Question

Scales are made of wood, plastic, or metal and they generally range from 6 to how many inches?

1) 8
2) 10
3) 12
4) 14

Answer 1

The correct answer is option 3) 12.

Step-by-step explanation:

When solving problems involving scale and measurement, it's important to understand the scale factor, which is the ratio of the scale (or model) dimension to the actual dimension. For instance, to calculate the height of a school building model using a scale factor of 1 inch = 6 feet and an actual height of 30 feet, you would set up a proportion:

• Scale/Actual = 1 inch / 6 feet
• Height in model/30 feet = 1 inch / 6 feet
• Height in model = 30 feet / 6 = 5 inches

The width and length of the model can be found similarly. For items 5 and 6 about the boat model, multiply the actual length by the scale factor to get the model's length in feet, then convert to inches (1 foot = 12 inches).

• For a 1/36 scale factor: Length of model = (24 feet x 1/36) x 12 inches/foot = 8 inches
• For a 1/72 scale factor: Length of model = (24 feet x 1/72) x 12 inches/foot = 4 inches

For converting measurements, it's useful to remember conversions such as yards to feet (1 yard = 3 feet) or feet to inches (1 foot = 12 inches).