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8 votes
8 votes
A scale model of a building is 17 inches tall. The actual building is about 1819 feet tall. What is the scale?

User Benyamin
by
2.6k points

2 Answers

14 votes
14 votes

Final answer:

To determine the scale of a model, use the ratio of the model's height to the building's actual height, making sure both measurements are in the same unit. For a building model that is 17 inches tall and an actual building of 1819 feet, the scale is found to be 1 inch on the model representing approximately 1284 inches on the actual building.

Step-by-step explanation:

The subject of this question is about determining the scale of a model based on the actual size and model size of a structure. To find the scale, you compare the height of the scale model to the height of the actual building. First, you need to make sure both heights are in the same units. In this case, we need to convert the actual building height from feet to inches because the model is measured in inches.

Since there are 12 inches in a foot, we multiply the actual building height by 12. The actual building is 1819 feet tall, so in inches, that would be 1819 feet × 12 inches/foot = 21828 inches.

Now we use the ratio to find the scale:

Model height / Actual height in the same units = Scale

17 inches (model height) / 21828 inches (actual height) = scale

Therefore, the scale is 17/21828, which simplifies to 1 inch on the model representing approximately 1284 inches of the actual building.

User Bozena
by
3.0k points
12 votes
12 votes

Answer: 107 inches

Step-by-step explanation:

1819 divided by 17 = 107

1819 is the real measurement

17 is the model measurement

You must divide the real measurement by the model measurement to get the answer.

User Kamal Dua
by
3.2k points
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