Question

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

Answer 1

Option B.

Explanation:

We need to find which scale would produce the largest scale drawing of an object when compared to the actual object.

First of all cover all units in inches.

In option 1,

1 inch : 5 feet

We know that

1 feet = 12 inch → 5 feet = 60 inch

So the ratio in inches is 1:60. It means the scale factor is 60.

In option 2,

1 inch : 30 inches

So the ratio in inches is 1:30. It means the scale factor is 30.

In option 3,

1 foot : 12 yards

12 inches : 12 yards (1 feet = 12 inch)

1 inch : 1 yards

1 inch : 36 inch (1 yard = 36 inch)

So the ratio in inches is 1:36. It means the scale factor is 36.

In option 4,

1 centimeter : 1 meter

1 centimeter : 100 centimeter (1 m = 100 cm)

1 inch : 100 inch

So the ratio in inches is 1:100. It means the scale factor is 100.

Option B has smallest scale factor, so it will produce the largest scale drawing of an object when compared to the actual object.

Therefore, the correct option is B.

Answer 2

Covert the ratios so they are all the same measurement type.

A. 5 feet = 5 x 12 = 60 inches.

The scale becomes 1:60

B. 1:30

C. 12 yards = 12 x 3 = 36 feet x 12 = 432 inches.

The scale is 12:432 = 1:36

D. 1 meter = 39.37 inches.

1 inch = 2.54 cm

39.37 x 2.54 = 99.99 inches

The scale converted to inches becomes 1 :100 inches.

The first number would be the size of the drawing, the second number is the size of the actual object

If you use all 4 scale factors for a real object that is 100 inches:

A would need 100/60 = 1.67 inches.

B would need 100/30 = 3.3 inches.

C would need 100/36 = 2.78 inches.

D would need 100/100 = 1 inch.

The larger scaled drawing would be B.