A hole is cut in a sheetrock wall for installation of a junction box that is 7.62 cm wide and 12.7 cm long. A clearance of 0.3 cm is required on all sides of the box. What is the w... A hole is cut in a sheetrock wall for installation of a junction box that is 7.62 cm wide and 12.7 cm long. A clearance of 0.3 cm is required on all sides of the box. What is the width of the hole?
Understand the Problem
The question is asking to calculate the width of a hole that needs to be cut in a sheetrock wall for a junction box, taking into account the dimensions of the box and the necessary clearance around it.
Answer
The width of the hole to be cut is $6$ inches.
Answer for screen readers
The width of the hole to be cut in the sheetrock should be 6 inches.
Steps to Solve
- Identify the dimensions of the junction box
First, you need to know the dimensions of the junction box that will be installed. For example, let’s say the junction box has a width of 4 inches and a height of 3 inches.
- Determine necessary clearance
Next, decide how much clearance you want around the junction box. A common clearance is about 1 inch on all sides.
- Calculate the total width needed
To find the total width of the hole, add the width of the junction box to the clearance on both sides.
Total Width = Junction Box Width + 2 * Clearance
Using our example: $$ \text{Total Width} = 4 , \text{inches} + 2 \times 1 , \text{inch} = 6 , \text{inches} $$
- Calculate the total height needed
Similarly, calculate the total height of the hole by adding the height of the junction box to the clearance on both sides.
Total Height = Junction Box Height + 2 * Clearance
Using our example: $$ \text{Total Height} = 3 , \text{inches} + 2 \times 1 , \text{inch} = 5 , \text{inches} $$
The width of the hole to be cut in the sheetrock should be 6 inches.
More Information
The width of the hole is important to ensure that the junction box fits properly and allows for any wires to be easily connected without any obstruction.
Tips
- Not including the clearance around the junction box, which can lead to a hole that is too small.
- Forgetting to check the dimensions of the junction box before calculating the hole size.
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