A building has 4 stories that are each 15 feet high. A scale drawing has the height of the building at 5 inches.
Which of the following is the correct scale?
To determine the scale of the drawing, we can use the given information:
Height of the building in real life: 4 stories x 15 feet = 60 feet
Height of the building in the scale drawing: 5 inches
To find the scale, we need to compare the height in the drawing to the height in real life:
Scale = Height in drawing / Height in real life
So, the scale of the drawing is:
Scale = 5 inches / 60 feet
Note that we need to convert the units to be the same. Since there are 12 inches in a foot, we can convert the feet to inches:
Scale = 5 inches / (60 feet x 12 inches/foot)
Simplifying the expression:
Scale = 5 inches / (720 inches)
The units cancel out, and we are left with:
Scale = 1/144
Therefore, the correct scale is 1 inch on the drawing represents 144 inches in real life.
To find the correct scale, we need to compare the actual height of the building to the height shown in the scale drawing.
The actual height of the building is 4 x 15 = 60 feet.
The height shown in the scale drawing is 5 inches.
To determine the scale, we can set up a ratio:
Actual height / Scale height = Scale factor
So, 60 feet / 5 inches = Scale factor
To make the units consistent, we need to convert feet to inches:
60 feet = 60 feet x 12 inches/1 foot = 720 inches
Substituting the values:
720 inches / 5 inches = Scale factor
The scale factor is 144.
Therefore, the correct scale is 1 inch = 144 feet.
H = 4stories * 15Ft/story = 60 Ft high.
Scale = 60Ft / 5in = 12Ft/1in.
Or 1 in = 12 Ft.