Final answer:
To determine if the house appears larger or smaller in a scale drawing with a scale of 5 cm to 10 m without comparisons, it's impossible. Such determination requires the specific scales of the other drawings for comparison. Solving problems with scale involves creating a ratio between the scale measurement and the actual size.
Step-by-step explanation:
Considering a scale drawing of a house with the given scale of 5 cm to 10 m, we need to compare it with other unspecified scales. To determine whether the house appears larger or smaller, we analyze the scale factor. The scale indicates that 1 cm in the drawing corresponds to 2 meters of the actual house. If in other scales, a smaller unit length on the drawing represents a larger actual length, this scale drawing would make the house appear larger; conversely, if a larger unit length on the drawing represents the same actual length, the house would appear smaller. Without knowledge of the specific scales used in the other drawings, we cannot assess the relative size.
To solve problems involving scale and measurement, ratios are set up to equate the scale measurements with the actual size. For example:
- Haley's school model at a scale of 1 inch = 6 feet would mean her model's height for a 30-foot tall building is 5 inches.
- The width of her school in the model would be 20 inches if the actual width is 120 feet.
- The model's length would be 30 inches for an actual building length of 180 feet.
- On Eddie's map, the distance between the post office and City Hall with a scale of 1 cm = 8 meters would be 7 centimeters.
These examples demonstrate the relationship between a scale factor and the respective dimensions in a scale model or drawing.