Explain how to find the original and the new dimensions of an object when the scale changes.
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.
1-2 sentences
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
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.
To find the original and new dimensions of an object when the scale changes, follow these steps:
1. Determine the original dimensions: Start by measuring the existing dimensions of the object. For example, if the object is a rectangle, measure its length (L) and width (W).
2. Calculate the scale factor: The scale factor represents the change in size between the original object and the new object. It can be expressed as a decimal or a fraction. For instance, if the scale factor is 1/2 or 0.5, it means the new object is half the size of the original.
3. Apply the scale factor to the original dimensions: Multiply the original length and width by the scale factor. This will give you the new dimensions.
New length (NL) = Original length (OL) x Scale factor
New width (NW) = Original width (OW) x Scale factor
4. Find the new dimensions: Substitute the values calculated in step 3 into the equations.
New length (NL) = L x Scale factor
New width (NW) = W x Scale factor
5. Round or approximate the new dimensions: Depending on the accuracy needed or the scale of the object, you may need to round or approximate the new dimensions to a desired level of precision. This is particularly important when using fractional scale factors.
By following these steps, you will be able to find the original and new dimensions of an object when the scale changes.
When the scale changes, the original dimensions of an object can be found by dividing the new dimensions by the scale factor. Conversely, if you have the original dimensions and the scale factor, you can find the new dimensions by multiplying the original dimensions by the scale factor.
To find the original dimensions when the scale changes, follow these steps:
1. Determine the scale factor: The scale factor is typically given in the problem statement. It represents how much larger or smaller the new object is in comparison to the original object. For example, if the scale factor is 2, it means the new object is twice as large as the original.
2. Identify the new dimensions: The problem should provide you with the new dimensions of the object after the scale change. For example, if the new length is given as 10 units and the new width as 8 units, then the new dimensions are length = 10 units and width = 8 units.
3. Divide the new dimensions by the scale factor: Divide each dimension of the new object by the scale factor. This will give you the original dimensions. For example, if the scale factor is 2, divide the new length and width by 2: original length = 10 units / 2 = 5 units, and original width = 8 units / 2 = 4 units.
To find the new dimensions when the scale changes, follow these steps:
1. Determine the scale factor: The problem should give you the scale factor, which represents the relationship between the new and original dimensions. For example, if the scale factor is 0.5, it means the new object is half the size of the original.
2. Identify the original dimensions: The problem statement should provide you with the original dimensions of the object. For example, if the original length is given as 12 units and the original width as 6 units, then the original dimensions are length = 12 units and width = 6 units.
3. Multiply the original dimensions by the scale factor: Multiply each dimension of the original object by the scale factor to find the new dimensions. For example, if the scale factor is 0.5, multiply the original length and width by 0.5: new length = 12 units * 0.5 = 6 units, and new width = 6 units * 0.5 = 3 units.
By following these steps, you can find either the original dimensions or the new dimensions of an object when the scale changes.