 inch thick

[tex]\begin{gathered} Wall_2=\frac{5}{8}+3\frac{5}{8}+\frac{5}{8} \\ Wall_2=\frac{5}{8}+3+\frac{5}{8}+\frac{5}{8} \\ Wall_2=\frac{39}{8} \end{gathered}[/tex]

We proceed to subtract them to know what the difference is

[tex]\begin{gathered} Wall_1=\frac{57}{8} \\ Wall_2=\frac{39}{8} \end{gathered}[/tex][tex]Difference=Wall_1-Wall_2[/tex][tex]\begin{gathered} Difference=\frac{57}{8}-\frac{39}{8} \\ Difference=\frac{57-39}{8} \\ Difference=\frac{18}{8} \\ Difference=\frac{9}{4} \\ Difference=2.25 \end{gathered}[/tex]

The 2 walls differ by 9/4 inch or 2.25inch

. Wall one is thicker than Wall two

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