Three switches are to be installed in a panel. The switches are each 21/2 inches wide. There will be 11/4 inches clearance between switches and 37/8 inches between any switch and the edge of the box. How wide is the box?
Do you mean?
2 1/2 inches wide
1 1/4 inches clearance
3 7/8 inches between
To determine the width of the box, we need to add up the widths of the switches and the clearance spaces between them and the edges of the box.
The total width of the switches is 2 1/2 inches each, so for three switches: 2 1/2 inches x 3 = 7 1/2 inches
The clearance between switches is 1 1/4 inches each, so for two spaces: 1 1/4 inches x 2 = 2 1/2 inches
The clearance between the switch and the edge of the box is 3 7/8 inches.
We can now add up all these measurements to find the width of the box:
7 1/2 inches (switches) + 2 1/2 inches (switch clearance) + 3 7/8 inches (edge clearance) = 14 7/8 inches
Therefore, the width of the box is 14 7/8 inches.
To find the width of the box, we need to calculate the total width occupied by the switches and the clearance spaces.
First, let's calculate the total width occupied by the switches:
Since each switch is 2 1/2 inches wide, the total width occupied by the three switches is 2 1/2 inches * 3 switches = 7 1/2 inches.
Next, let's calculate the total width occupied by the clearance spaces:
There is a 1 1/4 inches clearance between each switch, and we have two spaces between three switches. So, the total width occupied by the clearance spaces is (1 1/4 inches * 2) = 2 1/2 inches.
We also have 3 7/8 inches of clearance between any switch and the edge of the box.
Now, let's add up all the widths to find the total width of the box:
Total width = Width of the switches + Width of the clearance spaces + Clearance on one side
= 7 1/2 inches + 2 1/2 inches + 3 7/8 inches
To help with the calculation, we can convert all the fractions to a common denominator, which is 8:
Total width = (60/8) inches + (20/8) inches + (31/8) inches
= (60+20+31) / 8 inches
= 111 / 8 inches
So, the width of the box is 111/8 inches, which is equivalent to 13 7/8 inches.