Ask Question
28 April, 05:56

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

+3
Answers (2)
  1. 28 April, 06:01
    0
    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.
  2. 28 April, 06:01
    0
    Option B.

    Step-by-step 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.
Know the Answer?
Not Sure About the Answer?
Find an answer to your 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 ...” in 📗 Mathematics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers