Question
Explain how to find the original and the new dimensions of an object when the scale changes.
Answers
GPT 3.5
To find the original and new dimensions of an object when the scale changes, follow these steps:
1. Determine the scale factor: The scale factor represents the ratio of the new size to the original size. It can be given as a fraction, a decimal, or a percentage. For example, if the object is being scaled down to 75% of its original size, the scale factor would be 0.75.
2. Identify the original dimensions: Measure or know the original dimensions of the object. For example, if you have a rectangle, measure its length and width.
3. Calculate the new dimensions: To find the new dimensions, multiply each of the original dimensions (length, width, height) by the scale factor.
4. Write down the results: Express the new dimensions in the same units as the original dimensions. For example, if the original length was 10 meters and the scale factor is 0.75 (scaled down to 75%), then the new length would be 10 meters x 0.75 = 7.5 meters.
It's important to note that if the scale factor is greater than 1, it means the object is being scaled up and the new dimensions will be larger than the original dimensions. Conversely, if the scale factor is between 0 and 1, it means the object is being scaled down and the new dimensions will be smaller than the original dimensions.
1. Determine the scale factor: The scale factor represents the ratio of the new size to the original size. It can be given as a fraction, a decimal, or a percentage. For example, if the object is being scaled down to 75% of its original size, the scale factor would be 0.75.
2. Identify the original dimensions: Measure or know the original dimensions of the object. For example, if you have a rectangle, measure its length and width.
3. Calculate the new dimensions: To find the new dimensions, multiply each of the original dimensions (length, width, height) by the scale factor.
4. Write down the results: Express the new dimensions in the same units as the original dimensions. For example, if the original length was 10 meters and the scale factor is 0.75 (scaled down to 75%), then the new length would be 10 meters x 0.75 = 7.5 meters.
It's important to note that if the scale factor is greater than 1, it means the object is being scaled up and the new dimensions will be larger than the original dimensions. Conversely, if the scale factor is between 0 and 1, it means the object is being scaled down and the new dimensions will be smaller than the original dimensions.
1-2 sentences
GPT 3.5
To find the new dimensions of an object when the scale changes, multiply the original dimensions by the scale factor. The scale factor represents the ratio of the new size to the original size.
Explain how an enlargement or a reduction in the dimensions of a building would cause a change in the scale factor. 1-2 sentences
GPT 3.5
An enlargement in the dimensions of a building would result in a scale factor greater than 1, indicating that the new size is larger than the original size. Conversely, a reduction in the dimensions would result in a scale factor less than 1, indicating that the new size is smaller than the original size.