Which scale would produce the largest scale drawing of an object when compared to the actual object?
A..1 inch : 5 feet
B..1 inch : 30 inches
C..1 foot : 12 yards
D..1 centimeter : 1 meter
Change each choice to the same units, e.g., A. 1 inch = 60 inches.
1:100
To determine which scale would produce the largest scale drawing of an object, we need to compare the ratios of the scale to the actual dimensions.
Let's calculate the magnification factor for each option:
A. 1 inch : 5 feet
To convert inches to feet, we divide by 12:
1 inch : (5/12) feet = 1 inch : 0.4167 feet
B. 1 inch : 30 inches
This ratio is already in inches, so no conversion is needed.
C. 1 foot : 12 yards
To convert feet to yards, we divide by 3:
1 foot : (12/3) yards = 1 foot : 4 yards
D. 1 centimeter : 1 meter
This ratio is already in centimeters and meters, so no conversion is needed.
Now, we can compare the magnification factors:
A. 1 inch : 0.4167 feet
B. 1 inch : 30 inches
C. 1 foot : 4 yards
D. 1 centimeter : 1 meter
From the given options, it is evident that option B has the highest magnification factor, since 30 inches is larger than 0.4167 feet, 4 yards, or 1 meter.
Therefore, the correct answer is option B: 1 inch : 30 inches. This scale would produce the largest scale drawing of an object when compared to the actual object.