Question

A scale drawing of a car is presented in the following three scales. Order the scale drawings from smallest to largest. Explain your reasoning. (There are about 1.1 yards in a meter, and 2.54 cm in an inch.)
1 in to 1 ft

1 in to 1 m

1 in to 1 yd

Smallest:
[ Select ]

second smallest:
[ Select ]

Largest:
[ Select ]

Answer 1

The order of the scale drawings from smallest to largest is

Smallest

1 in to 1 ft

Second smallest

1 in to 1 yd

Largest

1 in to 1 m

Given the following scales:

1 in to 1 ft

1 in to 1 m

1 in to 1 yd

We are to arrange the scales from smallest to largest.

Since 1 in is used as the base conversion for all the scales, we can convert the other scales to yards for consistency's sake.

Convert 1m to yards

1m = 1.1yards (From the question)

Convert 1ft to yards. According to conversion factor;

1 feet = 0.333333 yards

Ordering the scales from smallest to largest will give

0.33333yard (1 in to 1 ft), 1 yard (1 in to 1 yd), 1.1yards (1 in to 1 m)

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